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How do people reason in dynamic games?

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  • Chlaß, Nadine
  • Perea, Andrés

Abstract

Do individuals choose how to a solve a dynamic game or is their mode of reasoning a type-like predisposition? We show experimentally that an individual’s propensity to forwardly or backwardly induct is a function of (i) her belief whether an opponent’s previous action was a trembling hand mistake or a rational choice, and (ii) her personality. In a two-stage game, the individual observes an action of a computerized opponent (stage 1) before both interact (stage 2). The opponent chooses rationally most of the time and makes random choices with a small commonly known likelihood. Hence, the opponent’s action in stage 1 discloses with some probability the opponent’s type (choice) in stage 2. The individual can either believe that (i) the opponent chose randomly in stage 1, or that (ii) the opponent made a rational choice. An individual rationally responds to this belief if she solves stage 2 by backwards induction in the first, and by forward induction in the second case.

Suggested Citation

  • Chlaß, Nadine & Perea, Andrés, 2016. "How do people reason in dynamic games?," VfS Annual Conference 2016 (Augsburg): Demographic Change 145881, Verein für Socialpolitik / German Economic Association.
  • Handle: RePEc:zbw:vfsc16:145881
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    References listed on IDEAS

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    1. Dekel, Eddie & Fudenberg, Drew & Levine, David K., 1999. "Payoff Information and Self-Confirming Equilibrium," Journal of Economic Theory, Elsevier, vol. 89(2), pages 165-185, December.
    2. Asheim, Geir B. & Perea, Andres, 2005. "Sequential and quasi-perfect rationalizability in extensive games," Games and Economic Behavior, Elsevier, vol. 53(1), pages 15-42, October.
    3. Falk, Armin & Fischbacher, Urs, 2006. "A theory of reciprocity," Games and Economic Behavior, Elsevier, vol. 54(2), pages 293-315, February.
    4. Cho, In-Koo, 1987. "A Refinement of Sequential Equilibrium," Econometrica, Econometric Society, vol. 55(6), pages 1367-1389, November.
    5. Bruno Broseta & Enrique Fatas & Tibor Neugebauer, 2003. "Asset Markets and Equilibrium Selection in Public Goods Games with Provision Points: An Experimental Study," Economic Inquiry, Western Economic Association International, vol. 41(4), pages 574-591, October.
    6. McLennan, Andrew, 1985. "Justifiable Beliefs in Sequential Equilibrium," Econometrica, Econometric Society, vol. 53(4), pages 889-904, July.
    7. In-Koo Cho & David M. Kreps, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(2), pages 179-221.
    8. Dekel, Eddie & Fudenberg, Drew & Levine, David K., 2002. "Subjective Uncertainty over Behavior Strategies: A Correction," Journal of Economic Theory, Elsevier, vol. 104(2), pages 473-478, June.
    9. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    10. 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.
    11. Gary Charness & Dan Levin, 2009. "The Origin of the Winner's Curse: A Laboratory Study," American Economic Journal: Microeconomics, American Economic Association, vol. 1(1), pages 207-236, February.
    12. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    13. George A. Akerlof, 1970. "The Market for "Lemons": Quality Uncertainty and the Market Mechanism," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 84(3), pages 488-500.
    14. Van Huyck John B. & Battalio Raymond C. & Beil Richard O., 1993. "Asset Markets as an Equilibrium Selection Mechanism: Coordination Failure, Game Form Auctions, and Tacit Communication," Games and Economic Behavior, Elsevier, vol. 5(3), pages 485-504, July.
    15. Quazi Shahriar, 2013. "Forward Induction and Other-regarding Preferences Arising from an Outside Option: An Experimental Investigation," Journal of Management and Strategy, Journal of Management and Strategy, Sciedu Press, vol. 4(4), pages 52-57, November.
    16. Battigalli, Pierpaolo, 1997. "On Rationalizability in Extensive Games," Journal of Economic Theory, Elsevier, vol. 74(1), pages 40-61, May.
    17. Cooper, Russell & Douglas V. DeJong & Robert Forsythe & Thomas W. Ross, 1993. "Forward Induction in the Battle-of-the-Sexes Games," American Economic Review, American Economic Association, vol. 83(5), pages 1303-1316, December.
    18. Evdokimov, Piotr & Rustichini, Aldo, 2016. "Forward induction: Thinking and behavior," Journal of Economic Behavior & Organization, Elsevier, vol. 128(C), pages 195-208.
    19. Blume, Andreas & Gneezy, Uri, 2010. "Cognitive forward induction and coordination without common knowledge: An experimental study," Games and Economic Behavior, Elsevier, vol. 68(2), pages 488-511, March.
    20. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
    21. Brit Grosskopf & Yoella Bereby-Meyer & Max Bazerman, 2007. "On the Robustness of the Winner’s Curse Phenomenon," Theory and Decision, Springer, vol. 63(4), pages 389-418, December.
    22. Battigalli, Pierpaolo & Siniscalchi, Marciano, 2002. "Strong Belief and Forward Induction Reasoning," Journal of Economic Theory, Elsevier, vol. 106(2), pages 356-391, October.
    23. Reny, Philip J, 1992. "Backward Induction, Normal Form Perfection and Explicable Equilibria," Econometrica, Econometric Society, vol. 60(3), pages 627-649, May.
    24. Dieter Balkenborg & Rosemarie Nagel, 2008. "An Experiment on Forward versus Backward Induction: How Fairness and Levels of Reasoning Matter," Discussion Papers 0804, University of Exeter, Department of Economics.
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    More about this item

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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