English, Article edition: STRATEGICALLY SUPPORTED COOPERATION LEON PETROSYAN

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Bookmark: http://trove.nla.gov.au/version/18378
Physical Description
  • article
Language
  • English

Edition details

Title
  • STRATEGICALLY SUPPORTED COOPERATION
Author
  • LEON PETROSYAN
Physical Description
  • article
Notes
  • An n-person differential game Î(x, T-t) with independent motions from the initial state x and with prescribed duration T - t is considered. Suppose that y(s) is the cooperative trajectory maximizing the sum of players' payoffs. Suppose also that before starting the game players agree to divide the joint maximal payoff V(x, T - t; N) according to the imputation α, which is considered as a solution of a cooperative version of the game Î(x, T - t). Using individual rationality of the imputation α we prove that if in the game Î(y(s),T - s) along the cooperative trajectory y(s), the solution will be derived from the imputation α with the use of the imputation distribution procedure (IDP), for each given ε > 0 there exists ε-Nash equilibrium in Î(x, T - t) for which the payoffs of the players in the game will be equal exactly to the components of the imputation α (cooperative outcome). This means that the imputation α is strategically supported by some specially constructed ε-Nash equilibrium in Î(x, T - t). A similar result is true for a discrete game with perfect information.
  • RePEc:wsi:igtrxx:v:10:y:2008:i:04:p:471-480
Language
  • English
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