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Playing the wrong game: An experimental analysis of relational complexity and strategic misrepresentation

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Author Info
Giovanna Devetag ()
Massimo Warglien ()

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Abstract

It has been suggested that players often produce simplified and/or misspecified mental representations of interactive decision problems (Kreps, 1990). We submit that the relational structure of players’ preferences in a game induces cognitive complexity, and may be an important driver of such simplifications. We provide a formal classification of order structures in two-person normal form games based on the two properties of monotonicity and projectivity, and present experiments in which subjects must first construct a representation of games of different relational complexity, and subsequently play the games according to their own representation. Experimental results support the hypothesis that relational complexity matters. More complex games are harder to represent, and this difficulty is correlated with measures of short term memory capacity. Furthermore, most erroneous representations are less complex than the correct ones. In addition, subjects who misrepresent the games behave consistently with such representations according to simple but rational decision criteria. This suggests that in many strategic settings individuals may act optimally on the ground of simplified and mistaken premises.

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Paper provided by Computable and Experimental Economics Laboratory, Department of Economics, University of Trento, Italia in its series CEEL Working Papers with number 0504.

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Date of creation: 2005
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Handle: RePEc:trn:utwpce:0504

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Related research
Keywords: pure motive; mixed motive; preferences; bi-orders; language; cognition; projectivity; monotonicity; short term memory; experiments;

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Find related papers by JEL classification:
C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles

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References listed on IDEAS
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. Rubinstein, Ariel, 1996. "Why Are Certain Properties of Binary Relations Relatively More Common in Natural Language?," Econometrica, Econometric Society, vol. 64(2), pages 343-55, March. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. Jacob K. Goeree & Charles A. Holt, 2001. "Ten Little Treasures of Game Theory and Ten Intuitive Contradictions," American Economic Review, American Economic Association, vol. 91(5), pages 1402-1422, December. [Downloadable!] (restricted)
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  4. Costa-Gomes, Miguel & Crawford, Vincent P & Broseta, Bruno, 2001. "Cognition and Behavior in Normal-Form Games: An Experimental Study," Econometrica, Econometric Society, vol. 69(5), pages 1193-1235, September.
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  5. A. Rubinstein, 1999. "Economics and Language," Princeton Economic Theory Papers 00s6, Economics Department, Princeton University.
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Cited by:
(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. Andreas Nicklisch, 2006. "Perceiving strategic environments: An experimental study of learning under minimal information," Working Paper Series of the Max Planck Institute for Research on Collective Goods 2006_17, Max Planck Institute for Research on Collective Goods. [Downloadable!]
  2. Giovanna Devetag & Andreas Ortmann, 2006. "When and Why? A Critical Survey on Coordination Failure in the Laboratory," CEEL Working Papers 0605, Computable and Experimental Economics Laboratory, Department of Economics, University of Trento, Italia. [Downloadable!]
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