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Payoff landscapes and the robustness of selfish optimization in iterated games
In iterated games, a player can unilaterally exert influence over the outcome through a careful choice of strategy. A powerful class of such “payoff...
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Partially-Observed Bilinear Nonzero-Sum Stochastic Differential Game with Affine-Quadratic Discounted Payoff and Application to Competitive Advertising
In this paper, an affine-quadratic stochastic differential game in bilinear system is introduced to formulate a sales advertising problem with...
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Extremum Strategies of Approach of Controlled Objects in Dynamic Game Problems with Terminal Payoff Function
The authors propose a method for solving the problem of approach of controlled objects in dynamic game problems with a terminal payoff function. The...
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On Discrete-Time Replicator Equations with Nonlinear Payoff Functions
An evolutionary game is usually identified by a smooth (possibly nonlinear) payoff function. We propose a model of evolutionary game in which for any...
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Search for Nash Equilibria in Bimatrix Games with Probability and Quantile Payoff Functions
AbstractA bimatrix game with deterministic payoffs and mixed strategies is considered. The probability and quantile functions of the players’ losses...
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On the Maximum Guaranteed Payoff in Some Problems of Conflict Control of Multistep Processes
We consider multistep conflict-controlled processes with two controlling parties. The duration of the process is fixed, and there are no constraints...
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A Novel Payoff Distribution Procedure for Sustainable Cooperation in an Extensive Game with Payoffs at All Nodes
This paper is a contribution to the problem of sustainable cooperation in an extensive-form game. We study an extension of the subgame-perfect core...
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The Problem of Approach of Controlled Objects in Dynamic Game Problems with a Terminal Payoff Function
To solve the problem of convergence of controlled objects in dynamic game problems with the terminal payoff function, the author proposes a method...
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Optimal Stop** Time for Geometric Random Walks with Power Payoff Function
Two optimal stop** problems for geometric random walks with the observer’s power payoff function, on the finite and infinite horizons, are solved....
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Average Payoff Criterion
We are now interested in analyzing the average payoff game, that is, the game in ( 1.3 ) with the long-run expected average payoff in (1.13):...
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Stationary Almost Markov ε-Equilibria for Discounted Stochastic Games with Borel Spaces and Unbounded Payoffs
This paper is concerned with nonzero-sum discrete-time stochastic games in Borel state and action spaces under the expected discounted payoff...
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Market-Consistent Prices for Payoff Streams
So far we have focused on financial contracts with a single maturity. In this chapter we extend the valuation framework to include financial...
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Stackelberg and Nash Equilibria in Games with Linear-Quadratic Payoff Functions as Models of Public Goods
The paper proposes a game model with an additive convolution of two criteria, describing public and personal interests. The first (general) criterion...
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The α-Egalitarian Myerson value of games with communication structure
Some cooperative games may have some players whose marginal contribution is zero but are indispensable to forming the coalition. However, the...
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Multiple-Population Discrete-Time Mean Field Games with Discounted and Total Payoffs: The Existence of Equilibria
In the paper we present a model of discrete-time mean-field game with several populations of players. Mean-field games with multiple populations of...
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On Search of a Nash Equilibrium in Quasiconcave Quadratic Games
AbstractThe Nash equilibrium problem with nonconcave quadratic payoff functions is considered. We analyze conditions that provide quasiconcavity of...
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Application of Bargaining Schemes for Equilibrium Determination in Dynamic Games
AbstractCooperation plays an important role in dynamic games related to resource management problems. To construct cooperative behavior in asymmetric...
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Multiple-Population Discrete-Time Mean Field Games with Discounted and Total Payoffs: Approximation of Games with Finite Populations
In the paper we present a model of discrete-time mean-field game with multiple populations of players. Its main result shows that the equilibria...
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The Price of History-Independent Strategies in Games with Inter-Temporal Externalities
In this paper, we compare the value of zero-sum stochastic games under optimal strategies (that are, for single-controller stochastic games,...
