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Management Science 1972

An Overview of the Mathematical Theory of Games

William F. Lucas

Cornell University

Abstract

A cursory survey of the theory of games is presented. The basic models for games in extensive form, normal form, and characteristic function form are discussed, and some generalizations and extensions of these models are mentioned briefly. Some general remarks about the applicability of the theory are made in §2, and a few-specific applications are referred to in sections subsequent to the description of the particular models. Mention is made throughout this paper to the other game theoretic articles in this issue in an attempt to place them somewhat within this outline of the subject.

DOI
10.1287/mnsc.18.5.3
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