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Matching Theory - Nobel Prize Winning Model

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    MatchingTheory

    Nobel Prize WinningModel - 2010

    Prof. D. Joseph Anbarasu,Bishop Heber College, Tiruchirappalli, India

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    Why Does Unemployment Remains High In Developed

    Countries?

    Contributors

    Peter Diamond, Dale

    Mortensen and

    Christopher Pissarides.

    Justin Lahart and David.

    Jonathan Cheng.

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    Dr. Peter A. Diamond, one of the world's leading economists, is

    an Institute Professor at the Massachusetts Institute of

    Technology.

    He modeled how frictionworks

    Dale T. Mortensenis the Ida C. Cook Professor of Economics at

    Northwestern University and the Niels Bohr Visiting Professor

    of Economics at Aarhus University, a research associate of theNational Bureau of Economic Research (NBER), and a research

    fellow of the Institute for the Study of Labor (IZA). He and Mr.

    Pissarides, 62,appliedthe ideatothe labourmarket

    Prof. Christopher Pissarides,

    from London School of Economics

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    Search Theory

    Difficulties buyersandsellers often face infinding each other in themarketplace

    In the job market, wherethe buyers and sellers areemployersandworkers

    Applied to a host of other

    topics, from the housingmarket to the search fora spouse

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    Friction

    High unemployment can

    be the result of "friction,.

    It keeps employers and

    workers apart. Friction results

    Regulatory rules on firing,

    or

    The lack of appropriateskills among the

    unemployed, among other

    things.

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    Unemployment Insurance

    More generous benefitsgive rise to higherunemployment,

    because workers spendmore time looking.

    It is a benefit to theeconomy

    It leads to workerslanding jobs that betteruse their capabilities

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    World Unemployment Rate

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    Overview of Employment Theories

    People are without jobs andthey have actively lookedfor work within the pastfourweeks.

    The unemployment rate is ameasure of the prevalenceof unemployment

    It is calculated as apercentage by dividing thenumberofunemployed

    individualsbyall

    individualscurrentlyinthe

    labour force.

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    Classical Unemployment

    Classical unemploymentis also known as the realwage unemployment ordisequilibrium

    unemployment. This type of

    unemployment occurswhen trade unions andlabor organization bargain

    for higher wages, whichleads to fall in thedemand for labor.

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    Cyclical Unemployment

    There is a recession.

    There is a downturn in aneconomy

    The aggregate demand for

    goods and servicesdecreases

    Demand for labourdecreases.

    At the time of recession,

    unskilled and surplus laborsbecome unemployed.

    It is called Keynesianunemployment

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    Marxist unemployment

    According to Karl Marx,

    Unemployment is inherent withinthe unstable capitalist system

    Periodic crises of mass expected.

    The function of the proletariat

    within the capitalist system is toprovide a "reserve army oflabour"that creates downwardpressure onwages.

    This is accomplished by dividingthe proletariat into surplus labour

    (employees) and under-employment (unemployed).

    This reserve army of labour fightamong themselves for scarce jobsat lowerand lowerwages.

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    Involuntary Unemployment

    Voluntarily employed arewilling and able to work atany given wage.

    Some people may be

    unemployed simply becausethey are looking for a betterjob

    These people are voluntarilyunemployed.

    Involuntary unemploymentdoes not exist in agrariansocieties nor is it formallyrecognized to exist inunderdeveloped.

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    Full Employment

    Full employment is a condition of thenational economy

    All persons willing and able to workat the prevailing wages and workingconditions are able to do so.

    It is defined either as 0%

    unemployment, literally, nounemployment , as by James Tobin,or

    As the level of employment rateswhen there is no cyclicalunemployment.

    It is defined by the majority of

    mainstream economists as being anacceptable level of naturalunemployment above 0%, thediscrepancy from 0% being due tonon-cyclical types of unemployment.

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    Full Employment

    The specific level of unemploymentthat exists in an economy that doesnot cause inflation to increase.

    The non-accelerating rate ofunemployment (NAIRU) often

    represents an equilibrium betweenthe state of the economy and thelabour market.

    NAIRU is also sometimes referredas a "long-run Phillips curve". For example, suppose that the

    unemployment rate is at 5% and the

    inflation rate is 2%. Assuming that both of these values

    remain the same for a period ofyears, it can be said that whenunemployment is under 5%, it isnatural for an inflation rate of 2% tocorrespond with it.

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    Structural unemployment

    It occurs due to the structuralchanges within an economy.

    This occurs when there is a mismatchof skilled workers in the labourmarket.

    Some of the causes of the structural

    unemployment are geographical immobility (difficulty in

    moving to a new work location),

    occupational immobility (difficulty inlearning a new skill) and

    technological change (introduction ofnew techniques and technologies thatneed less labour force).

    Structural unemployment dependson the growth rate of an economyand also on the structure of anindustry.

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    Frictional unemployment

    Frictional unemployment is atemporarycondition.

    It occurs when an individual is outof his current job and looking foranother job.

    The time periodof shiftingbetween two jobs is known asfrictional unemployment.

    The probability of getting a job ishigh in a developed economy

    This lowers the probability offrictional unemployment.

    There are employment insuranceprograms to tide over frictionalunemployment

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    Beveridge curve

    The frictions in the labourmarket are sometimesillustrated graphicallywith a Beveridge curve, a

    downward-sloping,convex curve.

    It shows a correlationbetween the

    unemployment rate onone axis and the vacancyrate on the other.

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    The Beveridge Curve can move for the

    following reasons

    1. The matching process will determine how efficiently workers find newjobs.

    2. Labour force participation rate; as the number looking for jobs increasesrelative to total population, the unemployment rate increases, shiftingthe curve outwards from the origin.

    3. Long-term unemploymentwill push the curve outward from the origin.This could be caused by;

    deterioration of human capital or

    a negative perception of the unemployed by the potential employers.

    4. Frictional unemployment; a decrease in frictions would reduce thenumber of firms searching for employees and the number of unemployedsearching for jobs. This would shift the curve towards the origin.

    Frictional unemployment is due to job losses,

    resignations and

    job creation.

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    Matching theory(macroeconomics)- Matching function

    A matching function is amathematicalrelationship thatdescribes the formation of

    new relationships fromunmatched agents of theappropriate types.

    For example, in the contextof job formation, matching

    functions are sometimesassumed to have the

    following 'Cobb-Douglas'form:

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    Qa, & b Positive constants. In this equation,

    ut

    the number of unemployed job seekers

    in the economy at a given time ,

    vt

    Number of vacant jobs firms trying to

    fill.

    mt

    The number of new relationships

    (matches) created (per unit of time)

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    Matching function

    A matching function is in generalanalogous to a production

    function.

    A production function usuallyrepresents the production of

    goods and services from inputslike labour and capital,

    A matching function representsthe formation of newrelationships from the pools ofavailable unmatched individuals.

    Estimates of the labor market

    matching function suggest that ithas constant returns to scale =

    a+b1

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    Matching function

    If the fraction of jobs thatseparate (due to firing, quits,and so forth) from one period

    to the next is H, then tocalculate the change inemployment from one periodto the next we must add the

    formation of new matches andsubtract off the separation ofold matches.

    A period may be treated as aweek, a month, a quarter, orsome other convenient periodof time, depending on the dataunder consideration.

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    Matching function

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    Suppose we write the number of

    workers employed in period as

    nt= Lt - ut

    where Ltis the labor force in period

    t. Then given the matching function

    described above the dynamics of

    employment over time would be

    given by

    For simplicity, many studies treatHas a fixed constant. But the fraction of

    workers separating per period of time can be determinedendogenously if

    we assume that the value of being matched varies over time for each

    worker-firm pair (due, for example, to changes inproductivity).

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    Applications

    Matching theory has beenapplied in many economiccontexts, including: Formation of jobs, from

    unemployed workers andvacancies opened by firms

    Formation of marriages,from unmatchedindividuals

    Allocation of loans from

    banks to entrepreneurs The role of money in

    facilitating sales whensellers and buyers meet

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    THANK YOU

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    References

    References of WIKI endorsedPissarides, Christopher (2000), Equilibrium UnemploymentTheory, 2nd ed. MITPress

    Economic Prize Committee of the Royal Swedish Academy of Sciences, 'ScientificBackground', page 2.

    Barbara Petrongolo and ChristopherPissarides (2001), 'Looking into the black box: a

    survey of the matching function'. Journal of Economic Literature 39 (2), pp. 390-431.

    Dale Mortensen and ChristopherPissarides (1994), 'Job creation and job destruction inthe theory of unemployment.' Review of Economic Studies 61, pp. 397-415.

    Wouter den Haan, Gray Ramey, and Joel Watson (2003), 'Liquidity flows and thefragility of business enterprises', Journal ofMonetary Economics 50 (6), pp. 1215-41.

    Nobuhiro Kiyotaki and Randall Wright (1993), 'A search-theoretic approach tomonetary economics'. American Economic Review 83 (1), pp. 63-77.

    Robert Shimer (2005), 'The cyclical behavior of equilibrium unemployment andvacancies'.American Economic Review 95 (1), pp. 25-49.

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