What is a Solution to a Matrix Game

75 Pages Posted: 12 Jul 2012 Last revised: 20 Jul 2012

See all articles by Martin Shubik

Martin Shubik

Yale University - School of Management; Yale University - Cowles Foundation

Multiple version iconThere are 2 versions of this paper

Date Written: July 11, 2012

Abstract

These notes are provided to describe many of the problems encountered concerning both structure and behavior in specifying what is meant by the solution to a game of strategy in matrix or strategic form. In the short term in particular, it is often reasonable for the individual to accept as given, both the context in which decisions are being made and the formal structure of the rules of the game. A solution is usually considered as a complete set of equations of motion that when applied to the game at hand selects a final outcome. There are many different theories and conjectures about how games of strategy are, or should be played. Several of them are noted below. They are especially relevant to the experimental gaming facility noted in the companion paper.

Keywords: Matrix games, Solution concepts, Experimental gaming

JEL Classification: C7, C9

Suggested Citation

Shubik, Martin, What is a Solution to a Matrix Game (July 11, 2012). Cowles Foundation Discussion Paper No. 1866, Available at SSRN: https://ssrn.com/abstract=2103765 or http://dx.doi.org/10.2139/ssrn.2103765

Martin Shubik (Contact Author)

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HOME PAGE: http://cowles.econ.yale.edu/P/au/d_shubik.htm

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