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Online Learning in Budget-Constrained Dynamic Colonel Blotto Games
In this paper, we study the strategic allocation of limited resources using a Colonel Blotto game (CBG) under a dynamic setting and analyze the...
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A Modified Method of Resolving Functions for Game Control Problems with Integral Constraints
The authors consider linear differential games with integral constraints. Sufficient conditions for the game termination in a finite guaranteed time...
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Dynamic Game of International Pollution Control with General Oligopolistic Equilibrium: Neary Meets Dockner and Long
This study develops a two-country differential game model of transboundary pollution control with a continuum of polluting and oligopolistic...
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A Dynamic Multi-Player Bargaining Game with Veto Players
This paper studies the effect of veto right on players’ income in multi-player dynamic bargaining game. Based on a basic multi-person dynamic...
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Evolutionary Game Dynamics with Environmental Feedback in a Network with Two Communities
Recent developments of eco-evolutionary models have shown that evolving feedbacks between behavioral strategies and the environment of game...
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Four Limit Cycles for a Rock-Scissor-Paper Game Between Bacteriocin Producing Bacteria
In this paper, four limit cycles are constructed for a concrete 3D model of rock-scissor-paper (RSP) game between bacteriocin producing bacteria....
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Benefits of Rent Sharing in Dynamic Resource Games
Ngo Van Long’s classic paper on the risk of expropriation of natural resources published in a 1975 issue of the Journal of Economic Theory was an...
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The Generalized Stackelberg Equilibrium of the Two-Person Stop** Game
In modeling the bilateral selection of states of the process, Dynkin (Dokl Akad Nauk USSR 185:241–288, 1969) proposed a two-person game in which...
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Durable-Strategies Dynamic Games Theory, Solution Techniques and Applications
Durable strategies that have prolonged effects are prevalent in real-world situations. Revenue-generating investments, toxic waste disposal,...
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On game value for a pursuit-evasion differential game with state and integral constraints
A pursuit-evasion differential game of countably many pursuers and one evader is investigated. Integral constraints are imposed on the control...
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About One Differential Game Model with Dynamic Updating
Differential game model of limited resource extraction with dynamic updating is studied in the paper. The class of games with dynamic updating is new...
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Individual Stability of Pareto Equilibrium of Threats and Counterthreats in a Coalition Differential Game without Side Payments
AbstractThe notion of individual stability of a Pareto equilibrium of threats and counterthreats in a three-person linear-quadratic differential game...
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Exact Controllability for Mean-Field Type Linear Game-Based Control Systems
Motivated by the self-pursuit of controlled objects, we consider the exact controllability of a linear mean-field type game-based control system...
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A game-theoretic approach to dynamic boundary problems for level-set curvature flow equations and applications
This paper is devoted to a game-theoretic approach to the level-set curvature flow equation with nonlinear dynamic boundary conditions. Under the...
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Feedback Strategies in a Game-Theoretical Control Problem for a Nonlocal Continuity Equation
AbstractThe paper deals with game-theoretical control problem for the continuity equation. It is assumed that all agents of a multiagent system...
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Optimizing the Electricity Consumption with a High Degree of Flexibility Using a Dynamic Tariff and Stackelberg Game
Recent advancements in the sensor industry, smart metering systems and communication technology have led to interesting electricity consumption...
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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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Dynamic Cournot-Nash equilibrium: the non-potential case
We consider a large population dynamic game in discrete time where players are characterized by time-evolving types. It is a natural assumption that...
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Durable-Strategies Dynamic Games: Theory and Solution Techniques
Yeung and Petrosyan present a new class of dynamic games with multiple durable strategies of different lags affecting both the players’ payoffs and... -
Stochastic analysis and optimal control of a donation game system with non-uniform interaction rates and Gram–Schmidt orthogonalization procedure
This paper investigates an evolutionary donation game with non-uniform interaction rates in well-mixed populations. Further, we consider that the...