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Time-Inconsistent LQ Games for Large-Population Systems and Applications
In this paper, we formulate a time-inconsistent linear-quadratic (LQ) mean-field game problem for large-population systems. By the Nash certainty...
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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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Solving Maxmin Optimization Problems via Population Games
Population games are games with a finite set of available strategies and an infinite number of players, in which the reward for choosing a given...
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Incentive Designs for Stackelberg Games with a Large Number of Followers and their Mean-Field Limits
We study incentive designs for a class of stochastic Stackelberg games with one leader and a large number of (finite as well as infinite population...
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Well-Posedness of Weakly Cooperative Equilibria for Multi-objective Population Games
In this paper, we construct a bounded rationality function of weakly cooperative equilibrium point of multi-objective population games (WCEPOMPG) by...
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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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Dynamic Games with Strategic Complements and Large Number of Players
We study dynamic games with strategic complements where each player is modeled by a scalar flow dynamical system with a controlled input and an...
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Population games with instantaneous behavior and the Rosenzweig–MacArthur model
How to determine the spatial distribution and population dynamics of animals are some of the key questions in ecology. These two have been coupled...
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Sequential Decomposition of Discrete-Time Mean-Field Games
We consider both finite- and infinite-horizon discounted mean-field games where there is a large population of homogeneous players sequentially...
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Introspection Dynamics in Asymmetric Multiplayer Games
Evolutionary game theory and models of learning provide powerful frameworks to describe strategic decision-making in social interactions. In the...
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Bernstein Polynomial Approximation of Fixation Probability in Finite Population Evolutionary Games
We use the Bernstein polynomials of degree d as the basis for constructing a uniform approximation to the rate of evolution (related to the fixation...
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Games and the Treatment Convexity of Cancer
Evolutionary game theory has been highly valuable in studying frequency-dependent selection and growth between competing cancer phenotypes. We study...
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Strategy investments in zero-sum games
We propose an extension of two-player zero-sum games, where one player may select available actions for themselves and the opponent, subject to a...
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Stability Analysis of Networked Evolutionary Games with Profile-Dependent Delays
This paper investigates the networked evolutionary games (NEGs) with profile-dependent delays, including modeling and stability analysis....
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Actor-Critic Reinforcement Learning Algorithms for Mean Field Games in Continuous Time, State and Action Spaces
This paper investigates mean field games in continuous time, state and action spaces with an infinite number of agents, where each agent aims to...
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Peircian Games
In Saussurean games, Row entertains beliefs about what beliefs Column has concerning Row’s strategies of accept and reject, and, similarly, Column...
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Dynamic Advertising Games in Duopolies Under One-Step-Ahead Optimal Control
In discrete-time Vidale–Wolfe–Deal duopoly models and variants, two firms compete for market share, in a dynamic game setting, described by a pair of...
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A unified stochastic approximation framework for learning in games
We develop a flexible stochastic approximation framework for analyzing the long-run behavior of learning in games (both continuous and finite). The...
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Mean Field Games for Diel Vertical Migration with Diffusion
We present a theoretical framework, based on differential mean field games, for expressing diel vertical migration in the ocean as a game with a...
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Stability of equilibria for population games with uncertain parameters under bounded rationality
Under the assumption that the range of varying uncertain parameters is known, some results of existence and stability of equilibria for population...