Accession Number : ADA117085

Title :   Stochastic Games. I. Foundations,

Corporate Author : YALE UNIV NEW HAVEN CT COWLES FOUNDATION FOR RESEARCH IN ECONOMICS

Personal Author(s) : Monash,Curt Alfred

PDF Url : ADA117085

Report Date : Apr 1982

Pagination or Media Count : 18

Abstract : This paper strives to provide a sound underpinning for the theory of stochastic games. Section 2 is a reworking of the Bewley-Kohlberg result integrated with Shapley's; the black magic of Tarski's principle is replaced by the gray magic of the Hilbert Nullstellensatz. Section 3 explicates the underlying topology and measure theory; I believe it is as necessary for Mertens and Neyman's proof of the minmax theorem as it is for mine. Finally, Section 4 establishes a result on this sort of structure which may be of some independent interest.

Descriptors :   *Stochastic processes, *Game theory, Hilbert space, Economic models, Theorems

Subject Categories : Economics and Cost Analysis
      Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE