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Level-k analysis of experimental centipede games

  • Kawagoe, Toshiji
  • Takizawa, Hirokazu
Registered author(s):

    As one of the best-known examples of the paradox of backward induction, centipede games have prompted a host of studies with various approaches and explanations (McKelvey and Palfrey, 1992; Fey et al., 1996; Nagel and Tang, 1998; Rapoport et al., 2003; Palacios-Huerta and Volij, 2009). Focusing on initial plays observed in experiments, this paper attempts to offer another explanation based on thorough study of level-k models as applied to these games. Borrowing ideas from the cognitive hierarchy model (Camerer et al., 2004), the authors constructed a group of models based on levels of rationality, and also tested for various assumptions on the play of the most naïve player type in these models. It was found that level-k models generally perform better than the agent quantal response equilibrium (AQRE) model and its variant with altruistic player types for increasing-pie centipede games, while the AQRE model with altruistic player types performs better in constant-pie games.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0167268112000637
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    Article provided by Elsevier in its journal Journal of Economic Behavior & Organization.

    Volume (Year): 82 (2012)
    Issue (Month): 2 ()
    Pages: 548-566

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    Handle: RePEc:eee:jeborg:v:82:y:2012:i:2:p:548-566
    Contact details of provider: Web page: http://www.elsevier.com/locate/jebo

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    1. Miguel A. Costa-Gomes & Vincent P. Crawford, 2006. "Cognition and Behavior in Two-Person Guessing Games: An Experimental Study," Levine's Bibliography 321307000000000336, UCLA Department of Economics.
    2. Broseta, Bruno & Costa-Gomes, Miguel & Crawford, Vincent P., 2000. "Cognition and Behavior in Normal-Form Games: An Experimental Study," University of California at San Diego, Economics Working Paper Series qt0fp8278k, Department of Economics, UC San Diego.
    3. Dale O. Stahl & Paul W. Wilson, 2010. "On Players' Models of Other Players: Theory and Experimental Evidence," Levine's Working Paper Archive 542, David K. Levine.
    4. Philip A. Haile & Ali Hortacsu & Grigory Kosenok, 0820. "On the Empirical Content of Quantal Response Equilibrium," Cowles Foundation Discussion Papers 1432R, Cowles Foundation for Research in Economics, Yale University, revised Jun 0820.
    5. Ignacio Palacios-Huerta & Oscar Volij, . "Field Centipedes," Economic theory and game theory 020, Oscar Volij.
    6. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-26, December.
    7. Rapoport, Amnon & Stein, William E. & Parco, James E. & Nicholas, Thomas E., 2003. "Equilibrium play and adaptive learning in a three-person centipede game," Games and Economic Behavior, Elsevier, vol. 43(2), pages 239-265, May.
    8. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 817-868.
    9. Gerber, Anke & Wichardt, Philipp C., 2010. "Iterated reasoning and welfare-enhancing instruments in the centipede game," Journal of Economic Behavior & Organization, Elsevier, vol. 74(1-2), pages 123-136, May.
    10. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
    11. Margin Dufwenberg & Georg Kirchsteiger, 2001. "A Theory of Sequential Reciprocity," Levine's Working Paper Archive 563824000000000090, David K. Levine.
    12. Tore Ellingsen & Robert �stling, 2010. "When Does Communication Improve Coordination?," American Economic Review, American Economic Association, vol. 100(4), pages 1695-1724, September.
    13. Steven D. Levitt & John A. List & Sally E. Sadoff, 2009. "Checkmate: Exploring Backward Induction Among Chess Players," NBER Working Papers 15610, National Bureau of Economic Research, Inc.
    14. 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.
    15. McKelvey, Richard D & Palfrey, Thomas R, 1992. "An Experimental Study of the Centipede Game," Econometrica, Econometric Society, vol. 60(4), pages 803-36, July.
    16. Colin Camerer & Teck-Hua Ho, 1999. "Experience-weighted Attraction Learning in Normal Form Games," Econometrica, Econometric Society, vol. 67(4), pages 827-874, July.
    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. Fey, Mark & McKelvey, Richard D & Palfrey, Thomas R, 1996. "An Experimental Study of Constant-Sum Centipede Games," International Journal of Game Theory, Springer, vol. 25(3), pages 269-87.
    19. Kawagoe, Toshiji & Takizawa, Hirokazu, 2009. "Equilibrium refinement vs. level-k analysis: An experimental study of cheap-talk games with private information," Games and Economic Behavior, Elsevier, vol. 66(1), pages 238-255, May.
    20. 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.
    21. Zauner, Klaus G., 1999. "A Payoff Uncertainty Explanation of Results in Experimental Centipede Games," Games and Economic Behavior, Elsevier, vol. 26(1), pages 157-185, January.
    22. 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 848-81, September.
    23. Richard Mckelvey & Thomas Palfrey, 1998. "Quantal Response Equilibria for Extensive Form Games," Experimental Economics, Springer, vol. 1(1), pages 9-41, June.
    24. 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.
    25. TeckH. Ho & Xin Wang & ColinF. Camerer, 2008. "Individual Differences in EWA Learning with Partial Payoff Information," Economic Journal, Royal Economic Society, vol. 118(525), pages 37-59, 01.
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