Non-Cooperative Stochastic Dominance Games.

Abstract

A non-cooperative stochastic dominance game is a non-cooperative game in which the only knowledge about the players' preferences and risk attitudes is presumed to be their preference orders on the set of n-tuples of pure strategies. Stochastic dominance equilibria are defined in terms of mixed strategies for the players that are efficient in the stochastic dominance sense against the strategies of the other players. It is shown that the set of SD equilibria equals all Nash equilibria that can be obtained from combinations of utility functions that are consistent with the players' known preference orders. The latter part of the report looks at antagonistic stochastic dominance games in which some combination of consistent utility functions is zero-sum over the n-tuples of pure strategies. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1977
Accession Number
ADA047728

Entities

People

  • Peter C. Fishburn

Organizations

  • Pennsylvania State University

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • California
  • Cooperative Games
  • Electronics Laboratories
  • Engineering
  • Game Theory
  • Industrial Engineering
  • Information Exchange
  • Mathematics
  • Military Research
  • New York
  • Operations Research
  • Probability
  • Probability Distributions
  • Systems Engineering
  • Theorems
  • United States

Fields of Study

  • Economics

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  • Game Theory.
  • Mathematical Modeling and Probability Theory.
  • Team-Based Human-Centered Cognitive Task Decision Making and Information Performance.