Abstract
We describe two-player simultaneous-play games. First, we use a zero-sum game to illustrate minimax, dominant, and best-response strategies. We illustrate Nash equilibria in the Prisoners’ Dilemma and the Battle of the Sexes Games, distinguishing among three types of Nash equilibria: a pure strategy, a mixed strategy, and a continuum (partially) mixed strategy. Then we introduce the program, Nash . m, and use it to solve sample games. We display the full code of Nash . m; finally, we discuss the performance characteristics of Nash . m.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Friedman, J. W. Game Theory with Applications to Economics. Oxford University Press, New York, NY, 1986.
Harsanyi, J. and R. Selten, A General Theory of Equilibrium Selection in Games. The MIT Press, Cambridge, MA, 1988.
Nash, J. Non-Cooperative Games. Annals of Mathematica ,54:286–295, 1951.
Rapoport, A. Two-Person Game Theory. University of Michigan Press, Ann Arbor, Michigan, 1970.
von Neumann, J. and O. Morgenstern, Theory of Games and Economic Behavior. Princeton University Press, Princeton, N.J., 1953.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media New York
About this chapter
Cite this chapter
Dickhaut, J., Kaplan, T. (1993). A Program for Finding Nash Equilibria. In: Varian, H.R. (eds) Economic and Financial Modeling with Mathematica®. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2281-9_7
Download citation
DOI: https://doi.org/10.1007/978-1-4757-2281-9_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-2283-3
Online ISBN: 978-1-4757-2281-9
eBook Packages: Springer Book Archive