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Stationary Concepts for Experimental 2x2 Games

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  • Selten, Reinhard
  • Chmura, Thorsten
Abstract
Four stationary concepts for completely mixed 2x2 games are experimentally compared: Nash equilibrium, quantal response equilibrium, sample-7 equilibrium and impulse balance equilibrium. Experiments on 12 games, 6 constant sum games and 6 non-constant sum games were run with 12 independent subject groups for each constant sum game and 5 independent subject groups for each nonconstant sum game. Each independent subject group consisted of 4 payers 1 and four players 2 interacting anonymously over 200 periods with random matching. The games were selected to yield a reasonably wide distribution over the parameter space. The comparison of the four theories shows that the order of performance from best to worst is as follows: impulse balance equilibrium, sample-7 equilibrium, quantal response equilibrium, Nash equilibrium. The new concepts of sample-7 equilibrium and impulse balance equilibrium are explained in the text.

Suggested Citation

  • Selten, Reinhard & Chmura, Thorsten, 2005. "Stationary Concepts for Experimental 2x2 Games," Bonn Econ Discussion Papers 33/2005, University of Bonn, Bonn Graduate School of Economics (BGSE).
  • Handle: RePEc:zbw:bonedp:332005
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    References listed on IDEAS

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    1. 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 848-881, September.
    2. Avrahami, Judith & Güth, Werner & Kareev, Yaakov, 2001. "The parasite game: Exploiting the abundance of nature in face of competition," SFB 373 Discussion Papers 2001,34, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    3. 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.
    4. Reinhard Selten & Klaus Abbink & Ricarda Cox, 2005. "Learning Direction Theory and the Winner’s Curse," Experimental Economics, Springer;Economic Science Association, vol. 8(1), pages 5-20, April.
    5. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    6. Reinhard Selten & Klaus Abbink & Ricarda Cox, 2005. "Learning Direction Theory and the Winner’s Curse," Experimental Economics, Springer;Economic Science Association, vol. 8(1), pages 5-20, April.
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    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

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