Three steps ahead
Experimental evidence suggest that people only use 1-3 iterations of strategic reasoning, and that some people systematically use less iterations than others. In this paper, we present a novel evolutionary foundation for these stylized facts. In our model, agents interact in finitely repeated Prisoner's Dilemma, and each agent is characterized by the number of steps he thinks ahead. When two agents interact, each of them has an independent probability to observe the opponent's type. We show that if this probability is not too close to 0 or 1, then the evolutionary process admits a unique stable outcome, in which the population includes a mixture of “naive” agents who think 1 step ahead, and “sophisticated” agents who think 2-3 steps ahead.
|Date of creation:||13 Jun 2012|
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- Stahl, Dale II & Wilson, Paul W., 1994. "Experimental evidence on players' models of other players," Journal of Economic Behavior & Organization, Elsevier, vol. 25(3), pages 309-327, December.
- 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 947-69, September.
- Ho, Teck Hua & Weigelt, Keith & Camerer, Colin, 1996. "Iterated Dominance and Iterated Best-Response in Experimental P-Beauty Contests," Working Papers 974, California Institute of Technology, Division of the Humanities and Social Sciences.
- T. Randolph Beard & Richard O. Beil, 1994. "Do People Rely on the Self-Interested Maximization of Others? An Experimental Test," Management Science, INFORMS, vol. 40(2), pages 252-262, February.
- R. McKelvey & T. Palfrey, 2010. "Quantal Response Equilibria for Normal Form Games," Levine's Working Paper Archive 510, David K. Levine.
- Philippe Jeniel, 2001.
"Analogy-Based Expectation Equilibrium,"
Economics Working Papers
0003, Institute for Advanced Study, School of Social Science.
- Rosenthal, Robert W., 1981. "Games of perfect information, predatory pricing and the chain-store paradox," Journal of Economic Theory, Elsevier, vol. 25(1), pages 92-100, August.
- Vincent P. Crawford, 2003.
"Lying for Strategic Advantage: Rational and Boundedly Rational Misrepresentation of Intentions,"
American Economic Review,
American Economic Association, vol. 93(1), pages 133-149, March.
- Crawford, Vincent P., 2001. "Lying for Strategic Advantage: Rational and Boundedly Rational Misrepresentation of Intentions," University of California at San Diego, Economics Working Paper Series qt6k65014s, Department of Economics, UC San Diego.
- Heifetz, Aviad & Pauzner, Ady, 2005. "Backward induction with players who doubt others' faultlessness," Mathematical Social Sciences, Elsevier, vol. 50(3), pages 252-267, November.
- Russell Cooper & Douglas V. DeJong & Thomas W. Ross, 1992.
"Cooperation without Reputation: Experimental Evidence from Prisoner's Dilemma Games,"
0036, Boston University - Industry Studies Programme.
- Cooper, Russell & DeJong, Douglas V. & Forsythe, Robert & Ross, Thomas W., 1996. "Cooperation without Reputation: Experimental Evidence from Prisoner's Dilemma Games," Games and Economic Behavior, Elsevier, vol. 12(2), pages 187-218, February.
- Cooper, R. & DeJong, D.W. & Ross, T.W., 1992. "Cooperation without Reputation: Experimental Evidence from Prisoner's Dilemma Games," Papers 36, Boston University - Industry Studies Programme.
- Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, MIT Press, vol. 119(3), pages 861-898, August.
- Andreoni, J. & Miller, J.H., 1991.
"Rational Cooperative in the Finitely Repeated Prisoner's Dilemma: Experimental Evidence,"
9102, Wisconsin Madison - Social Systems.
- Andreoni, James A & Miller, John H, 1993. "Rational Cooperation in the Finitely Repeated Prisoner's Dilemma: Experimental Evidence," Economic Journal, Royal Economic Society, vol. 103(418), pages 570-85, May.
- James Andreoni & John H Miller, 1997. "Rational Cooperation in the finitely repeated prisoner's dilemma: experimental evidence," Levine's Working Paper Archive 670, David K. Levine.
- Lisa Bruttel & Werner Güth & Ulrich Kamecke, 2012. "Finitely repeated prisoners’ dilemma experiments without a commonly known end," International Journal of Game Theory, Springer, vol. 41(1), pages 23-47, February.
- Vincent P. Crawford & Miguel A. Costa-Gomes & Nagore Iriberri, 2010. "Strategic Thinking," Levine's Working Paper Archive 661465000000001148, David K. Levine.
- Antoni Bosch-Dom�nech & Jos� G. Montalvo & Rosemarie Nagel & Albert Satorra, 2002.
"One, Two, (Three), Infinity, ...: Newspaper and Lab Beauty-Contest Experiments,"
American Economic Review,
American Economic Association, vol. 92(5), pages 1687-1701, December.
- Rosemarie Nagel & Antoni Bosch-Domènech & Albert Satorra & José García Montalvo, 1999. "One, two, (three), infinity: Newspaper and lab beauty-contest experiments," Economics Working Papers 438, Department of Economics and Business, Universitat Pompeu Fabra.
- Albert Satorra & Antoni Bosch-Domenech & Jose Garcia-Montalvo & Rosemarie Nagel, 2002. "One, two, (three), infinity: Newspaper and lab beauty-contest experiments," Artefactual Field Experiments 00011, The Field Experiments Website.
- Robson, Arthur J., 2003. "The evolution of rationality and the Red Queen," Journal of Economic Theory, Elsevier, vol. 111(1), pages 1-22, July.
- Gill, David & Prowse, Victoria, 2012. "Cognitive ability and learning to play equilibrium: A level-k analysis," MPRA Paper 38317, University Library of Munich, Germany, revised 23 Apr 2012.
- Mohlin, Erik, 2012.
"Evolution of theories of mind,"
Games and Economic Behavior,
Elsevier, vol. 75(1), pages 299-318.
- Mohlin, Erik, 2010. "Evolution of Theories of Mind," SSE/EFI Working Paper Series in Economics and Finance 0728, Stockholm School of Economics, revised 12 May 2010.
- Johan Stennek, 2000. "The survival value of assuming others to be rational," International Journal of Game Theory, Springer, vol. 29(2), pages 147-163.
- Johnson, Eric J. & Camerer, Colin & Sen, Sankar & Rymon, Talia, 2002. "Detecting Failures of Backward Induction: Monitoring Information Search in Sequential Bargaining," Journal of Economic Theory, Elsevier, vol. 104(1), pages 16-47, May.
- 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.
- Hyndman, Kyle & Terracol, Antoine & Vaksmann, Jonathan, 2013. "Beliefs and (In)Stability in Normal-Form Games," MPRA Paper 47221, University Library of Munich, Germany.
- Frenkel, Sivan & Heller, Yuval & Teper, Roee, 2012. "Endowment as a blessing," MPRA Paper 39430, University Library of Munich, Germany, revised 30 Apr 2012.
- Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-26, December.
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