Tadeusz Radzik, Alan J. Goldman (auth.), Eitan Altman, Odile's Advances in Dynamic Games and Applications PDF

By Tadeusz Radzik, Alan J. Goldman (auth.), Eitan Altman, Odile Pourtallier (eds.)

ISBN-10: 1461201551

ISBN-13: 9781461201557

ISBN-10: 1461266378

ISBN-13: 9781461266372

Game thought is a wealthy and lively quarter of study of which this new quantity of the Annals of the overseas Society of Dynamic video games is but clean facts. because the moment 1/2 the twentieth century, the world of dynamic video games has guy­ elderly to draw amazing mathematicians, who stumbled on fascinating open questions requiring instruments from a large choice of mathematical disciplines; economists, so­ cial and political scientists, who used video game concept to version and learn festival and cooperative habit; and engineers, who used video games in laptop sciences, telecommunications, and different components. The contents of this quantity are based on chosen presentation made on the eighth overseas Symposium of Dynamic video games and functions, held in Chateau Vaalsbroek, Maastricht, the Netherlands, July 5-8, 1998; this convention happened below the auspices of the overseas Society of Dynamic video games (ISDG), demonstrated in 1990. The convention has been cosponsored through the regulate structures Society of the IEEE, IFAC (International Federation of computerized Con­ trol), INRIA (Institute nationwide de Recherche en Informatique et Automatique), and the collage of Maastricht. One ofthe actions of the ISDG is the publica­ tion of the Annals. each paper that looks during this quantity has gone through a stringent reviewing approach, as is the case with courses for archival journals.

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Extra resources for Advances in Dynamic Games and Applications

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51] von Neumann, J. and Morgenstern, O. Theory of Games and Economic Behavior, Princeton University Press, 1944. [52] Yu, P. L. and Leitrnann, G. Compromise solutions, domination structures and salukvadze's solution, larA, 13 (3):362-378, 1974. [53] Zadeh, L. A. Optimality of non-scalar-valued perfonnance criteria, IEEE Trans. Auto. , AC-8 (1), 1963. Certainty Equivalence Principle and Minimax Team Problems Pierre Bernhard University of Nice and I3S CNRS-UNSA Sophia Antipolis, France Naira Hovakimyan National Academy of Sciences of Armenia Institute of Mechanics Yerevan, Armenia Abstract We consider a team problem, with two decision makers for simplicity, where the uncertainties are dealt with in a minimax fashion rather than in a stochastic framework.

12] Pontryagin, L. , Boltyanskii, V. , Gamkrelidze, R. , and Mischenko, E. F. The Mathematical Theory of Optimal Processes, John Wiley & Sons, New York, London, 1962. , [13] Radner R. Team decision problems, Ann. Math. , 33, pp. 857-881, 1962. [14] Srikant, R. Relationship between decentralized controller design using Boo and stochastic risk averse criteria, IEEE-AC, 39, pp. 861-864,1994. [15] Srikant, R. and Ba~ar, T. Approximate Nash strategies and suboptimal team solutions in Markov chains with weakly coupled decision makers, Int.

A Historical Perspective on Cooperative Differential Games 29 [40] Reid, R. W. and Citron, S. J. On noninferior perfonnance index vectors, larA, 7 (1):11-27,1969. [41] Salukvadze, M. On the existence of solutions in problems of optimization under vector-valued criteria, larA, 13 (2):203-217,1974. [42] Tolwinski, B. A concept of cooperative equilibrium for dynamic games, Automatica, 18, (4):431-441, 1982. [43] Scarf, H. The Core of a n-person game, Econometrica, 35, 50-69,1967. [44] Schmitendorf, W.

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