What is a Solution to a Matrix Game
AbstractThese 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.
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Bibliographic InfoPaper provided by David K. Levine in its series Levine's Working Paper Archive with number 786969000000000541.
Date of creation: 11 Sep 2012
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Other versions of this item:
- Martin Shubik, 2012. "What Is a Solution to a Matrix Game," Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University 1866R, Cowles Foundation for Research in Economics, Yale University, revised Feb 2013.
- Martin Shubik, 2012. "What Is a Solution to a Matrix Game," Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University 1866, Cowles Foundation for Research in Economics, Yale University.
- C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
- C9 - Mathematical and Quantitative Methods - - Design of Experiments
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-09-22 (All new papers)
- NEP-GTH-2012-09-22 (Game Theory)
- NEP-MIC-2012-09-22 (Microeconomics)
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