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1 APRIL 2005 VOL 308 SCIENCE www.sciencemag.org 36 CREDITS (TOP TO BOTTOM): R. MONTAGUE;TIM SMITH As any economist will tell you, people don’t always behave rationally when it comes to money. For instance, we sometimes trust complete strangers with our hard-earned dough. This suggests to many that a ten- dency to trust is hard-wired into the human brain. Until now, little was known about the neural circuitry underlying the capacity to trust. But on page 78, neuro- scientists and economists from Texas and California report an intriguing insight: Activity in a brain region called the caudate nucleus reflects one person’s intention to trust another with a sum of money. Their results also suggest that trust isn’t purely noble—it may stem from a cold calculation of expected rewards. “I think it’s a very important paper. It’s going to change the way we think of social interactions,” says Paul Zak, who directs the Center for Neuroeconomic Studies at Clare- mont Graduate University in California. “It’s an exceedingly well done and rigorous study,” agrees Paul Glimcher, a neuroscien- tist at New York University. The research exemplifies the fledgling field of neuroeconomics, which combines the brain imaging tools of neuroscience with the exchange games economists have invented to probe how people behave during financial transactions. It’s also one of the first studies in which the brains of two people were scanned simultaneously during a social interaction. Two volunteers played a trust game from inside functional magnetic resonance imaging scan- ners, one at the California Institute of Technol- ogy in Pasadena and the other at Baylor Col- lege of Medicine in Houston, Texas. In each of 10 rounds, one player, the desig- nated “investor,” received $20. The investor then had the option of sending some, all, or none of the $20 to the other player, the “trustee.” According to the rules of the game, which were known to both sides, any money the trustee received tripled. The trustee then had the option of returning a portion of the new sum to the investor. The players’ only knowl- edge of each other came from numbers flashed on a monitor that indicated the amount of money changing hands in each round, as well as each player’s total for the game. The extent to which a player trusted another with his or her money depended on the recent history of the exchange. If an investor increased the contribution to a trustee immediately fol- lowing a round in which the trustee had reduced payback, the trustee generally rewarded this benevolent reciprocity with a greater return in the next round. But if an investor demonstrated malevolent reciprocity by repaying generosity with stinginess, the trustee usually returned less the next time around. Examining the trustees’ brain scans, the researchers found that activity in the caudate nucleus was greatest when the investor showed benevolent reciprocity and most subdued when the investor showed malevo- lent reciprocity. Moreover, caudate activity rose and fell with changes in the amount of money trustees returned to their investors on the subsequent round. The team concludes that activity in a trustee’s caudate nucleus reflects both the fairness of the investor’s decisions and the trustee’s intention to repay those decisions with trust (or not). The caudate nucleus’s “intention to trust” signal appeared about 14 seconds sooner in later rounds of the game, an indi- cator that the trustee is building an opinion of the investor’s trustworthiness, says Read Montague, who led the Baylor team. The caudate nucleus is well connected to the brain’s reward pathways, and previous work has shown that it revs up when sub- jects expect a reward such as juice or money. Montague and colleagues speculate that trust, admirable trait that it is, boils down to predicting rewards—in this case, the “social juice” of the investor’s reciprocity. Trust has been an element of human social inter- actions for many thousands of years, says Ernst Fehr, a neuroeconomist at the Univer- sity of Zurich in Switzerland, so it makes sense that it would tap into ancient neural systems like the reward pathways. –GREG MILLER Economic Game Shows How the Brain Builds Trust NEUROSCIENCE ‘Cranky’ Proof Reveals Hidden Regularities Mathematicians crave patterns, and nowhere do they find richer pickings than in the theory of numbers. Five years ago, a breakthrough in a long-standing problem connected with one of the simplest func- tions of number theory yielded an unex- pected bonanza of new patterns. Now, a new proof suggests that that was just the begin- ning. “It’s almost certain that there will be more where this came from,” says number theorist George Andrews of Pennsylvania State University, University Park, whose work helped pave the way for the new result. The proof involves the partition function, which counts the number of ways you can reach any integer by adding other positive integers. For instance, the number 4 can be partitioned in five different ways: 1 + 1 + 1 + 1, 2 + 1 + 1, 2 + 2, 3 + 1, or simply 4 itself. In other words, the fourth “partition number” is 5. Similarly, the fifth partition number is 7. Partitions crop up throughout number theory and have proved handy for balancing energy budgets in particle physics. In 1910 or so, Indian mathemat- ical genius Srinivasa Ramanujan noticed that not only the fourth partition number but every fifth partition number after it is also divisible by 5. What’s more, every seventh partition number (beginning with 7) is divis- ible by 7, and every eleventh partition MATHEMATICS Tête-à-tête. Brain scans of the investor (left) and trustee in an economic exchange game shed light on the neural basis of trust. 3 + 3 + 2 + 1 = 9 Sorting it out. “Rank” and “crank” functions divide partitions (above, of 9) into classes. N EWS OF THE W EEK Published by AAAS on March 17, 2017 http://science.sciencemag.org/ Downloaded from
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Page 1: EWS OF THE EEK Economic Game Shows How the …static.vtc.vt.edu/media/documents/Economic_game_shows...According to the rules of the game, which were known to both sides, any money

1 APRIL 2005 VOL 308 SCIENCE www.sciencemag.org36

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As any economist will tell you, people don’talways behave rationally when it comes tomoney. For instance, we sometimes trustcomplete strangers with our hard-earneddough. This suggests to many that a ten-dency to trust is hard-wiredinto the human brain.

Until now, little was knownabout the neural circuitryunderlying the capacity totrust. But on page 78, neuro-scientists and economistsfrom Texas and Californiareport an intriguing insight:Activity in a brain regioncalled the caudate nucleusreflects one person’s intentionto trust another with a sum ofmoney. Their results also suggest that trustisn’t purely noble—it may stem from a coldcalculation of expected rewards.

“I think it’s a very important paper. It’sgoing to change the way we think of socialinteractions,” says Paul Zak, who directs theCenter for Neuroeconomic Studies at Clare-mont Graduate University in California.“It’s an exceedingly well done and rigorousstudy,” agrees Paul Glimcher, a neuroscien-tist at New York University.

The research exemplifies the fledglingfield of neuroeconomics, which combines thebrain imaging tools of neuroscience with theexchange games economists have invented toprobe how people behave during financialtransactions. It’s also one of the first studies inwhich the brains of two people were scannedsimultaneously during a social interaction. Twovolunteers played a trust game from insidefunctional magnetic resonance imaging scan-ners, one at the California Institute of Technol-ogy in Pasadena and the other at Baylor Col-lege of Medicine in Houston, Texas.

In each of 10 rounds, one player, the desig-nated “investor,” received $20. The investorthen had the option of sending some, all, ornone of the $20 to the other player, the“trustee.” According to the rules of the game,which were known to both sides, any moneythe trustee received tripled. The trustee thenhad the option of returning a portion of the newsum to the investor. The players’ only knowl-edge of each other came from numbers flashedon a monitor that indicated the amount ofmoney changing hands in each round, as wellas each player’s total for the game.

The extent to which a player trusted anotherwith his or her money depended on the recenthistory of the exchange. If an investor increasedthe contribution to a trustee immediately fol-lowing a round in which the trustee had reducedpayback, the trustee generally rewarded this

benevolent reciprocity with a greater return inthe next round. But if an investor demonstratedmalevolent reciprocity by repaying generositywith stinginess, the trustee usually returned lessthe next time around.

Examining the trustees’ brain scans, theresearchers found that activity in the caudatenucleus was greatest when the investorshowed benevolent reciprocity and mostsubdued when the investor showed malevo-lent reciprocity. Moreover, caudate activityrose and fell with changes in the amount ofmoney trustees returned to their investors on

the subsequent round. The team concludesthat activity in a trustee’s caudate nucleusreflects both the fairness of the investor’sdecisions and the trustee’s intention to repaythose decisions with trust (or not).

The caudate nucleus’s “intention totrust” signal appeared about 14 secondssooner in later rounds of the game, an indi-cator that the trustee is building an opinionof the investor’s trustworthiness, says ReadMontague, who led the Baylor team.

The caudate nucleus is well connected tothe brain’s reward pathways, and previouswork has shown that it revs up when sub-jects expect a reward such as juice or money.Montague and colleagues speculate thattrust, admirable trait that it is, boils down topredicting rewards—in this case, the “socialjuice” of the investor’s reciprocity. Trust hasbeen an element of human social inter-actions for many thousands of years, saysErnst Fehr, a neuroeconomist at the Univer-sity of Zurich in Switzerland, so it makessense that it would tap into ancient neuralsystems like the reward pathways.

–GREGMILLER

Economic Game Shows How the Brain Builds TrustNEUROSC I ENC E

‘Cranky’ Proof Reveals Hidden RegularitiesMathematicians crave patterns, andnowhere do they find richer pickings than inthe theory of numbers. Five years ago, abreakthrough in a long-standing problemconnected with one of the simplest func-tions of number theory yielded an unex-pected bonanza of new patterns. Now, a newproof suggests that that was just the begin-ning. “It’s almost certain that there will be

more where this came from,” says number theorist George Andrews of PennsylvaniaState University, University Park, whosework helped pave the way for the new result.

The proof involves the partition function,which counts the number of ways you can reachany integer by adding other positive integers. Forinstance, the number 4 can be partitioned in fivedifferent ways: 1 + 1 + 1 + 1, 2 + 1 + 1, 2 + 2,

3 + 1, or simply 4 itself. In otherwords, the fourth “partitionnumber” is 5. Similarly, the

fifth partition number is 7.Partitions crop up

throughout numbertheory and haveproved handy forb a l a n c i n genergy budgetsin particlephysics.

In 1910 or so,Indian mathemat-

ical genius SrinivasaRamanujan noticed that

not only the fourth partition number butevery fifth partition number after it is alsodivisible by 5. What’s more, every seventhpartition number (beginning with 7) is divis-ible by 7, and every eleventh partition

MATHEMAT I C S

Tête-à-tête. Brain scans of the investor (left) and trustee in aneconomic exchange game shed light on the neural basis of trust.

3+ 3 + 2 + 1= 9

Sorting it out. “Rank” and “crank” functionsdivide partitions (above, of 9) into classes.

N E W S O F T H E W E E K

Published by AAAS

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Page 2: EWS OF THE EEK Economic Game Shows How the …static.vtc.vt.edu/media/documents/Economic_game_shows...According to the rules of the game, which were known to both sides, any money

(5718), 36. [doi: 10.1126/science.308.5718.36a]308Science Greg Miller (March 31, 2005) Economic Game Shows How the Brain Builds Trust

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