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Hierarchical Reasoning versus Iterated Reasoning in p-Beauty Contest Guessing Games

  • Breitmoser, Yves

This paper analyzes strategic choice in p-beauty contests. We first show that it is not generally a best reply to guess the expected target value (accounting for the own weight) even in games with n>2 players and that iterated best response sequences are not unique even after perfect/cautious refinement. This implies that standard formulations of ``level-k'' models are neither exactly nor uniquely rationalizable by belief systems based on iterated best response. Second, exact modeling of iterated reasoning weakens the fit considerably and reveals that equilibrium types dominate the populations. We also show that ``levels of reasoning'' cannot be measured regardless of the underlying model. Third, we consider a ``nested logit'' model where players choose their level. It dispenses with belief systems between players and is rationalized by a random utility model. Besides being internally consistent, nested logit equilibrium fits better than three variants of the level-k model in standard data sets.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 19893.

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Date of creation: 10 Jan 2010
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Handle: RePEc:pra:mprapa:19893
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  1. Arcidiacono, Peter & Jones, John B., 2000. "Finite Mixture Distribution, Sequential Likelihood, and the EM Algorithm," Working Papers 00-16, Duke University, Department of Economics.
  2. D. B. Bernheim, 2010. "Rationalizable Strategic Behavior," Levine's Working Paper Archive 514, David K. Levine.
  3. Weizsacker, Georg, 2003. "Ignoring the rationality of others: evidence from experimental normal-form games," Games and Economic Behavior, Elsevier, vol. 44(1), pages 145-171, July.
  4. Anderson, Simon P. & Goeree, Jacob K. & Holt, Charles A., 1998. "A theoretical analysis of altruism and decision error in public goods games," Journal of Public Economics, Elsevier, vol. 70(2), pages 297-323, November.
  5. Philip A. Haile & Ali Hortacsu & Grigory Kosenok, 2003. "On the Empirical Content of Quantal Response Equilibrium," Cowles Foundation Discussion Papers 1432, Cowles Foundation for Research in Economics, Yale University.
  6. W. Shaw & Michael Ozog, 1999. "Modeling Overnight Recreation Trip Choice: Application of a Repeated Nested Multinomial Logit Model," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 13(4), pages 397-414, June.
  7. Anderson, Simon P & de Palma, Andre, 1992. "Multiproduct Firms: A Nested Logit Approach," Journal of Industrial Economics, Wiley Blackwell, vol. 40(3), pages 261-76, September.
  8. Yves Breitmoser & Jonathan H.W. Tan & Daniel John Zizzo, 2008. "Understanding Perpetual R&D Races," Discussion Papers 2008-04, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  9. Rogers, Brian W. & Palfrey, Thomas R. & Camerer, Colin F., 2009. "Heterogeneous quantal response equilibrium and cognitive hierarchies," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1440-1467, July.
  10. Simon P. Anderson & Jacob K. Goeree & Charles A. Holt, 1998. "Rent Seeking with Bounded Rationality: An Analysis of the All-Pay Auction," Journal of Political Economy, University of Chicago Press, vol. 106(4), pages 828-853, August.
  11. Turocy, Theodore L., 2005. "A dynamic homotopy interpretation of the logistic quantal response equilibrium correspondence," Games and Economic Behavior, Elsevier, vol. 51(2), pages 243-263, May.
  12. 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.
  13. Stahl, Dale O., 1996. "Boundedly Rational Rule Learning in a Guessing Game," Games and Economic Behavior, Elsevier, vol. 16(2), pages 303-330, October.
  14. Miguel Costa-Gomes & Vincent P. Crawford & Bruno Broseta, . "Cognition and Behavior in Normal-Form Games:An Experimental Study," Discussion Papers 00/45, Department of Economics, University of York.
  15. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-50, July.
  16. Vincent P. Crawford & Miguel A. Costa-Gomes & Nagore Iriberri, 2010. "Strategic Thinking," Levine's Working Paper Archive 661465000000001148, David K. Levine.
  17. Enrico De Giorgi & Stefan Reimann, . "The ?-Beauty Contest: Choosing Numbers, Thinking Intervals," IEW - Working Papers 183, Institute for Empirical Research in Economics - University of Zurich.
  18. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-26, December.
  19. Stahl, Dale O. & Haruvy, Ernan, 2008. "Level-n bounded rationality in two-player two-stage games," Journal of Economic Behavior & Organization, Elsevier, vol. 65(1), pages 41-61, January.
  20. McFadden, Daniel L., 1984. "Econometric analysis of qualitative response models," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 24, pages 1395-1457 Elsevier.
  21. Kenneth Train, 2003. "Discrete Choice Methods with Simulation," Online economics textbooks, SUNY-Oswego, Department of Economics, number emetr2.
  22. Richard Mckelvey & Thomas Palfrey, 1998. "Quantal Response Equilibria for Extensive Form Games," Experimental Economics, Springer, vol. 1(1), pages 9-41, June.
  23. Lee, Bosang, 1999. "Calling Patterns and Usage of Residential Toll Service under Self-Selecting Tariffs," Journal of Regulatory Economics, Springer, vol. 16(1), pages 45-81, July.
  24. 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.
  25. Amemiya, Takeshi, 1978. "On a two-step estimation of a multivariate logit model," Journal of Econometrics, Elsevier, vol. 8(1), pages 13-21, August.
  26. Dorothea K¸bler & Georg Weizs”cker, 2004. "Limited Depth of Reasoning and Failure of Cascade Formation in the Laboratory," Review of Economic Studies, Wiley Blackwell, vol. 71(2), pages 425-441, 04.
  27. Colin F. Camerer & Thomas R. Palfrey & Brian W. Rogers, 2006. "Heterogeneous Quantal Response Equilibrium," Levine's Bibliography 321307000000000193, UCLA Department of Economics.
  28. Wen, Chieh-Hua & Koppelman, Frank S., 2001. "The generalized nested logit model," Transportation Research Part B: Methodological, Elsevier, vol. 35(7), pages 627-641, August.
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