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What Does it Take to Eliminate the use of a Strategy Strictly Dominated by a Mixture?

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Author Info
John Van Huyck ()
Frederick Rankin
Raymond Battalio
Abstract

This paper reports an experiment to determine whether subjects will learn to stop using a strictly dominated strategy that can be an above average reply. It is difficult to find an experimental design that eliminates the play of the strictly dominated strategy completely. The least effective treatment used money to motivate behavior directly. The most effective treatment used a binary-lottery with money prizes to induce preferences, but even this treatment required giving subjects plenty of experience. Doing so reduced the play of the strictly dominated strategy to around 10 percent by the end of a session. There is no evidence for the explosive cycling needed to make the strictly dominated strategy an above average reply. Copyright Kluwer Academic Publishers 1999

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Publisher Info
Article provided by Springer in its journal Experimental Economics.

Volume (Year): 2 (1999)
Issue (Month): 2 (December)
Pages: 129-150
Download reference. The following formats are available: HTML, plain text, BibTeX, RIS (EndNote), ReDIF
Handle: RePEc:kap:expeco:v:2:y:1999:i:2:p:129-150

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Related research
Keywords: game theory mixed strategies dominance induced value theory risk aversion binary lotteries uncertainty aversion spite human behavior

References listed on IDEAS
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  1. Rietz, Thomas A, 1993. " Implementing and Testing Risk-Preference-Induction Mechanisms in Experimental Sealed-Bid Auctions," Journal of Risk and Uncertainty, Springer, vol. 7(2), pages 199-213, October.
  2. Milgrom, Paul & Roberts, John, 1991. "Adaptive and sophisticated learning in normal form games," Games and Economic Behavior, Elsevier, vol. 3(1), pages 82-100, February. [Downloadable!] (restricted)
  3. Cooper, Russell & DeJong, Douglas V. & Forsythe, Robert & Ross, Thomas W., 1996. "Cooperation without Reputation: Experimental Evidence from Prisoner's Dilemma Games," Games and Economic Behavior, Elsevier, vol. 12(2), pages 187-218, February. [Downloadable!] (restricted)
    Other versions:
  4. Friedman, Daniel, 1991. "Evolutionary Games in Economics," Econometrica, Econometric Society, vol. 59(3), pages 637-66, May. [Downloadable!] (restricted)
  5. Van Huyck, John, et al, 1995. "On the Origin of Convention: Evidence from Symmetric Bargaining Games," International Journal of Game Theory, Springer, vol. 24(2), pages 187-212.
  6. Van Huyck, John B & Battalio, Raymond C & Rankin, Frederick W, 1997. "On the Origin of Convention: Evidence from Coordination Games," Economic Journal, Royal Economic Society, vol. 107(442), pages 576-96, May. [Downloadable!] (restricted)
  7. Selten, Reinhard, Abdolkarim Sadrieh, and Klaus Abbink, 1995. "Money does Not Induce Risk Neutral Behavior, but Binary Lotteries Do even Worse," Discussion Paper Serie B 343, University of Bonn, Germany.
  8. 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. [Downloadable!] (restricted)
  9. Jordan J. S., 1993. "Three Problems in Learning Mixed-Strategy Nash Equilibria," Games and Economic Behavior, Elsevier, vol. 5(3), pages 368-386, July. [Downloadable!] (restricted)
  10. Friedman, Daniel, 1996. "Equilibrium in Evolutionary Games: Some Experimental Results," Economic Journal, Royal Economic Society, vol. 106(434), pages 1-25, January. [Downloadable!] (restricted)
  11. Cabrales, Antonio & Sobel, Joel, 1992. "On the limit points of discrete selection dynamics," Journal of Economic Theory, Elsevier, vol. 57(2), pages 407-419, August. [Downloadable!] (restricted)
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  12. Rapoport, Amnon & Boebel, Richard B., 1992. "Mixed strategies in strictly competitive games: A further test of the minimax hypothesis," Games and Economic Behavior, Elsevier, vol. 4(2), pages 261-283, April. [Downloadable!] (restricted)
  13. John Wooders & Jason M. Shachat, 1997. "On the Irrelevance of Risk Attitudes in Repeated Two-Outcome Games," University of California at San Diego, Economics Working Paper Series 97-34, Department of Economics, UC San Diego. [Downloadable!]
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  14. Dekel, Eddie & Scotchmer, Suzanne, 1992. "On the evolution of optimizing behavior," Journal of Economic Theory, Elsevier, vol. 57(2), pages 392-406, August. [Downloadable!] (restricted)
  15. Offerman, Theo & Schram, Arthur & Sonnemans, Joep, 1998. "Quantal response models in step-level public good games," European Journal of Political Economy, Elsevier, vol. 14(1), pages 89-100, February. [Downloadable!] (restricted)
  16. Brown, James N & Rosenthal, Robert W, 1990. "Testing the Minimax Hypothesis: A Re-examination of O'Neill's Game Experiment," Econometrica, Econometric Society, vol. 58(5), pages 1065-81, September. [Downloadable!] (restricted)
  17. Jason M. Shachat, 1996. "Mixed Strategy Play and the Minimax Hypothesis," University of California at San Diego, Economics Working Paper Series 96-37, Department of Economics, UC San Diego. [Downloadable!]
  18. Vesna Prasnikar, 1993. "Binary Lottery Payoffs: Do They Control Risk Aversion?," Discussion Papers 1059, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
Full references

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. Juan D. Montoro-Pons, 2000. "Collective Action, Free Riding And Evolution," Computing in Economics and Finance 2000 279, Society for Computational Economics. [Downloadable!]
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