Two General Properties of the Saddle-Point Solutions of Dynamic Games

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Abstract

In deterministic team problems every closed-loop representation of an optimal open-loop solution is also optimal This property, however, no longer holds true when the optimization problem is a zero-sum or a nonzero-sum game. In zero-sum games, two weaker (but still general enough) versions of this statement are valid, which still fail to hold in the case of nonzero-sum games. In this correspondence we state and prove these two general properties of the saddle-point solution in dynamic games.

Original languageEnglish (US)
Pages (from-to)124-126
Number of pages3
JournalIEEE Transactions on Automatic Control
Volume22
Issue number1
DOIs
StatePublished - Feb 1977
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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