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Scale-Free Networks Enhance the Spread of Better Strategy
In this study, we mathematically demonstrate that heterogeneous networks accelerate the social learning process, using a mean-field approximation of...
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The Evolution of Cooperation in a Mobile Population on Random Networks: Network Topology Matters Only for Low-Degree Networks
We consider a finite structured population of mobile individuals that strategically explore a network using a Markov movement model and interact with...
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Some Remarks on Linear-Quadratic Closed-Loop Games with Many Players
We identify structural assumptions which provide solvability of the Nash system arising from a linear-quadratic closed-loop game, with stable...
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Generalized Pair-Wise Logit Dynamic and Its Connection to a Mean Field Game: Theoretical and Computational Investigations Focusing on Resource Management
Logit dynamics are evolution equations that describe transitions to equilibria of actions among many players. We formulate a pair-wise logit dynamic...
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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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Pareto Optimal Cooperative Control of Mean-Field Backward Stochastic Differential System in Finite Horizon
This research article aims to investigate a new type of Pareto cooperative differential game governed by backward stochastic differential equations...
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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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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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Optimal Positional Strategies in Differential Games for Neutral-Type Systems
The paper deals with a zero-sum differential game for a dynamical system described by neutral-type functional-differential equations in Hale’s form...
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Equilibria in the Large-Scale Competition for Market Share in a Commodity with Resource-Buying
We study a mean field game model of Cournot/Bertrand competition between firms. Chan and Sircar introduced such a mean field model of competition in...
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A Strongly Group Strategyproof and Shill Resistant Bargaining Mechanism for Fog Resource Pricing
Whereas there are group strategyproof mechanisms for a variety of problems, to date, group strategyproof bargaining has not been studied. Although...
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A Fair-Sharing Value for Cooperative Dynamic Network Games
This technical note develops a novel gain-sharing solution for distributing the gains to the players in cooperative dynamic network games which...
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On the Quadratic Convergence of Newton’s Method for Mean Field Games with Non-separable Hamiltonian
We analyze asymptotic convergence properties of Newton’s method for a class of evolutive Mean Field Games systems with non-separable Hamiltonian...
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Averting Depletion in a Two-Player Common Pool Resource Game: Being Seen, the Expectation of Future Encounters, and Biophilia Play a Role in Cooperation
Using a two-player common pool resource game, we investigated the influence of multiple factors on cooperation: (1) probability of future rounds, (2)...
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The Price Identity of Replicator(–Mutator) Dynamics on Graphs with Quantum Strategies in a Public Goods Game
Our research explores the influence of quantum strategies on the Price identity of replicator(–mutator) dynamics in networked systems. We...
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An Approach to Stochastic Dynamic Games with Asymmetric Information and Hidden Actions
We consider in discrete time, a general class of sequential stochastic dynamic games with asymmetric information with the following features. The...
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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,...
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A Mean Field Game Model for Renewable Investment Under Long-Term Uncertainty and Risk Aversion
We consider a stylized model for investment into renewable power plants under long-term uncertainty. We model risk-averse agents facing heterogeneous...
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How Do Coalitions Break Down? An Alternative View
We propose an alternative dynamic theory of coalition breakdown. Motivated by recent coalition-splitting events of unilateral country withdrawals, we...
