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Experimental Investigation of a Cyclic Duopoly Game

Author

Listed:
  • Goerg, Sebastian J.
  • Selten, Reinhard

Abstract

The notion of a cyclic game has been introduced by Selten and Wooders (2001). They illustrate the concept by the analysis of a cyclic duopoly game. The experiments reported concern this game. The game was played by eleven matching groups of six players each. The observed choice fre- quencies were compared with the predictions of Nash equilibrium, impulse balance equilibrium (Selten, Abbink and Cox (2005), Selten and Chmura (2007)) and two-sample equilbrium (Osborne and Rubinstein(1998)). Pair- wise comparisons by the Wilcoxon Signed-rank test show that impulse balance equilibrium as well as two-sample equilibrium have a significantly better predictive success than Nash equilibrium. The difference between impulse balance equilibrium and two-sample equilibrium is not significant.In each matching group three players acted only in uneven periods and the other three only in even periods. This game has two pure strategy equi- libria in which both types of players behave differently. The data exhibit a weak but significant tendency in the direction of coordination at a pure strategy equilibrium.

Suggested Citation

  • Goerg, Sebastian J. & Selten, Reinhard, 2007. "Experimental Investigation of a Cyclic Duopoly Game," Bonn Econ Discussion Papers 9/2007, University of Bonn, Bonn Graduate School of Economics (BGSE).
  • Handle: RePEc:zbw:bonedp:92007
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    References listed on IDEAS

    as
    1. Judith Avrahami & Werner Güth & Yaakov Kareev, 2005. "Games of Competition in a Stochastic Environment," Theory and Decision, Springer, vol. 59(4), pages 255-294, December.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    cyclic game duopoly experiment; impulse balance equilibrium; two-sample equilibrium;
    All these keywords.

    JEL classification:

    • C90 - Mathematical and Quantitative Methods - - Design of Experiments - - - General
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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