New PDF release: Advances in Dynamic Games and Applications

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 conception is a wealthy and energetic sector of analysis of which this new quantity of the Annals of the overseas Society of Dynamic video games is but clean proof. because the moment 1/2 the 20 th century, the realm of dynamic video games has guy­ elderly to draw extraordinary mathematicians, who came upon interesting open questions requiring instruments from a wide selection of mathematical disciplines; economists, so­ cial and political scientists, who used online game concept to version and learn festival and cooperative habit; and engineers, who used video games in desktop sciences, telecommunications, and different components. The contents of this quantity are based mostly on chosen presentation made on the eighth foreign Symposium of Dynamic video games and functions, held in Chateau Vaalsbroek, Maastricht, the Netherlands, July 5-8, 1998; this convention happened lower than the auspices of the overseas Society of Dynamic video games (ISDG), tested in 1990. The convention has been cosponsored via the keep an eye on structures Society of the IEEE, IFAC (International Federation of automated Con­ trol), INRIA (Institute nationwide de Recherche en Informatique et Automatique), and the college 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 technique, as is the case with courses for archival journals.

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And Leitrnann, G. Control space properties of cooperative games, lOTA, 6 (2):91-113, 1970. [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.

The basic idea is the scalarization approach, where the vector criterion (Jj(U))jeM is replaced with the scalarized criterion LjeM Cijij(U) with a positive weighting scheme, Cij > 0, j E M. Da Cunha and Polak ([6] and [7]) proposed the first precise set of optimality conditions for a system with a vector performance index. 5To simplify the exposition, I consider, here again, the two-player case. 2 A. Haurie Pareto Optimality in Differential Games R. W. Reid and S. J. Citron [40] study the geometry of the noninferior set via the functional relationship between noninferior solution and the weighting vectors.

Petrosjan has made many publications, in Russian, on this problem of time inconsistency and on the possible regularization techniques. 3 Coalition Dynamics The "state" of a cooperative game could include, in its description of the current situation, a representation of the coalition structure. , in [39]. However, the endogenous dynamics of coalitions is not straightforward, and very little has been done in this direction of research. 26 A. , [13]. This result shows that some Pareto optimal settlements can be transformed into subgame perfect equilibria in a repeated game context, through the use of trigger strategies.

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