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Tytuł artykułu

Models of reflexive decision-making

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper contains a survey of the game-theoretical models of reflexive decision-making. In most equilibrium concepts, used in the game theory, the parameters of the game are common knowledge - all agents know it, all agents know that all agents know it and so on ad infinitum. In general case the agents have different beliefs about beliefs of each other, thus an infinite (reflexive) belief structure appears. For this case, the concept of informational equilibrium is fruitful. The paper is devoted to the formulation of the reflexive model, and contains conditions of the reflexive equilibrium existence and stability, solution of the reflexivity depth problem for some cases, and examples.
Czasopismo
Rocznik
Strony
45--59
Opis fizyczny
Bibliogr. 19 poz., rys.
Twórcy
Bibliografia
  • [1] Mas-Colell A., Whinston M. D., Green J. R., Microeconomic theory, N.Y., Oxford Univ. Press 1995.
  • [2] Goubko M., Novikov D., Game theory in organizational management, Moscow, SINTEG 2002.
  • [3] Myerson R. B., Game theory: analysis of conflict. Harvard University Press, London 1991.
  • [4] Lefebvre V. A., Conflicting structures, Moscow, Radio and Svas 1967.
  • [5] Novikov D., Chkhartishvili A., Reflexive games, Moscow, SINTEG 2003.
  • [6] Novikov D., Chkhartishvili A., Active forecast, Moscow, ICS 2002.
  • [7] Aumann R. J., Heifetz A., Incomplete information. Handbook of Game Theory, Vol. 3, Chapter 43, Amsterdam, Elsevier (forthcoming).
  • [8] Germeier Yu., Games with non-antagonistic interests. Science, Moscow 1976.
  • [9] Kukushkin N., Morozov V., Theory of non-antagonistic games, Moscow State University, Moscow 1976.
  • [10] Howard N., Theory of meta-games. General Systems, 11, 1966, 187-200.
  • [11] Aumann R. J., Mashler M., The bargaining set for cooperative games, M. Dresher, L. S. Shapley, and A. W. Tucker (eds.). Advances in Game Theory, Princeton University Press, Princeton 1964. 443-447.
  • [12] Mertens J. F., Zamir S., Formulation of Bayesian analysis for games with incomplete information, Int. J. Game Theory, 14, 1985, 1-29.
  • [13] Harsanyi J., Games with incomplete information played by "Bayesian" players. Management Science, Part I 1967, Vol. 14, No. 3, 159-182, Part II 1968, Vol. 14, No. 5, 320-334, Part III 1968, Vol. 14, No. 7, 486-502.
  • [14] Sakovics J., Games of incomplete information without common knowledge priors. Theory and Decision 2001, No. 50, 347-366.
  • [15] Chkhartishvili A., A., Bayes-Nash equilibrium: infinite-depth point belief structures. Automation and 2003, No. 12, 105-111.
  • [16] Chkhartishvili A., Informational equilibrium. Large-scale Systems Control, Moscow, ICS 2003, Vol. 3, pp.94-109
  • [17] Novikov D. A., Chkhartishvili A. G., Informational equilibrium: point belief structures, Automation and Remote Control, 2003, No. 10, 111-122.
  • [18] Novikov D. A., Chkhartishvili A. G., Informational equilibrium stability in reflexive games. Remote Control, 2004 (forthcoming).
  • [19] Novikov D. A., Chkhartishvili A. G., Applied models of informational management, Moscow, ICS, 2004.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0008-0069
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