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Faculty of Business and Law SCHOOL OF ACCOUNTING, ECONOMICS AND FINANCE School Working Paper - Economic Series 2006 SWP 2006/26 ESTIMATING INTERGENERATIONAL DISTRIBUTION PREFERENCES USING CHOICE MODELLING Helen Scarborough & Jeff Bennett The working papers are a series of manuscripts in their draft form. Please do not quote without obtaining the author’s consent as these works are in their draft form. The views expressed in this paper are those of the author and not necessarily endorsed by the School.
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Faculty of Business and Law

SCHOOL OF ACCOUNTING, ECONOMICS AND FINANCE

School Working Paper - Economic Series 2006

SWP 2006/26

ESTIMATING INTERGENERATIONAL DISTRIBUTION

PREFERENCES USING CHOICE MODELLING

Helen Scarborough & Jeff Bennett

The working papers are a series of manuscripts in their draft form. Please do not quote without obtaining the author’s consent as these works are in their draft form. The views expressed in this paper are those of the author and not necessarily endorsed by the School.

ESTIMATING INTERGENERATIONAL DISTRIBUTION

PREFERENCES USING CHOICE MODELLING

Helen Scarborough*

School of Accounting Economics and Finance, Faculty of Business and Law

Deakin University, Warrnambool, Vic. 3280 Australia

email: [email protected]

Jeff Bennett

Crawford School of Economics and Government ANU College of Asia & the Pacific The Australian National University

Canberra, ACT 0200 Australia email: [email protected]

ABSTRACT

Resource management decisions influence not only the output of the economy but also the

distribution of utility between groups within the community. The theory of Cost Benefit

Analysis provides a means of incorporating distributional changes into the decision making

calculus through the application of distributional or welfare weights. This paper reports the

results of research designed to estimate distributional weights suitable for inclusion in a

Cost Benefit Analysis framework. The findings of a choice modelling experiment designed

to estimate community preferences with respect to intergenerational utility distribution are

presented.

JEL classification codes: Q56, C35, D61

Keywords: Distributional weights, Cost benefit analysis, Intergenerational

distribution, Choice modelling.

*Corresponding author contact details Ph: +61 3 55633547, Fax: +61 3 55633320

Page 1

ESTIMATING INTERGENERATIONAL DISTRIBUTION PREFERENCES USING CHOICE MODELLING

ABSTRACT Resource management decisions influence not only the output of the economy but also the

distribution of utility between groups within the community. The theory of Cost Benefit

Analysis provides a means of incorporating distributional changes into the decision making

calculus through the application of distributional or welfare weights. This paper reports the

results of research designed to estimate distributional weights suitable for inclusion in a

Cost Benefit Analysis framework. The findings of a choice modelling experiment designed

to estimate community preferences with respect to intergenerational utility distribution are

presented.

1. INTRODUCTION Resource management policies have a range of distributional effects within the economy. It

is unlikely that those benefiting from a specific policy change will be the same group as

those who bear the cost. Assessment of the distributional impacts of policy alternatives can

be based on criteria such as the economic status, ethnicity, age, geographical or temporal

distribution of those who gain and those who lose. As awareness of the distributional

impacts of policy change has heightened, debates have increasingly involved these

distributional considerations (Serret and Johnstone 2006). Yet, the incorporation of

distribution in policy analysis is difficult “as there is no commonly accepted definition of

optimum equity: certainly nothing analogous to maximum net benefits from economic

efficiency” (Sutherland 2006).

Page 2

One method of including distributional considerations in policy analysis is through the

application of distributional weights in a cost benefit analysis (CBA) setting. This theory is

briefly outlined in section two. Johansson-Stenman (2005) illustrates a large range of cases

where the application of distributional weights is (second-best) optimal thus reinforcing the

argument that efficiency and distributional concerns must be analysed simultaneously.

However, despite the well established welfare economic theoretical underpinnings of

incorporating equity considerations in policy analysis, there has also been extensive debate

in the literature regarding the efficacy of applying distributional weights. This debate was

particularly active during the 1970s in the context of project appraisal by the World Bank

(Dasgupta, Sen et al. 1972; Little and Mirrlees 1974; Squire and van der Tak 1975; Squire

1989).

In practical terms, the approach to incorporating distributional weights in CBA varies. In

most cases, the practice of the World Bank is not to apply explicit distributional weights in

CBA (Little and Mirrlees 1994; World Bank 1996). In the UK, H.M. Treasury, has

officially endorsed distributional weights in CBA as detailed in their Green Book

(H.M.Treasury 2003). In Australia, the Commonwealth Department of Finance and

Administration recommends that, as a general rule, distributional weights not be assigned

“and that recommendations of cost-benefit analyses flag the need for distributional

judgements to be made at the political level” (Department of Finance and Administration

2006). This raises the issue of the distinction between the application of explicit or implicit

distributional weights. Adler and Possner (1999) suggest that at a national level in the US,

if distributional weights are applied, the weighting appears to be made implicitly through

the policy decision making process.

Page 3

One of the impediments to the adoption of the application of explicit distributional weights

has been the difficulty in estimating community preferences for the distribution of utility.

Revealed preferences studies such as those by Basu (1980) have estimated preferences by

policy makers based on the analysis of past decisions. Yet there is a paucity of knowledge

of the distributional preferences of the community.

In this paper, this limitation is addressed through the application of the stated choice

method of choice modelling (CM) to the estimation of distributional preferences. CM has

increasingly been recognized as a method of estimating relative values for non-marketed

environmental attributes (Bennett and Blamey 2001). An illustration of the application of

the CM methodology to the problem of estimating distributional weights is provided in

section three. Rather than taking the conventional CM focus on utility estimation, the

application reported here involves utility distributions between generations being used as

policy change attributes. The context used is that of environmental policy development.

The research is therefore particularly relevant to the sustainability debate, where

sustainable development implies some general rule about maintaining the capability of

future generations to achieve the same level of well-being as the current generation

(Tacconi 2000).

The results of the CM experiment, which are summarised in section four, suggest that the

community holds a degree of altruism towards future generations. Discussion of these

results in section five indicates that the weights estimated are within the range of recent

speculation regarding intergenerational distributional preferences. The findings indicating

community distributional preferences favouring the utility of future generations have

significant natural resource management policy implications. Furthermore, the plausibility

Page 4

of the results supports the potential of CM to estimate community distributional

preferences.

2. DISTRIBUTIONAL WEIGHTING AND BENEFIT COST ANALYSIS

Using a Bergson-Samuelson social welfare function (SWF), social welfare (Wj)

representing the social preferences of respondent, j, can be expressed as;

[1] )(...)()()( 332211 nnj xUxUxUxUW ++++=

where Ui is the utility of the i=1…n people in society, with xi the quantity of goods

consumed by individual i. The form of the SWF depends on whose preferences are being

reflected, and it is often expressed as the views of parliament or social planners [see, for

example, Mäler, 1985]. In this paper, we are interested in the SWFs of individuals within

the general community. Changes in social welfare resulting from policy changes can be

accounted for by acknowledging that for some individuals there may be positive or

negative changes in utility as a result of the introduction of a specific policy. Aggregation

across individuals in this form of the welfare function assumes that the marginal utility of

consumption is equal for all individuals: additions to consumption are valued equally by

each individual. Recognising that this may not be the case, distributional concerns can be

allowed for by assigning distributional weights to the gains and losses to various

individuals:

)(...)()()( 332211 321 nnjjjjj xUxUxUxUW

nαααα ++++= [2]

Page 5

where the distributional weights, held by person j, for each individual are given by the

’s. For further elaboration on the derivation of distributional weights see Johansson

(1987), Dreze and Stern (1987), Mäler (1985) or Layard and Glaister (1994).

jiα

The distributional weights ( ’s) that can be applied to the elements of a CBA are

variously referred to as the marginal social utilities of income (Johansson 1993), the

welfare weights (Dreze and Stern 1987), or the marginal social utilities (Boadway and

Bruce 1984). These distributional weights are the products of two components: the change

in social welfare if the utility of individual i increases marginally

jiα

)(i

j

UW

∂∂ and the

marginal utility of consumption of individual i, )(i

ix

U∂

∂ .1

i

i

i

jj

i xU

UW

∂∂⋅

∂∂

=α [3]

The first component of the weight indicates how the person, j, whose social welfare

preferences are being reflected, ranks the utility of individual i in their distributional

preferences. For example, in the view of person j, is social welfare enhanced or diminished

if the utility of a low income person is improved relative to a high income person?

Examples of characteristics that may influence these perceptions include wealth, ethnicity,

race, geography or generation.

1 Strictly speaking, this is the perception, of the person whose social welfare preferences are being reflected,

of the marginal utility of consumption of other members of the community.

Page 6

The second component of the weight reflects the assessment, by the person whose welfare

preferences are being reflected, of how the well-being of individual i changes as a result of

a change in consumption, often substituted by money as a numéraire. For example, is the

view held that a dollar of benefit increases the utility of a low income person more than it

would increase the utility of a high income person? Although this component of the weight

is often referred to in terms of income, this does not necessarily need to be the case. For

example, it could also be the marginal utility of an additional unit of an environmental

good for individual i. Medin, Nyborg et.al. (2001) illustrate the sensitivity of distributional

weights to the choice of numéraire.

The distributional weights may be different for each individual, j, in society reflecting their

distributional preferences. Assumptions regarding the first component of the distributional

weight reflect varying theories of social justice. For example, in a Benthamite or utilitarian

society i

j

UW

∂∂ = 1 for all, resulting in all changes in utility being treated equally.

Alternatively, in a Rawlsian society i

j

UW

∂∂ = 0 for all, except the worst-off, reflecting

Rawl’s view that welfare is maximised by seeking to maximise the utility of the least well-

off individual.

In practice, social justice preferences will most likely be in terms of groups within society

who share common characteristics, rather than individuals. For this reason, the proceeding

analysis is in terms of groups rather than individuals. Distributional weights are thus

dependent on the impact of money, assuming this is the chosen numéraire, on the well-

being of the group and the impact of the change in utility of a group on society’s total

welfare.

Page 7

There are few examples where distributional weights have been explicitly applied

(Markandya 1998). In part, this may be due to the prospect of an efficiency cost arising

from the incorporation of equity preferences in policy analysis. This case has been strongly

argued by Harberger (1978) and Harberger and Jenkins (2002) and countered by authors

such as Layard (1980), Dreze (1998) and Johansson-Stenman (2005). A further difficulty

has been the question of whose social welfare preferences should be considered. A lack of

knowledge of the community’s social welfare and distributional preferences and an

inability to elicit and estimate distributional preferences has also contributed to the limited

application of explicit distributional weights. There has been some work on estimating

distributional weights with respect to income distribution (Cowell and Gardiner 1999) but

even less in estimating weights that acknowledge distribution is impacted by a broader

range of marginal utilities.

To elicit community utility distribution preferences and hence a set of distributional

weights ( ), a CM experiment involving intergenerational utility redistribution arising

from changing environmental policies was conducted. Environmental policies can affect

the distribution of resources, both financial and environmental, between generations. Policy

debates have increasingly involved generational distributional considerations. The

Brundtland Commission (World Commission on Environment and Development 1987)

defined sustainable development as “development that meets the needs of the present

without compromising the ability of future generations to meet their own needs” and

Pearce and Barbier (2000) stress the “fair treatment of future generations”. Arrow,

Dasgupta, et.al. (2004) take sustainability to mean that intertemporal social welfare must

not decrease over time.

jiα

Page 8

These definitions highlight an anthropocentric policy focus that places emphasis on

achieving a quality of life that can be maintained for future generations. It is impossible to

know the exact conditions that will allow the certain existence of future generations.

Consequently, intergenerational utility distribution also depends on the extent of altruism

the current generations hold for future generations. Those advocating “environmental

justice”, both in principle and in terms of practical political action, emphasise the

distributional implications of environmental change (Agyeman, Bullard et al. 2003). They

highlight the strong link between sustainability and social justice.

Yet notions of social justice, both generally and with respect to sustainability and

intergenerational equity, vary between individuals reflecting personal judgements regarding

fairness. Broome (1995) suggests a search for a class of reasons, referred to as claims, why

one group should be given priority over another. He argues that fairness is about mediating

the claims of different people and requires that claims should be satisfied in proportion to

their strength. The important aspect of this view of equity is the need to mediate claims as

one of the paramount considerations for fairness because an aspect of justice is not just how

a group fares in relation to their claims but also involves how they fare in relation to the

rest of the claimants (Rescher 2002). In the context of sustainability, the claimants reflect

varying generations and the question becomes one of weighing the gains and losses to

different generations. Again, the application of the concepts so developed is limited

because of the lack of information regarding the strength of intergenerational utility

preferences.

Page 9

Another key feature of the literature on fairness is that it is dependent on the actor and

beliefs about what is fair are personal (Elster 1992). Elster suggests four groups of actors

that can be useful for analysing distributive justice; individuals in the organisation that is

charged with the allocative task, political actors, claimants and public opinion. While

policy makers generally have the opportunity to express their justice principles, the public

has limited forms of social choice in which to express their preferences. This is one of the

strengths of using a stated preference technique to estimate community utility distribution

preferences.

3. INTERGENERATIONAL DISTRIBUTION CM EXPERIMENT

A CM experiment has been undertaken where, rather than estimating utility as a function of

the attributes of goods consumed as in conventional applications, social welfare is the

dependent variable and the utility levels of different groups, in this case generations, are the

attributes that are varied. This application of CM addresses the question of the

distributional effects of policies and the consequent social welfare outcomes of policy

alternatives. Rather than applying the model to the estimation of individual well being and

value in a dollar measure, the emphasis is on the estimation of the relative distributional

preferences of respondents. It is the respondent’s conception of social welfare rather than

utility that is being maximised in the choices being made.

Choices between the distribution associated with the status quo and changes in policy

resulting in distributional changes were presented to respondents. The attributes of the

policy options that were varied were the levels of utility or well-being of particular groups

Page 10

within society and the measure of interest is the willingness of respondents to trade-off a

change in the utility of one group for a change in the utility of another group.

Arrow (1963) suggests that people have two distinct personalities: their self-interested

selves essentially disjoint from aspects of their ethical selves. Self-interested preferences

guide day-to-day participation in the market economy while their ethical ones apply to

participation in collective decision making. Nyborg (2000) formalises this distinction

between “Homo economicus”, the individual maximising personal well-being, and “Homo

politicus”, the individual expressing their social justice preferences. Focus on the behaviour

of “homo politicus” allows for a sense of social justice that Musgrave and Musgrave (1989)

argue is essential for the definition of a good society and the functioning of a democratic

society. Broome (1995) describes this as a notion of communal good that is separate from

the good of individuals.

Hence, this CM experiment is aimed at eliciting respondents’ distributional preferences

reflecting their social justice preferences. The ability of respondents to view policy in this

manner is supported by a study of the equity considerations of the burden of meeting the

costs of environmental policy by Atkinson, Machado et.al. (2000) who found the

proposition that respondents significantly allowed their own position to influence their

ranking of different options was not strongly supported. A degree of interpersonally

comparable cardinal utility must be assumed so that respondents are able to make

judgements about the well-being of other groups in society. In this application, respondents

use their knowledge of the well-being of groups within society under the status quo policy.

Therefore, decision-making is seen in a broader context of welfare maximization within a

social structure rather than individuals maximising their utilities. Hence, each individual

Page 11

has a personal view of social justice based on their distributional preferences. Respondents

were encouraged to adopt this approach by the following introduction to the survey

instrument:

“Many environmental policies result in a transfer of both income and resources

between generations. For example, some environmental policies are paid for by

current taxpayers with the aim of improving the environment for future generations.

We are interested in finding out what you think about the way these policies lead to

gains for some generations and costs for other generations.”

Hypothetical policies with generic labels (A, B, C etc) were used as the sources of

distributional change for the CM choice sets in an attempt to ensure that values other than

distribution preferences were not reflected in the respondent’s choices. This also

encouraged the respondent to focus on their social justice preferences. This does not mean

that respondents did not bring preconceived beliefs to the decision making process, rather

that these beliefs are part of ethical preferences regarding social welfare.

The attributes in this experiment were described in terms of the impact on the utilities of

individuals from different generations resulting from the three hypothetical and generic

policy options. Individuals with specific generational characteristics were used as proxies

for the group described. Following Mackay (1997), a time span of 25 years was taken as a

generation. The attributes and levels are described in Table 1.

[Insert Table 1 about here]

Page 12

The chosen design limited the choices to generations currently living to avoid time and

discounting complications, acknowledging the trade-offs required when considering the

cognitive demands placed on respondents. The total time period of the analysis could have

been extended by increasing the number of attributes, however, this also would have

increased the cognitive burden for respondents and there is likely to be a trade-off between

the number of attributes and valid responses (Louviere, Hensher et al. 2000).

The levels of the attributes were described in dollar terms. The dollar terms reflected the

change in utility to the individual with the specific characteristic described by the attribute.

Dollars were adopted as a metric with which respondents could associate.

The main advantage with this numéraire is that dollars are a common and well understood

metric to respondents. However, respondents were advised in the following way that the

dollar values represented the general utility of the individuals, and should not be interpreted

as financial wealth alone:

“In this survey, dollars have been used to measure the gains and losses to different

generations. The dollar amounts represent gains and losses from changes to access

to environmental resources such as air, water, forests and beaches as well as

monetary wealth.”

It is recognised that a disadvantage associated with this choice of numéraire is the difficulty

for respondents to think in terms of general well-being or welfare and not just monetary

income. The distribution of preferences may be sensitive to the choice of numéraire and it

is possible that if a different numéraire was applied, the distributional preferences may

vary.

Page 13

Theoretically, a possible solution to this difficulty would be to describe the attributes in

terms of an “index of well-being”. This has been used in making a theoretical case in an

example by Broome (1995) but not in an empirical exercise. While an index of well-being

would encourage respondents to think in terms of utility being broader than money and

therefore more in line with the notion of utility in the literature (Sen 1982; Sen 2000), the

difficulty and subjectivity in developing an index, determining the values for components

of the index and descriptors of the index make it impractical. Even if these issues were

resolved, the cognitive difficulty for respondents of making complex decisions in an

unfamiliar metric would remain a concern. For these reasons money was selected as the

numéraire.

The levels of the attributes involve the manipulation of attribute differences, not absolute

values of the attributes. The hypothetical dollar values represent a one-off loss or gain to

the individual representing the group described by the specific characteristic determining

the attribute. In this case, there are five levels for each attribute with each level varying

well-being to the value of A$500. Feedback from focus groups suggested this degree of

variation was large enough to be significant to respondents in determining a choice, and not

unrealistic in representing a once-off gain or loss.

A fractional factorial design taken from Lazari and Anderson (1994) was used to create 25

choice sets, an example of which is presented in Figure 1. The 25 sets were blocked into

groups of five so that each respondent was presented with five choice sets in a survey.

Respondents were provided with a reference key such as that in Figure 2 when asked to

complete the choice sets.

Page 14

[Insert Figures 1 and 2 about here]

A survey was conducted in July 2005 across a random sample of households in

Warrnambool, a regional city in South West Victoria, Australia. A personal drop off and

pick up form of distribution and collection was used. Acknowledging one of the strategies

for data collection suggested by Dillman (2000), respondents were provided with the

additional motivation to respond through the opportunity to participate in the draw for a

A$150 shopping voucher at a major retail chain if they completed the questionnaire. A total

of 431 questionnaires were distributed. Of the 337 that were collected or returned by mail,

295 were usable giving a response rate of 68.5%. Each of the 295 usable responses

included five completed choice sets giving a total of 1475 completed choice sets.

Each respondent also completed socio-demographic questions and two qualitative

questions; one regarding specific strategies they had employed in answering the choice set

questions and one regarding general comments they wished to make about the survey.

Comparison of the survey sample’s socio-demographics with the Australian Bureau of

Statistics (2001) census data indicates a slightly higher representation of females and

younger people completing the survey than in the general population. Table 2 provides a

comparison of the age profile of the sample with that of the 2001 census as this variable is

particularly relevant to the analysis.

[Insert Table 2 about here]

Standard choice experiment procedures were applied with the distinction that an indirect

welfare function rather than an indirect utility function has been assumed. It is assumed

; where is the deterministic component for respondent j and choice z, jz

jz

jz ewW += j

zw

Page 15

and can be decomposed in where is a vector of the attributes of

alternative z and is a vector of the characteristics of respondent j. The stochastic

component of welfare is . Hence,

][ jjz S,X=j

zw jzX

jS

jze

)( zzzjz ASCASCw ∗++= ∑∑ jj

njz SγXβ [4]

where ASCz is an alternative specific constant associated with the change options, zβ are

the coefficients associated with each attribute and is the vector of the coefficients

associated with the socio-demographic characteristics intersected with the ASC to avoid

singularities. Assuming that the random component of welfare is distributed as IID and

with an extreme value (Gumbel) distribution, then the probability of an option being

chosen can be expressed as the multinomial logit (MNL) or conditional logit (McFadden

1974).

jnγ

∑=≠∀>

z

jz

jmj

zj

m ww

mzWWPμ

μexp

)exp(),( [5]

where μ is a scale parameter which is inversely proportional to the standard deviation of the

error term and and are conditional indirect welfare functions for choice options m

and z, which are assumed to be linear in parameters.

jmw j

zw

The key outputs of the welfare based choice model are the social marginal rates of

substitution (SMRS). Given that the attributes of the choice model are the changes in utility

accruing to particular groups then the SMRS are estimated by the ratios of the marginal

Page 16

welfare changes (βs). Focussing on the ratios of the welfare parameters also overcomes the

problem of confounding presented by the scale parameter in the choice model. For

example, assuming a specific policy, m, the SMRS by respondent j, between those aged 50

and those aged 25 is:

jmAged

jmAged

jmAged

jmAgedj

AgedAgedm

SMRS25

50

25

50

2550 β

βδβδβ

== [6]

In effect, the SMRS reflects a willingness to accept distributional change, which can be

represented graphically by the slope of the SWF. This reflects the respondent’s notion of

social justice. For example, in Figure 3, a movement from R to S indicates a willingness to

trade a decrease in the utility of those in the aged 50 generation for an increase in the utility

of those in the aged 25 generation.2

[Insert Figure 3 about here]

The SRMS also yields distributional weights applicable to a CBA setting. For example, the

distributional weight, associated with Policy m, between those aged 50 and those aged 25

can be estimated by the SMRS.

25

25

25

50

50

50

2550

mAged

mAged

mAged

jm

mAged

mAged

mAged

jm

j

AgedAgedm

xU

UW

xU

UW

SMRS

∂⋅

∂∂

∂⋅

∂∂

= [7]

2 Figure 3 assumes a well-behaved utilitarian SWF.

Page 17

This reflects the two components of the distributional weight as indicated in Section two

and equation [3].

The hypotheses to be tested using the model are that the distributional weights for each age

group are not equal to one. For example, if there is altruism towards the younger

generations by the community then when responses are aggregated:

150

25 ≥aged

agedβ

β and 150≥

aged

newbornβ

β [8]

4. RESULTS

The MNL was estimated, using the Stata software program. The IIA (independence of

irrelevant alternatives) property was tested using the test suggested by Hausman and

McFadden (1984) and compliance was confirmed. Each of the variables used in the model

is specified in Table 3.

[Insert Table 3 about here]

Model results are summarised in Table 4. Each choice set attribute parameter is significant

at the 1% level and signed as expected a priori indicating that the utility of each age group

contributes positively to the social welfare function.

[Insert Table 4 about here]

Of the demographic characteristics, the age, income and parental status variables are

significant at the five percent level. The interpretation of the signs for the demographic

Page 18

characteristics is complicated by the changes being both positive and negative in the design

of the choice experiment.

Table 5 summarises the 95% confidence intervals for the mean social marginal rates of

substitution. These results indicate a distributional preference towards the younger

generations with the ratio of the welfare parameters being greater than 1 for both the aged

25 generation and newborns relative to the aged 50 generation. For the Aged25/Aged50,

the SMRS suggests a relative distributional weight of 1.70 and for the Newborn/Aged50 a

weighting of 2.35.

[Insert Table 5 about here]

The preference towards the utility of younger generations evident in the quantitative

analysis is consistent with comments made by respondents to the qualitative questions

regarding the strategy they had used to make choices. (One hundred and fourteen of the

295 respondents chose to explain the strategy they had used in answering the choice

questions.) Examples of these comments include:

“Help younger generation and early workforce people.”

“Picked ones that were most likely beneficial to the younger generation.”

“Thinking about effect on future generations.”

5. DISCUSSION AND CONCLUSION

The findings of this research are particularly relevant to the sustainability debate and in the

context of the trade-off between consumption today and consumption in the future. The

Page 19

magnitude of the weighting towards the utility of future generations supports the contention

of Arrow, Dasgupta et.al. (2004) that individuals “derive a positive externality (outside of

the marketplace) from the welfare of future generations”. The findings also support

estimates made by Johansson-Stenman, Carlsson et.al (2002) in an experiment involving

students’ preferences with respect to “imaginary grandchildren” and future income

distribution, where they found that respondents were willing to trade-off “non-negligible”

amounts of money for increasing their grandchild’s relative standing in society.

Arrow, Dasgupta, et.al (2004) have approached the question of intergenerational

equity by estimating the elasticity of marginal (social) utility. Theoretically, for a

consumption path in a market economy to be socially optimal, the market rate of return on

investment, i, must be equal to the social rate of interest on consumption, denoted by

r(Arrow, Dasgupta et al. 2004). If i exceeds r, markets are biased toward insufficient

saving and excessive current consumption. Based on the estimation of an intertemporal

social welfare function, the social rate of interest on consumption r, is given by the relation

gr ηδ += , where δ is the social rate of pure time preference, η is the elasticity of marginal

(social) utility and g is the rate of growth in aggregate consumption. The choice of δ and η

are value judgements which are likely to vary between individuals. The term η, which is of

relevance to the findings reported here, is interpreted by Arrow, Dasgupta et.al. as “a social

preference for equality of consumption among generations”. They speculate that the value

of η is linked to the intertemporal elasticity of consumption and based on Hall’s (1988)

time series estimates of this suggest that “plausible values for η might lie in the range of 2-

4”. Although these authors have approached the question of intergenerational distribution

from a different perspective, the distributional weights between those aged 50 and

newborns estimated in this study falls within this expected range.

Page 20

In conclusion, the results of this research demonstrate distributional weights that are not

equal to one and positively favour the younger generations. The positive distributional

preferences towards future generations may be due to a combination of factors including

altruism toward future generations and diminishing marginal utility as raised by Arrow,

Dasgupta et. al. (2004). The implication of the results is that environmental policies that

favour intergenerational transfers of utility from current to future generations will be more

favourably treated in CBA and hence more likely to be accepted as preferred options by the

community.

Furthermore, the findings of this research show that choice modelling is a useful method

for eliciting the utility distributional preferences of the community. This has implications

for the incorporation of the distributional impacts of environmental policies into CBA and

hence decision making. An advantage of this approach is that it provides the policy maker

with information regarding the community’s preferences across generations. Policy

interventions have to be sensitive to the gainers and losers, not only because that matters

from a social justice point of view, but also because the political acceptability and

effectiveness of the measures will depend on the distribution of costs and benefits.

• We appreciate the comments of Assoc. Prof. Michael Burton and participants of the

2006 conference of the Australian Agricultural and Economics Society on an

earlier draft of this paper.

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Figure 1

Example of an intergenerational utility distribution choice set

Figure 2: Reference key for choice set in Figure 1

Page 25

Figure 3

Example of social welfare function

R

SSWF

Utility of the Aged 50 generation

Utility of the Aged 25 generation

Table 1

Attributes and levels in intergenerational distribution choice experiment

Attribute Levels ($A)

Utility change Person Aged 50 -$1,000 -$500 +$500 +$1,000 +$1,500

Utility change Person Aged 25 -$1,000 -$500 +$500 +$1,000 +$1,500

Utility change Newborn -$1,000 -$500 +$500 +$1,000 +$1,500

Page 26

Table 2

Age profile of Respondents

Age group Number % of sample % of Census 2001*

18-24 34 11.5 13.8

25-34 49 16.6 18.0

35-44 56 19.0 20.1

45-54 70 23.7 17.7

55-64 46 15.6 11.6

Over 65 36 12.2 18.8

No response 4 1.4

Total 295 100 100

*Taken as % of census population aged 18 and over (Australian Bureau of Statistics 2001).

Table 3

Variables used in the CM application

Aged50 Change in the well-being of person representing those aged 50

Aged25 Change in the well-being of person representing those aged 25

Newborn Change in the well-being of person representing those newborn

Age Age of respondent in years

Income Income of respondent in last year in thousands of Australian dollars

Parent Parental status of respondent

Gparent Grandparental status of respondent

Noschild Number of children of respondent

Gender Gender of respondent

Education Education level of respondent; pre secondary, secondary, tertiary

Page 27

Table 4

Intergenerational utility distribution MNL model results

Variable Coefficient Std error z P>/z/

ASC -1.1362 .2581 -4.40 0.000

Aged50 0.0003 .0001 5.47 0.000

Aged25 0.0005 .0000 9.06 0.000

Newborn 0.0006 .0001 10.21 0.000

age 0.0153 .0063 2.44 0.015*

income 0.0094 .0034 2.75 0.006*

parent -0.5253 .2357 -2.23 0.026*

noschild -0.0273 .0641 -0.43 0.670

gparent 0.2128 .2080 1.02 0.306

gender -0.1694 .1359 -1.25 0.213

edu 0.0225 .0846 0.27 0.790

Model Statistics

Log L -1133.29

Adj Rho-square 0.0911

*Significant at 5% level

Page 28

Table 5

Social marginal rates of substitution

Aged 25/Aged 50

Mean 95% CI*

Newborn/Aged 50

Mean 95% CI*

Newborn/Aged 25

Mean 95% CI*

Model excluding

SDC

1.50

(0.97, 2.37)

2.28

(1.47, 3.74)

1.54

(1.12, 2.10)

Model including

SDC

1.70

(1.03, 2.88)

2.35

(1.43, 4.28)

1.39

(1.00, 1.98)

*95% confidence intervals estimated with the Krinsky-Robb(1986) method using 1000

replications.

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