A counterexample in linear-quadratic games: Existence of nonlinear nash solutions

Research output: Contribution to journalArticle

Abstract

Via a 2-stage linear-quadratic 2-person nonzero-sum game, we show that such decision problems might admit nonlinear Nash solutions. As compared with the linear strategy, a nonlinear Nash policy might lead to a better performance for at least one of the players.

Original languageEnglish (US)
Pages (from-to)425-430
Number of pages6
JournalJournal of Optimization Theory and Applications
Volume14
Issue number4
DOIs
StatePublished - Oct 1 1974
Externally publishedYes

Fingerprint

Counterexample
Game
Nonzero-sum Games
Decision problem
Person
Nash solution
Strategy
Policy

Keywords

  • Game theory
  • Nash equilibria
  • differential games
  • linear-quadratic games
  • nonzero-sum games

ASJC Scopus subject areas

  • Control and Optimization
  • Management Science and Operations Research
  • Applied Mathematics

Cite this

A counterexample in linear-quadratic games : Existence of nonlinear nash solutions. / Basar, M Tamer.

In: Journal of Optimization Theory and Applications, Vol. 14, No. 4, 01.10.1974, p. 425-430.

Research output: Contribution to journalArticle

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