Learning by (limited) forward looking players
AbstractWe present a model of adaptive economic agents that are k periods forward looking. Agents in our model are randomly matched to interact in finitely repeated games. They form beliefs by relying on their past experience in the same situation (after the same recent history) and then best respond to these beliefs looking k periods ahead. We establish almost sure convergence of our stochastic process and characterize absorbing sets. These can be very different from the predictions in both the fully rational model and the adaptive, but myopic case. In particular we find that also Non-Nash outcomes can be sustained almost all the time whenever they are individually rational and satisfy an efficiency condition. We then characterize stochastically stable states in 2×2 games and show that under certain conditions the efficient action in Prisoner''s Dilemma games and Coordination games can be singled out as uniquely stochastically stable. We show that our results are consistent with typical patterns observed in experiments on finitely repeated Prisoner''s Dilemma games. Finally, if populations are composed of some myopic and some forward looking agents parameter constellations exists such that either might obtain higher average payoffs.
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Bibliographic InfoPaper provided by Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR) in its series Research Memorandum with number 053.
Date of creation: 2008
Date of revision:
Economics (Jel: A);
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- Myerson, Roger B. & Pollock, Gregory B. & Swinkels, Jeroen M., 1991.
"Viscous population equilibria,"
Games and Economic Behavior,
Elsevier, vol. 3(1), pages 101-109, February.
- Stahl, D., 1991.
"Evolution of Smart-n Players,"
1991-66, Tilburg University, Center for Economic Research.
- Mengel, Friederike, 2008. "Matching structure and the cultural transmission of social norms," Journal of Economic Behavior & Organization, Elsevier, vol. 67(3-4), pages 608-623, September.
- Jehiel, Philippe, 2001. "Limited Foresight May Force Cooperation," Review of Economic Studies, Wiley Blackwell, vol. 68(2), pages 369-91, April.
- Basu, K. & Weibull, J., 1990.
"Strategy Subsets Closed Under Rational Behavior,"
62, Princeton, Woodrow Wilson School - Discussion Paper.
- repec:hal:cesptp:halshs-00145436 is not listed on IDEAS
- Antoine Terracol & Jonathan Vaksmann, 2007.
"Dumbing down rational players : Learning and teaching in an experimental game,"
Documents de travail du Centre d'Economie de la Sorbonne
bla07017, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- Terracol, Antoine & Vaksmann, Jonathan, 2009. "Dumbing down rational players: Learning and teaching in an experimental game," Journal of Economic Behavior & Organization, Elsevier, vol. 70(1-2), pages 54-71, May.
- 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.
- Drew Fudenberg & David K. Levine, 1995.
"Reputation and Equilibrium Selection in Games with a Patient Player,"
Levine's Working Paper Archive
103, David K. Levine.
- Fudenberg, Drew & Levine, David K, 1989. "Reputation and Equilibrium Selection in Games with a Patient Player," Econometrica, Econometric Society, vol. 57(4), pages 759-78, July.
- Drew Fudenberg & David Levine, 1987. "Reputation and Equilibrium Selection in Games With a Patient Player," Working papers 461, Massachusetts Institute of Technology (MIT), Department of Economics.
- D. Fudenberg & David K. Levine, 1989. "Reputation and Equilibrium Selection in Games with a Patient Player," Levine's Working Paper Archive 508, David K. Levine.
- Jeheil Phillippe, 1995. "Limited Horizon Forecast in Repeated Alternate Games," Journal of Economic Theory, Elsevier, vol. 67(2), pages 497-519, December.
- Andreoni, James A & Miller, John H, 1993.
"Rational Cooperation in the Finitely Repeated Prisoner's Dilemma: Experimental Evidence,"
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.
- Drew Fudenberg & David K. Levine, 1996.
"The Theory of Learning in Games,"
Levine's Working Paper Archive
624, David K. Levine.
- Camerer, Colin F. & Ho, Teck-Hua & Chong, Juin-Kuan, 2002. "Sophisticated Experience-Weighted Attraction Learning and Strategic Teaching in Repeated Games," Journal of Economic Theory, Elsevier, vol. 104(1), pages 137-188, May.
- M. Kandori & G. Mailath & R. Rob, 1999.
"Learning, Mutation and Long Run Equilibria in Games,"
Levine's Working Paper Archive
500, David K. Levine.
- Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
- Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- Kyle Hyndman & Erkut Y. Ozbay & Andrew Schotter & Wolf Ze’ev Ehrblatt, 2012. "Convergence: An Experimental Study Of Teaching And Learning In Repeated Games," Journal of the European Economic Association, European Economic Association, vol. 10(3), pages 573-604, 05.
- Jehiel, Philippe, 1998. "Learning to Play Limited Forecast Equilibria," Games and Economic Behavior, Elsevier, vol. 22(2), pages 274-298, February.
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