共查询到20条相似文献,搜索用时 187 毫秒
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研究广义强向量拟均衡问题(GSVQEP)解集的通有稳定性.在约束集值映射满足一定连续与目标映射是锥-真拟凸的集值映射条件下,证明了广义强向量拟均衡问题构成的空间M中,在Baire分类意义下,广义强向量拟均衡问题解集是通有稳定的,且给出了空间M中对每个广义强向量拟均衡问题的解集至少存在一个本质连通区. 相似文献
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本文讨论了集值映射的Nash平衡点的存在及平衡点集的通有稳定性,得到大多数的集值映射的Nash平衡点集是稳定的。 相似文献
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引入了一个新的利他扰动.定义了KyFan点集的利他本质集,进一步证明在此扰动下,KyFan点集的利他本质连通区的存在性.证明了满足一定条件的n人非合作博弈中,Nash均衡点集至少存在一个利他本质连通区,而且Nash均衡点集的每一个本质集必是利他稳定集,Nash均衡点集的本质连通区也是利他本质集连通区. 相似文献
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广义向量似变分不等式解集的通有稳定性 总被引:3,自引:2,他引:3
本文首先得到广义向量似变分不等式问题的解的存在性定理,然后利用USCO映射的性质(见TanKK(etal)(1995)),讨论广义向量似变分不等式的解集的通有稳定性,得到大多数(拓扑意义下)广义向量似变分不等式问题的解集是稳定的. 相似文献
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利用集值映射方法定义约束广义最大元,在约束条件和向量参变量意义下,讨论了约束最大元映射、向量参数扰动时,特别是约束条件受到扰动时,向量参变量的约束集族最大元的通有稳定性,在最广的扰动下,获得了通有稳定性定理. 相似文献
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本文在集值映射的图象拓扑意义下,证明了赋范线性空间中的Ky Fan引理的解集的本质连通区的存在性,由此得到一类对策的Nash平衡点集的本质连通区的存在性. 相似文献
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This paper studies the stability of weakly Pareto-Nash and Pareto-Nash equilibrium for multiobjective generalized games with the payoff perturbed. Using a simple characterization of the weakly Pareto-Nash solution, we obtain a generic continuous result concerning weakly Pareto-Nash solution mapping. Examples are given to show that Pareto-Nash equilibrium mapping is neither upper semicontinuous nor lower semicontinuous. Through seeking the sub-mapping, we prove that most multiobjective generalized games have at least one essential Pareto-Nash solution. 相似文献
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首先把信息集的概念引入到多目标博弈, 建立了信息集广义多目标博弈模型, 并指出了信息集广义多目标博弈以广义多目标博弈、广义n人非合作博弈、一般n人非合作博弈为特例, 然后用Fan-Glicksberg不动点定理证明了信息集广义多目标博弈弱Pareto-Nash平衡点的存在性, 最后在本质解和强本质解的意义下,
分别研究了信息集广义多目标博弈弱Pareto-Nash平衡点的通有稳定性和强本质连通区的存在性. 相似文献
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Population uncertainty and Poisson games 总被引:1,自引:0,他引:1
Roger B. Myerson 《International Journal of Game Theory》1998,27(3):375-392
A general class of models is developed for analyzing games with population uncertainty. Within this general class, a special
class of Poisson games is defined. It is shown that Poisson games are uniquely characterized by properties of independent
actions and environmental equivalence. The general definition of equilibrium for games with population uncertainty is formulated,
and it is shown that the equilibria of Poisson games are invariant under payoff-irrelevant type splitting. An example of a
large voting game is discussed, to illustrate the advantages of using a Poisson game model for large games.
Received December 1995/Revised version July 1997 相似文献
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Roman Kozhan 《International Journal of Game Theory》2011,40(2):215-230
This paper introduces a class of non-additive anonymous games where agents are assumed to be uncertain (in the sense of Knight)
about opponents’ strategies and about the initial distribution over players’ characteristics in the game. We model uncertainty
by non-additive measures or capacities and prove the Cournot–Nash equilibrium existence theorem for this class of games. Equilibrium
distribution can be symmetrized under milder conditions than in the case of additive games. In particular, it is not required
for the space characteristics to be atomless under capacities. The set-valued map of the Cournot–Nash equilibria is upper-semicontinuous
as a function of initial beliefs of the players for non-additive anonymous games. 相似文献
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AbstractThe allocation problem of rewards or costs is a central question for individuals and organizations contemplating cooperation under uncertainty. The involvement of uncertainty in cooperative games is motivated by the real world where noise in observation and experimental design, incomplete information and further vagueness in preference structures and decision-making play an important role. The theory of cooperative ellipsoidal games provides a new game theoretical angle and suitable tools for answering this question. In this paper, some solution concepts using ellipsoids, namely the ellipsoidal imputation set, the ellipsoidal dominance core and the ellipsoidal stable sets for cooperative ellipsoidal games, are introduced and studied. The main results contained in the paper are the relations between the ellipsoidal core, the ellipsoidal dominance core and the ellipsoidal stable sets of such a game. 相似文献
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D. W. K. Yeung 《Journal of Optimization Theory and Applications》2001,111(2):445-460
In this paper, we consider infinite-horizon stochastic differential games with an autonomous structure and steady branching payoffs. While the introduction of additional stochastic elements via branching payoffs offers a fruitful alternative to modeling game situations under uncertainty, the solution to such a problem is not known. A theorem on the characterization of a Nash equilibrium solution for this kind of games is presented. An application in renewable resource extraction is provided to illustrate the solution mechanism. 相似文献
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R. Branzei O. Branzei S. Zeynep Alparslan Gök S. Tijs 《Central European Journal of Operations Research》2010,18(3):397-411
The (re)distribution of collective gains and costs is a central question for individuals and organizations contemplating cooperation under uncertainty. The theory of cooperative interval games provides a new game theoretical angle and suitable tools for answering this question. This survey aims to briefly present the state-of-the-art in this young field of research, discusses how the model of cooperative interval games extends the cooperative game theory literature, and reviews its existing and potential applications in economic and operations research situations with interval data. 相似文献
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This article studies singular mean field control problems and singular mean field two-players stochastic differential games. Both sufficient and necessary conditions for the optimal controls and for the Nash equilibrium are obtained. Under some assumptions the optimality conditions for singular mean-field control are reduced to a reflected Skorohod problem, whose solution is proved to exist uniquely. Motivations are given as optimal harvesting of stochastic mean-field systems, optimal irreversible investments under uncertainty and mean-field singular investment games. In particular, a simple singular mean-field investment game is studied, where the Nash equilibrium exists but is not unique. 相似文献
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We present a distribution-free model of incomplete-information games, both with and without private information, in which
the players use a robust optimization approach to contend with payoff uncertainty. Our ``robust game' model relaxes the assumptions
of Harsanyi's Bayesian game model, and provides an alternative distribution-free equilibrium concept, which we call ``robust-optimization
equilibrium,' to that of the ex post equilibrium. We prove that the robust-optimization equilibria of an incomplete-information game subsume the ex post equilibria of the game and are, unlike the latter, guaranteed to exist when the game is finite and has bounded payoff uncertainty
set. For arbitrary robust finite games with bounded polyhedral payoff uncertainty sets, we show that we can compute a robust-optimization
equilibrium by methods analogous to those for identifying a Nash equilibrium of a finite game with complete information. In
addition, we present computational results.
The research of the author was partially supported by a National Science Foundation Graduate Research Fellowship and by the
Singapore-MIT Alliance.
The research of the author was partially supported by the Singapore-MIT Alliance. 相似文献