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Sophisticated EWA Learning and Strategic Teaching in Repeated Games

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Author Info
Camerer, Colin F.
Ho, Teck H.
Chong, Juin-Kuan.

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Abstract

Most learning models assume players are adaptive (i.e., they respond only to their own previous experience and ignore others' payoff information) and that behavior is not sensitive to the way in which players are matched. Empirical evidence suggests otherwise. In this paper, we extend our adaptive experience-weighted attraction (EWA) learning model to capture sophisticated learning and strategic teaching in repeated games. The generalized model assumes that there is a mixture of adaptive learners and sophisticated players. Like before, an adaptive learner adjusts his behavior the EWA way. A sophisticated player however does not learn and rationally best-responds to her forecasts of all other behaviors. A sophisticated player can be either myopic or foresighted. A foresighted player develops multiple-period rather than single-period forecasts of others' behaviors and chooses to 'teach' the other players by choosing a strategy scenario that gives her the highest discounted net present value. Consequently a foresighted player can develop a reputation for herself by strategic teaching if she is matched with an adaptive player repeatedly. We estimate the model using data fromp-beauty contests and repeated entry-deterrence (chain-store) games. Overall, the results show that the generalized model is better than the adaptive EWA model in describing and predicting behavior. Including teaching also allows an empirical learning-based approach to reputation formation which is at least as plausible as the now-standard type-based approach, and is superior in predictive performance in four di®erent ways.

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Paper provided by California Institute of Technology, Division of the Humanities and Social Sciences in its series Working Papers with number 1087.

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Date of creation: Apr 2000
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Handle: RePEc:clt:sswopa:1087

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  1. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May. [Downloadable!] (restricted)
  2. Charles A. Holt & Jacob K. Goeree, 1999. "Stochastic Game Theory: For Playing Games, Not Just for Doing Theory," Virginia Economics Online Papers 306, University of Virginia, Department of Economics. [Downloadable!]
  3. John Duffy & Nick Feltovich, 1997. "Does Observation of Others Affect Learning in Strategic Environments? An Experimental Study," Levine's Working Paper Archive 592, David K. Levine. [Downloadable!]
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  4. Stahl Dale O. & Wilson Paul W., 1995. "On Players' Models of Other Players: Theory and Experimental Evidence," Games and Economic Behavior, Elsevier, vol. 10(1), pages 218-254, July. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. Yun Joo Jung & John H. Kagel & Dan Levin, 1994. "On the Existence of Predatory Pricing: An Experimental Study of Reputation and Entry Deterrence in the Chain-Store Game," RAND Journal of Economics, The RAND Corporation, vol. 25(1), pages 72-93, Spring. [Downloadable!] (restricted)
  7. Ed Hopkins, 2001. "Two Competing Models of How People Learn in Games," NajEcon Working Paper Reviews 625018000000000226, www.najecon.org. [Downloadable!]
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  8. Selten, Reinhard, 1991. "Evolution, learning, and economic behavior," Games and Economic Behavior, Elsevier, vol. 3(1), pages 3-24, February. [Downloadable!] (restricted)
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(explanations, 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. Martin G. Kocher & Matthias Sutter, 2004. "The Decision Maker Matters: Individual versus Group Behaviour in Experimental Beauty-Contest Games," Papers on Strategic Interaction 2004-09, Max Planck Institute of Economics, Strategic Interaction Group. [Downloadable!]
    Other versions:
  2. Brock, W.A. & Dindo, P.D.E. & Hommes, C.H., 2005. "Adaptive Rational Equilibrium with Forward Looking Agents, fortcoming in International Journal of Economic Theory (IJET) 2006, special issue in honor of Jean-Michel Grandmont," CeNDEF Working Papers 05-15, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance. [Downloadable!]
  3. Colin Camerer & Teck-Hua Ho & Juin Kuan Chong, 2003. "A cognitive hierarchy theory of one-shot games: Some preliminary results," Levine's Bibliography 506439000000000495, UCLA Department of Economics. [Downloadable!]
  4. Vincent P. Crawford, 2001. "Lying for Strategic Advantage: Rational and Boundedly Rational Misrepresentation of Intentions," University of California at San Diego, Economics Working Paper Series 2001-16, Department of Economics, UC San Diego. [Downloadable!]
    Other versions:
  5. 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. [Downloadable!]
    Other versions:
  6. Colin Camerer & Teck H Ho & Juin-Kuan Chong & Keith Weigelt, 2003. "Strategic teaching and equilibrium models of repeated trust and entry games," Levine's Bibliography 506439000000000506, UCLA Department of Economics. [Downloadable!]
  7. Teck H Ho & Colin Camerer & Juin-Kuan Chong, 2003. "Functional EWA: A one-parameter theory of learning in games," Levine's Bibliography 506439000000000514, UCLA Department of Economics. [Downloadable!]
  8. Robert Slonim, 2005. "Competing Against Experienced and Inexperienced Players," Experimental Economics, Springer, vol. 8(1), pages 55-75, April. [Downloadable!] (restricted)
  9. Wolf Ze'ev Ehrblatt & Kyle Hyndman & Erkut Y. ÄOzbay & Andrew Schotter, 2006. "Convergence: An Experimental Study," Levine's Working Paper Archive 122247000000001148, David K. Levine. [Downloadable!]
  10. Juin-Kuan Chong & Colin F. Camerer & Teck H. Ho, 2005. "A learning-based model of repeated games with incomplete information," Levine's Bibliography 666156000000000537, UCLA Department of Economics. [Downloadable!]
    Other versions:
  11. Giovanna Devetag, 2000. "Coordination in "Critical Mass" Games: An Experimental Study," LEM Papers Series 2000/03, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy. [Downloadable!]
  12. Yoav Shoham & Rob Powers & Trond Grenager, 2006. "If multi-agent learning is the answer, what is the question?," Levine's Working Paper Archive 122247000000001156, David K. Levine. [Downloadable!]
  13. Teck H. Ho & Noah Lim & Colin Camerer, 2005. "Modeling the Psychology of Consumer and Firm Behavior with Behavioral Economics," Levine's Bibliography 784828000000000476, UCLA Department of Economics. [Downloadable!]
  14. repec:att:wimass:1919982 is not listed on IDEAS
  15. Guillaume R. Fréchette, 2006. "Session Effects in the Laboratory," CIRANO Working Papers 2006s-21, CIRANO. [Downloadable!]
  16. Colin F. Camerer & Thomas R. Palfrey & Brian W. Rogers, 2006. "Heterogeneous Quantal Response Equilibrium," Levine's Bibliography 321307000000000193, UCLA Department of Economics. [Downloadable!]
  17. Camerer, Colin & Hsia, David & Ho, Tech-Hua., 2000. "EWA Learning in Bilateral Call Markets," Working Papers 1098, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  18. Rami Zwick & Amnon Rapoport & Alison King Chung Lo, 2001. "Behavioral Strategies in Repeated Pure Coordination Games," Experimental 0110004, EconWPA. [Downloadable!]
  19. Maria Giovanna Devetag, 2002. "Coordination and information in critical mass games: an experimental study," CEEL Working Papers 0214, Computable and Experimental Economics Laboratory, Department of Economics, University of Trento, Italia. [Downloadable!]
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