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An Overview of the Mathematical Theory of Games

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  • 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.

Suggested Citation

  • William F. Lucas, 1972. "An Overview of the Mathematical Theory of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 3-19, January.
    • Handle: RePEc:inm:ormnsc:v:18:y:1972:i:5-part-2:p:3-19
    DOI: 10.1287/mnsc.18.5.3
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    Cited by:

    1. F. Forges & B. von Stengel, 2002. "Computionally Efficient Coordination in Games Trees," THEMA Working Papers 2002-05, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    2. Oluwakemi T. Oreagba & Olaleke O. Ogunnaike & Oladele J. Kehinde, 2021. "Capitalizing on Game Theory for Optimal Marketing Decision in Service Industry: Evidence From Telecommunication Industry in Nigeria," SAGE Open, , vol. 11(2), pages 21582440211, June.
    3. Roger B. Myerson, 1984. "An Introduction to Game Theory," Discussion Papers 623, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    4. Kawaguchi, Riho & Yanagisawa, Daichi & Nishinari, Katsuhiro, 2019. "Decision-making with reference information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 109-118.

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