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Games with Finite Resources

Posted: 23 Jan 2001

See all articles by Thomas Ferguson

Thomas Ferguson

University of California, Los Angeles (UCLA) - Department of Mathematics

Costis Melolidakis

- Department of Mathematics and Informatics

Abstract

Games with Finite Resources as defined by Gale (1957) are two-person zero-sum N-stage games in which each player has N resources and may use each resource once and only once in the N stages. Gale's theorem on these games is generalized in several directions. First the payoff is allowed to be any symmetric function of the stage payoffs. Second, the players are allowed some latitude in choosing which game is being played. Aplications are given to some open questions in the area of Inspection Games. Finally the payoff is allowed to be random, thus incorporating a result of Ross (1972) on Goofspiel. Application is made to a game-theoretic version of the Generalized House Selling Problem.

Key words: Goofspiel, Inspection Games, Generalized House Selling, Sequential Assignment Problem.

JEL Classification: C70

Suggested Citation

Ferguson, Thomas S. and Melolidakis, Costis, Games with Finite Resources. Available at SSRN: https://ssrn.com/abstract=236495

Thomas S. Ferguson (Contact Author)

University of California, Los Angeles (UCLA) - Department of Mathematics ( email )

Los Angeles, CA 90095-1481
United States

Costis Melolidakis

- Department of Mathematics and Informatics

Panepistemiopolis
GR 157 84
Athens
Greece

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