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Creating Culture in the Lab: Equilibrium Conventions in Inter-Generational Ultimatum Games

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Author Info
Schotter, A.
Sopher, B.

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Abstract

The Ultimatum Game and the experiments surrounding it, have presented economists with a puzzle that they have struggled to explain. But as Robert Aumann has pointed out, while there may be only one sub-game perfect equilibrium to the Ultimatum Game, there are an infinite number of Nash equilibria. All that is needed to maintain a non-sub-game perfect equilibrium is a set of Sender beliefs that the offer contemplated is the minimum that would be accepted and behavior on the part of the Receivers that confirms these beliefs. The only puzzle is how such a set of mutually consistent beliefs developed in the first place and how they are passed on from one generation of player to the next. Using an inter-generational game experimental setting, this paper investigates how "culture" serves as the selection mechanism which solves this puzzle. Culture is then simply a system of beliefs and self-confirming actions which support any one of these non-sub-game perfect Nash equilibria as the accepted solution to the game being played. The outcome is, as Robert Aumann has called it a "perfectly good" Nash equilibrium convention which is just not perfect.

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Paper provided by C.V. Starr Center for Applied Economics, New York University in its series Working Papers with number 00-07.

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Length: 50 pages
Date of creation: 2000
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Handle: RePEc:cvs:starer:00-07

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Postal: C.V. Starr Center, Department of Economics, New York University, 19 W. 4th Street, 6th Floor, New York, NY 10012
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Web page: http://econ.as.nyu.edu/object/econ.cvstarr.html
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Postal: C.V. Starr Center, Department of Economics, New York University, 19 W. 4th Street, 6th Floor, New York, NY 10012
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Find related papers by JEL classification:
C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Schotter, A. & Sopher, B., 2000. "Social Learning and Coordination Conventions in Inter-Generational Games: An Experiment in Lamarckian Evolutionary Dynamics," Working Papers 00-01, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
    Other versions:
  2. Nyarko, Yaw & Schotter, Andrew, 1998. "An Experimental Study of Belief Learning Using Real Beliefs," Working Papers 98-39, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
  3. Dufwenberg, M. & Kirchsteiger, G., 1998. "A theory of sequential reciprocity," Discussion Paper 37, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  4. Gary Charness & Matthew Rabin, 2000. "Social Preferences: Some Simple Tests and a New Model," Econometric Society World Congress 2000 Contributed Papers 1483, Econometric Society. [Downloadable!]
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  5. Young H. P., 1993. "An Evolutionary Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 59(1), pages 145-168, February. [Downloadable!] (restricted)
  6. Gary E. Bolton & Axel Ockenfels, 1998. "Strategy and Equity: An ERC Analysis of the Guth-van Damme Game," Levine's Working Paper Archive 2060, David K. Levine. [Downloadable!]
  7. Thaler, Richard H, 1988. "The Ultimatum Game," Journal of Economic Perspectives, American Economic Association, vol. 2(4), pages 195-206, Fall. [Downloadable!] (restricted)
  8. Gary E. Bolton & Axel Ockenfels, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March. [Downloadable!] (restricted)
  9. van Damme, Eric, 1998. "On the State of the Art in Game Theory: An Interview with Robert Aumann," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 181-210, July. [Downloadable!] (restricted)
  10. Roth, Alvin E. & Vesna Prasnikar & Masahiro Okuno-Fujiwara & Shmuel Zamir, 1991. "Bargaining and Market Behavior in Jerusalem, Ljubljana, Pittsburgh, and Tokyo: An Experimental Study," American Economic Review, American Economic Association, vol. 81(5), pages 1068-95, December. [Downloadable!] (restricted)
  11. Brandts, J. & Charness, G., 1998. "Hot Vs. Cold: Sequential Responses and Preference Stability in Experimental Games," UFAE and IAE Working Papers 424.98, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
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  12. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory Of Fairness, Competition, And Cooperation," The Quarterly Journal of Economics, MIT Press, vol. 114(3), pages 817-868, August. [Downloadable!] (restricted)
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  13. Camerer, Colin F & Thaler, Richard H, 1995. "Ultimatums, Dictators and Manners," Journal of Economic Perspectives, American Economic Association, vol. 9(2), pages 209-19, Spring. [Downloadable!] (restricted)
  14. Bolton, Gary E, 1991. "A Comparative Model of Bargaining: Theory and Evidence," American Economic Review, American Economic Association, vol. 81(5), pages 1096-136, December. [Downloadable!] (restricted)
  15. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January. [Downloadable!] (restricted)
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