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Finding mixed strategy Nash equilibria with decision trees

Author

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  • Cobb, Barry R.
  • Sen, Tinni

Abstract

This paper describes the usefulness of decision tree models for determining mixed strategy Nash equilibria in normal form games, particularly to undergraduate students. The approach is to construct a decision tree for each player, then solve the model via dynamic programming to determine the equations that must be satisfied at Nash equilibrium. This method not only provides a computational device that can be used to calculate the Nash equilibrium, but also serves as a visual aid that helps students understand the Nash equilibrium concept.

Suggested Citation

  • Cobb, Barry R. & Sen, Tinni, 2014. "Finding mixed strategy Nash equilibria with decision trees," International Review of Economics Education, Elsevier, vol. 15(C), pages 43-50.
  • Handle: RePEc:eee:ireced:v:15:y:2014:i:c:p:43-50
    DOI: 10.1016/j.iree.2013.03.002
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    Cited by:

    1. J. E. Abdou & E. Safatly & B. Nakhle & A. El Khoury, 2017. "High-Dimensional Nash Equilibria Problems and Tensors Applications," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 1-25, September.

    More about this item

    Keywords

    Decision tree; Game theory; Mixed strategy; Nash equilibrium;
    All these keywords.

    JEL classification:

    • A20 - General Economics and Teaching - - Economic Education and Teaching of Economics - - - General
    • A22 - General Economics and Teaching - - Economic Education and Teaching of Economics - - - Undergraduate

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