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Cowles Foundation Discussion Papers

Game theory

1985

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The Uses, Value And Limitation Of Game Theoretic Methods In Defense Analysis, Martin Shubik Oct 1985

The Uses, Value And Limitation Of Game Theoretic Methods In Defense Analysis, Martin Shubik

Cowles Foundation Discussion Papers

The central contribution of game theory to defense analysis has been a language for the understanding of how to formulate and study strategic or cross-purposes optimization in situations involving two or more actors. It is suggested here in this discussion that two fundamentally different classes of application of game theory to problems in defense have emerged. The first is the application of two-person zero sum game theory to military, primarily tactical situations which for the purposes at hand can be reasonably well modeled in this manner. The second is the application of two or more person nonconstant sum game theory …


The Use Of Simple Games To Illustrate Concepts And To Provide Experimental Evidence, Martin Shubik May 1985

The Use Of Simple Games To Illustrate Concepts And To Provide Experimental Evidence, Martin Shubik

Cowles Foundation Discussion Papers

This paper is devoted to a discussion of several simple experimental games used in a series of lectures on game theory. The prime purpose of these games was to raise questions and illustrate problems in the construction of game theoretical models in the social sciences. The students were asked to make choices or to give opinions as to what imputation should be recommended as a solution in a cooperative game.


Some Three Person Games In Coalitional Form For Teaching And Experimentation, Martin Shubik May 1985

Some Three Person Games In Coalitional Form For Teaching And Experimentation, Martin Shubik

Cowles Foundation Discussion Papers

Since 1973 I have used several three person games in coalitional form for both teaching and experimental purposes. They have been run in primarily a normative mode. The individuals have been asked to act as judges called upon to recommend a division of assets among three players. The basic use of these games has been to help to raise questions about context and solution concepts in cooperative game theory. Since 1980 the three basic games noted below have been used with five more or less similar groups of students at Yale. The games, their didactic purpose and the results from …