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Games with Ordered Outcomes
We present a brief review of the most important concepts and results concerning games in which the goal structure is formalized by binary relations...
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The existence of equilibria for the rank game
In this paper, we introduce the concept of the rank game and propose a mathematical model for it. By a discrete fixed point theorem, we give the...
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Shares Allocation Methods for Generalized Game Problems with Joint Constraints
We consider an extension of a noncooperative game problem where players have joint binding constraints. We suggest a shares allocation approach,...
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A Shared-Constraint Approach to Multi-Leader Multi-Follower Games
Multi-leader multi-follower games are a class of hierarchical games in which a collection of leaders compete in a Nash game constrained by the...
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Preference profiles determining the proposals in the Gale–Shapley algorithm for stable matching problems
Concerning the strategic manipulability of the stable matching produced by the Gale–Shapley algorithm, Kobayashi and Matsui recently considered the...
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Stochastic differential portfolio games for an insurer in a jump-diffusion risk process
We discuss an optimal portfolio selection problem of an insurer who faces model uncertainty in a jump-diffusion risk model using a game theoretic...
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On the solution of affine generalized Nash equilibrium problems with shared constraints by Lemke’s method
Affine generalized Nash equilibrium problems (AGNEPs) represent a class of non-cooperative games in which players solve convex quadratic programs...
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How small are small mutation rates?
We consider evolutionary game dynamics in a finite population of size N . When mutations are rare, the population is monomorphic most of the time....
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Fixed point optimization algorithm and its application to power control in CDMA data networks
We discuss the variational inequality problem for a continuous operator over the fixed point set of a nonexpansive map**. One application of this...
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Stationary points and equilibria
Almost all existence results in mathematical economics and game theory rely on some type of fixed point theorem. However, in many cases it is much...
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A pairwise-monotonic core selection for permutation games
In this article, a single-valued solution for permutation games is proposed. If we consider that each agent on the permutation game acts both as a...
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An Ergodic Algorithm for the Power-Control Games for CDMA Data Networks
In this paper, we consider power control for the uplink of a direct-sequence code-division multiple-access data network. In the uplink, the purpose...
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Analysis of a certain class of replicator equations
Motivated by a problem in the evolution of sensory systems where gains obtained by improvements in detection are offset by increased costs, we prove...
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On the design of voting games
By focusing on the protectionist tendency found in the design of voting games, a thorough analysis is provided for the role of blocking coalitions in...