Some thoughts on saddle-point conditions and information structures in zero-sum differential games

Research output: Contribution to journalArticlepeer-review

Abstract

For an apparently simple 2-stage linear-quadratic zero-sum difference game with dynamic information structure, it is shown that (i) there exist nonlinear saddle-point strategies which require the same existence conditions as the well-known linear closed-loop no-memory solution, (ii) there exist both linear and nonlinear saddle-point strategies which require more stringent conditions than the unique open-loop solution. The implication of this result on the existence of saddle-points in zero-sum differential games for different information patterns is then discussed.

Original languageEnglish (US)
Pages (from-to)622-624
Number of pages3
JournalProceedings of the IEEE Conference on Decision and Control
DOIs
StatePublished - Jan 1 1975
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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