English, Article edition: THE PEDESTRIAN PRINCIPLE FOR DIFFERENTIAL GAMES RICHARD H. STOCKBRIDGE; ZIYU ZHENG

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Bookmark: http://trove.nla.gov.au/version/144623
Physical Description
  • article
Language
  • English

Edition details

Title
  • THE PEDESTRIAN PRINCIPLE FOR DIFFERENTIAL GAMES
Author
  • RICHARD H. STOCKBRIDGE
  • ZIYU ZHENG
Physical Description
  • article
Notes
  • A dynamic normal formulation for differential games is introduced and the "pedestrian principle" is discussed as a means of dynamically implementing the equilibrium strategy in a single game. Our formulation emphasizes the distinction between a player's rational prediction and the actual evolution of the game dynamics. To model the free will of players, a randomized strategy is introduced which serves as the justification of mixed strategies and the bridge from a static analysis to a dynamic one. Existence of Nash equilibrium in the class of mixed strategies is proved for non-cooperative deterministic differential games.
  • Differential game, dynamic, equilibrium, mixed strategy, Nash equilibrium, non-cooperative, stopping game, pedestrian principle, randomized strategy, rational, stochastic, 91A, 60H
  • RePEc:wsi:igtrxx:v:08:y:2006:i:04:p:715-737
Language
  • English
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