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Preliminary Experimental Results on the Similarity Function in 2x2 and 3x3 Games

Zizzo, Daniel John (2003) Preliminary Experimental Results on the Similarity Function in 2x2 and 3x3 Games. [Preprint]

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Abstract

This paper employs two experimental datasets to assess along what dimensions agents evaluate whether two 2x2 or 3x3 games are similar. The Euclidean distance between the payoffs, the absolute difference in game harmony and the difference in mean and standard deviation between the games are all significant components of the estimated similarity function, and so is whether the two games have zero, unique or multiple pure Nash equilibria. However, our explanatory power is limited: substantial extra information can be gathered by collecting similarity evaluation data rather than relying just on our observable proxies.

Item Type:Preprint
Keywords:similarity, games, game harmony, cognition
Subjects:Psychology > Cognitive Psychology
Psychology > Social Psychology
ID Code:2820
Deposited By:Zizzo, Daniel John
Deposited On:12 Mar 2003
Last Modified:12 Sep 2007 17:46

References in Article

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Buschena, D., and D. Zilberman (1995) “Performance of the Similarity Hypothesis Relative to Existing Models of Risky Choice” Journal of Risk and Uncertainty 11, 233-262.

Buschena, D., and D. Zilberman (1999) “Testing the Effects of Similarity on Risky Choice: Implications for Violations of Expected Utility” Theory and Decision 46, 251-276.

Gale, J., K.G. Binmore, and L. Samuelson (1995) “Learning to Be Imperfect: The ultimatum game” Games and Economic Behavior 8, 856-90.

Gilboa, I., and D. Schmeidler (2001) A Theory of Case-Based Decisions, Cambridge University Press: Cambridge.

Jehiel, P. (1999) “Predicting by Analogy and Limited Foresight in Games” mimeo.

Rubinstein, A. (1988) “Similarity and Decision-Making Under Risk (Is There a Utility Theory Resolution to the Allais Paradox?)” Journal of Economic Theory 46, 145-153.

Zizzo, D.J. (2002a) “Game Perception and Harmony in 3 x 3 Games: An Experiment in Cognitive Game Theory” Department of Economics discussion paper n. 118, University of Oxford.

Zizzo, D.J. (2002b) “On the Measurement of Harmony in Normal-Form Games” Department of Economics discussion paper n. 116, University of Oxford.

Zizzo, D.J., and J.H.W. Tan (2002) “Game Harmony as a Predictor of Cooperation in 2 x 2 Games” Department of Economics discussion paper n. 117, University of Oxford.

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