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Group Selection Under the Replicator Dynamic
We consider a society where individuals get divided into different groups. All groups play the same normal form game, and each group is in the basin...
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Emission Reduction of Low-Carbon Supply Chain Based on Uncertain Differential Game
This paper studies the low-carbon production problem based on an uncertain differential game. In a two-stage low-carbon product supply chain...
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Stochastic Vaccination Game Among Influencers, Leader and Public
Celebrities can significantly influence the public towards any desired outcome. In a bid to tackle an infectious disease, a leader (government)...
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The Contribution of Evolutionary Game Theory to Understanding and Treating Cancer
Evolutionary game theory mathematically conceptualizes and analyzes biological interactions where one’s fitness not only depends on one’s own traits,...
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Necessity of Social Distancing in Pandemic Control: A Dynamic Game Theory Approach
We model a society with two types of citizens: healthy and vulnerable individuals. While both types can be exposed to the virus and contribute to its...
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Linear-Quadratic Pareto Cooperative Game for Mean-Field Backward Stochastic System
This paper focuses on a Pareto cooperative differential game with a linear mean-field backward stochastic system and a quadratic form cost...
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Bargaining and Game Theory
The chapter analyses the process of bargaining as a strategy in which negotiators follow the principle of utility regarding their objectives. It...
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Cops and Robber Game on Infinite Chessboard
AbstractWe consider two variants of the Cops and Robbers game on an infinite chessboard that is a graph giving a regular partition of the plane into...
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Solving the Problem of Approach of Controlled Objects in Dynamic Game Problems
The problem of a guaranteed result in game problems of approach of controlled objects is considered. A method for solving such problems is proposed....
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Understanding Human and Machine Interaction from Decision Perspective: An Empirical Study Based on the Game of Go
The authors aim to interpret human and AI interactions from the decision perspective. The authors decompose the interaction analysis into the...
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A game-theoretical dynamic imitation model on networks
A game-theoretical model is constructed to capture the effect of imitation on the evolution of cooperation. This imitation describes the case where...
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Mean field game of optimal relative investment with jump risk
In this paper, we study the n-player game and the mean field game under the constant relative risk aversion relative performance on terminal wealth,...
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Game-theoretical problems for fractional-order nonstationary systems
Nonstationary fractional-order systems represent a new class of dynamic systems characterized by time-varying parameters as well as memory effect and...
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Mixed Market Structure and R &D: A Differential Game Approach
We consider a dynamic model of an industry consisting of a few large firms, which can manipulate the market outcome, and a mass of small enterprises,...
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A Markovian Stackelberg game approach for computing an optimal dynamic mechanism
This paper presents a dynamic Bayesian–Stackelberg incentive-compatible mechanism, in which multiple agents observe private information and learn...
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Modified Resolving-Functions Method for Game Problems of Approach of Controlled Objects with Different Inertia
The problem of the approach of controlled objects with different inertia in dynamic game problems is considered. Modified sufficient conditions for...
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A Zero-Sum Deterministic Impulse Controls Game in Infinite Horizon with a New HJBI-QVI
In the present paper, we study a two-player, zero-sum, deterministic differential game with both players adopting impulse controls in infinite-time...
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Winning Region Determination and Optimal Cooperative Guidance Design in a Pursuer–Evader–Defender Game
In this paper, we study the pursuer–evader–defender game under the isotropic rocket model. The game involves three agents: the evader, the pursuer,...
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On Game Problems of Controlling Pencil Trajectories under Integral Constraints on the Controls of Players
AbstractThe game problems of control of pencil trajectories, described by a system of equations with a retarded argument under integral restrictions...
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On a Constrained Infinite-Time Horizon Linear Quadratic Game
A linear quadratic differential game on an infinite-time horizon is studied in the case when the controls of the minimizing player are subject to...
