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Reinforcement and Directional Learning in the Ultimatum Game with Responder Competition

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  • Brit Grosskopf

Abstract

Demands in the Ultimatum Game in its traditional form with one proposer and one responder are compared with demands in an Ultimatum Game with responder competition. In this modified form one proposer faces three responders who can accept or reject the split of the pie. Initial demands in both ultimatum games are quite similar, however in the course of the experiment, demands in the ultimatum game with responder competition are significantly higher than in the traditional case with repeated random matching. Individual round-to-round changes of choices that are consistent with directional learning are the driving forces behind the differences between the two learning curves and cannot be tracked by an adjustment process in response to accumulated reinforcements. The importance of combining reinforcement and directional learning is addressed. Moreover, learning transfer between the two ultimatum games is analyzed. Copyright Kluwer Academic Publishers 2003

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  • Brit Grosskopf, 2003. "Reinforcement and Directional Learning in the Ultimatum Game with Responder Competition," Experimental Economics, Springer;Economic Science Association, vol. 6(2), pages 141-158, October.
    • Handle: RePEc:kap:expeco:v:6:y:2003:i:2:p:141-158
    DOI: 10.1023/A:1025305020751
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    1. A. Roth & I. Er’ev, 2010. "Learning in Extensive Form Games: Experimental Data and Simple Dynamic Models in the Intermediate Run," Levine's Working Paper Archive 387, David K. Levine.
    2. Crawford, Vincent P, 1995. "Adaptive Dynamics in Coordination Games," Econometrica, Econometric Society, vol. 63(1), pages 103-143, January.
    3. Mookherjee, Dilip & Sopher, Barry, 1997. "Learning and Decision Costs in Experimental Constant Sum Games," Games and Economic Behavior, Elsevier, vol. 19(1), pages 97-132, April.
    4. Ho, Teck-Hua & Camerer, Colin & Weigelt, Keith, 1998. "Iterated Dominance and Iterated Best Response in Experimental "p-Beauty Contests."," American Economic Review, American Economic Association, vol. 88(4), pages 947-969, September.
    5. Rosemarie Nagel & Nicolaas J. Vriend, 1999. "An experimental study of adaptive behavior in an oligopolistic market game," Journal of Evolutionary Economics, Springer, vol. 9(1), pages 27-65.
    6. John H. Kagel & Dan Levin, 1999. "Common Value Auctions with Insider Information," Econometrica, Econometric Society, vol. 67(5), pages 1219-1238, September.
    7. Bolton Gary E. & Zwick Rami, 1995. "Anonymity versus Punishment in Ultimatum Bargaining," Games and Economic Behavior, Elsevier, vol. 10(1), pages 95-121, July.
    8. Gale, John & Binmore, Kenneth G. & Samuelson, Larry, 1995. "Learning to be imperfect: The ultimatum game," Games and Economic Behavior, Elsevier, vol. 8(1), pages 56-90.
    9. Binmore, K. & Samuelson, L. & Gale, J., 1993. "Learning to be Imperfect: The Ultimatum Game," Working papers 9325, Wisconsin Madison - Social Systems.
    10. Erev, Ido & Roth, Alvin E, 1998. "Predicting How People Play Games: Reinforcement Learning in Experimental Games with Unique, Mixed Strategy Equilibria," American Economic Review, American Economic Association, vol. 88(4), pages 848-881, September.
    11. Abbink, Klaus & Bolton, Gary E. & Sadrieh, Abdolkarim & Tang, Fang-Fang, 2001. "Adaptive Learning versus Punishment in Ultimatum Bargaining," Games and Economic Behavior, Elsevier, vol. 37(1), pages 1-25, October.
    12. Robert Slonim & Alvin E. Roth, 1998. "Learning in High Stakes Ultimatum Games: An Experiment in the Slovak Republic," Econometrica, Econometric Society, vol. 66(3), pages 569-596, May.
    13. Messick, David M. & Moore, Don A. & Bazerman, Max H., 1997. "Ultimatum Bargaining with a Group: Underestimating the Importance of the Decision Rule," Organizational Behavior and Human Decision Processes, Elsevier, vol. 69(2), pages 87-101, February.
    14. Mitzkewitz, Michael & Nagel, Rosemarie, 1993. "Experimental Results on Ultimatum Games with Incomplete Information," International Journal of Game Theory, Springer;Game Theory Society, vol. 22(2), pages 171-198.
    15. Duffy, John & Nagel, Rosemarie, 1997. "On the Robustness of Behaviour in Experimental "Beauty Contest" Games," Economic Journal, Royal Economic Society, vol. 107(445), pages 1684-1700, November.
    16. Selten, Reinhard & Stoecker, Rolf, 1986. "End behavior in sequences of finite Prisoner's Dilemma supergames A learning theory approach," Journal of Economic Behavior & Organization, Elsevier, vol. 7(1), pages 47-70, March.
    17. Roth, Alvin E. & Erev, Ido, 1995. "Learning in extensive-form games: Experimental data and simple dynamic models in the intermediate term," Games and Economic Behavior, Elsevier, vol. 8(1), pages 164-212.
    18. Axel Ockenfels & Gary E. Bolton, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March.
    19. Timothy N. Cason & Daniel Friedman, 1997. "Price Formation in Single Call Markets," Econometrica, Econometric Society, vol. 65(2), pages 311-346, March.
    20. Guth, Werner & Schmittberger, Rolf & Schwarze, Bernd, 1982. "An experimental analysis of ultimatum bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 367-388, December.
    21. Robert Slonim & Alvin E Roth, 2010. "Learning in High stakes utlimatum and market games. An experiment in the Slovak Republic," Levine's Working Paper Archive 1718, David K. Levine.
    22. Güth, W. & Marchand, N. & Rulliere, J.-L., 1997. "On the reliability of reprocal fairness -An experimental study-," SFB 373 Discussion Papers 1997,80, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    23. Huck, Steffen & Normann, Hans-Theo & Oechssler, Jorg, 1999. "Learning in Cournot Oligopoly--An Experiment," Economic Journal, Royal Economic Society, vol. 109(454), pages 80-95, March.
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