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Games and Phone Numbers: Do Short Term Memory Bounds Affect Strategy Behavior?

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Author Info
Giovanna Devetag
Massimo Warglien

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Abstract

Research in experimental and behavioral game theory has revealed a substantial and persistent degree of heterogeneity in the strategic behavior of real individuals. While the prevailing theoretical explanations of the observed heterogeneity typically invoke underlying differences in beliefs among the population of players, we argue that a further source of heterogeneity may consist in the individuals' different ability to process information, of which short term memory capacity provides a measurable proxy. Research in cognitive psychology has shown that individuals typically differ in their short term memory capacity; furthermore, short term memory capacity provides a fundamental cognitive bottleneck to our ability to process information efficiently and hence seems correlated with performance in a variety of problem solving and reasoning tasks. In this paper we conduct experiments on a set of well-known games whose solution concepts require the application of some paradigmatic forms of strategic reasoning, such as iterated dominance, reasoning about common knowledge and backward induction. We separately conduct standard short term memory tests on our subjects to detect the presence of a correlation between individuals' behavior in the games - here defined in terms of degrees of conformity to the standard game-theoretic prescriptions - and their short term memory score. Our results show the presence of a significant and positive correlation between subjects' short term memory score and conformity to standard game-theoretic prescriptions in the games, thus confirming our hypothesis. While the robustness of our conjecture awaits to be confirmed by further data gathering in more interactive experimental settings, our preliminary results suggest a promising line of inquiry on the interconnections between information processing capacity and strategic behavior

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Paper provided by Department of Computer and Management Sciences, University of Trento, Italy in its series ROCK Working Papers with number 018.

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Length: 25 pages
Date of creation: Jan 2002
Date of revision: 13 Jun 2008
Handle: RePEc:trt:rockwp:018

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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. 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)
  2. Johnson, Eric J. & Camerer, Colin & Sen, Sankar & Rymon, Talia, 1998. "Detecting Failures of Backward Induction: Monitoring Information Search in Sequential Bargaining," Working Papers 1040, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  3. Abreu, Dilip & Rubinstein, Ariel, 1988. "The Structure of Nash Equilibrium in Repeated Games with Finite Automata," Econometrica, Econometric Society, vol. 56(6), pages 1259-81, November. [Downloadable!] (restricted)
  4. Schotter Andrew & Weigelt Keith & Wilson Charles, 1994. "A Laboratory Investigation of Multiperson Rationality and Presentation Effects," Games and Economic Behavior, Elsevier, vol. 6(3), pages 445-468, May. [Downloadable!] (restricted)
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  5. Ho, Teck-Hua & Camerer, Colin & Weigelt, Keith, 1998. "Iterated Dominance and Iterated Best Response in Experimental "p-Beauty Contests."," American Economic Review, American Economic Association, vol. 88(4), pages 947-69, September. [Downloadable!] (restricted)
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  6. Camerer, Colin, 1995. "Rules for Experimenting in Psychology and Economics, and Why They Differ," Working Papers 946, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  7. Simon, Herbert A, 1978. "Rationality as Process and as Product of Thought," American Economic Review, American Economic Association, vol. 68(2), pages 1-16, May.
  8. 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. [Downloadable!] (restricted)
  9. Giovanna Devetag & Massimo Warglien, 2001. "Representing Others' Preferences in Mixed Motive Games: Was Schelling Right," Quaderni DISA 061, Department of Computer and Management Sciences, University of Trento, Italy.
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  10. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-26, December. [Downloadable!] (restricted)
  11. Darryl Seale & Amnon Rapoport, 2000. "Elicitation of Strategy Profiles in Large Group Coordination Games," Experimental Economics, Springer, vol. 3(2), pages 153-179, October. [Downloadable!] (restricted)
  12. Geanakoplos, John, 1994. "Common knowledge," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 40, pages 1437-1496 Elsevier. [Downloadable!] (restricted)
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  1. Giovanna Devetag & Massimo Warglien, 2005. "Playing the wrong game: An experimental analysis of relational complexity and strategic misrepresentation," CEEL Working Papers 0504, Computable and Experimental Economics Laboratory, Department of Economics, University of Trento, Italia. [Downloadable!]
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