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In a non-cooperative game, players do not communicate with each other. Their only feedback is the payoff they receive resulting from the strategies they execute. It is important to note that within each level set of the total payoff…

历史与综述 · 数学 2024-03-14 Julie Rowlett

We study a class of non-cooperative aggregative games -- denoted as \emph{social purpose games} -- in which the payoffs depend separately on a player's own strategy (individual benefits) and on a function of the strategy profile which is…

计算机科学与博弈论 · 计算机科学 2021-09-20 Robert P. Gilles , Lina Mallozzi , Roberta Messalli

Traditionally social sciences are interested in structuring people in multiple groups based on their individual preferences. This pa- per suggests an approach to this problem in the framework of a non- cooperative game theory. Definition of…

最优化与控制 · 数学 2017-05-02 Dmitry Levando

The paper defines a non-cooperative simultaneous finite game to study coalition structure formation with intra and inter-coalition externalities. The novelty of the game is that the game definition embeds a \textit{coalition structure…

最优化与控制 · 数学 2016-12-08 Dmitry V. Levando

Reward allocation, also known as the credit assignment problem, has been an important topic in economics, engineering, and machine learning. An important concept in reward allocation is the core, which is the set of stable allocations where…

计算机科学与博弈论 · 计算机科学 2024-11-01 Nam Phuong Tran , The Anh Ta , Shuqing Shi , Debmalya Mandal , Yali Du , Long Tran-Thanh

In this paper, we provide an effective characterization of all the subgame-perfect equilibria in infinite duration games played on finite graphs with mean-payoff objectives. To this end, we introduce the notion of requirement, and the…

计算机科学与博弈论 · 计算机科学 2022-04-22 Léonard Brice , Jean-François Raskin , Marie Van Den Bogaard

The maintenance of cooperation in the presence of spatial restrictions has been studied extensively. It is well-established that the underlying graph topology can significantly influence the outcome of games on graphs. Maintenance of…

物理与社会 · 物理学 2021-10-27 Saptarshi Sinha , Deep Nath , Soumen Roy

The model of incomplete cooperative games incorporates uncertainty into the classical model of cooperative games by considering a partial characteristic function. Thus the values for some of the coalitions are not known. The main focus of…

计算机科学与博弈论 · 计算机科学 2023-12-12 Jan Bok , Martin Černý

Cooperative games can be distinguished as non-cooperative games in which players can freely sign binding agreements to form coalitions. These coalitions inherit a joint strategy set and seek to maximize collective payoffs. When the payoffs…

理论经济学 · 经济学 2024-04-16 Justin Chan

The known results regarding two-player zero-sum games are naturally generalized in complex space and are presented through a complete compact theory. The payoff function is defined by the real part of the payoff function in the real case,…

最优化与控制 · 数学 2022-11-30 Nick Dimou

This paper introduces a framework for finite non-cooperative games where each player faces a globally uncertain parameter with no common prior. Every player chooses both a mixed strategy and projects an emergent subjective prior to the…

理论经济学 · 经济学 2025-03-05 Jozsef Konczer

In communication systems where users share common resources, users' selfish behavior usually results in suboptimal resource utilization. There have been extensive works that model communication systems with selfish users as one-shot games…

信息论 · 计算机科学 2011-11-11 Yuanzhang Xiao , Jaeok Park , Mihaela van der Schaar

We consider multiplayer stochastic games in which the payoff of each player is a bounded and Borel-measurable function of the infinite play. By using a generalization of the technique of Martin (1998) and Maitra and Sudderth (1998), we show…

最优化与控制 · 数学 2022-08-26 János Flesch , Eilon Solan

We consider network games where a large number of agents interact according to a network sampled from a random network model, represented by a graphon. By exploiting previous results on convergence of such large network games to graphon…

计算机科学与博弈论 · 计算机科学 2023-03-21 Feras Al Taha , Francesca Parise

In many multi-agent settings, participants can form teams to achieve collective outcomes that may far surpass their individual capabilities. Measuring the relative contributions of agents and allocating them shares of the reward that…

机器学习 · 计算机科学 2022-08-19 Daphne Cornelisse , Thomas Rood , Mateusz Malinowski , Yoram Bachrach , Tal Kachman

In dynamic noncooperative games, each player makes conjectures about other players' reactions before choosing a strategy. However, resulting equilibria may be multiple and do not always lead to desirable outcomes. These issues are typically…

计算机科学与博弈论 · 计算机科学 2025-11-24 Francesco Morri , Hélène Le Cadre , David Salas , Didier Aussel

Various social dilemma games that follow different strategy updating rules have been studied on many networks.The reported results span the entire spectrum, from significantly boosting,to marginally affecting,to seriously decreasing the…

物理与社会 · 物理学 2015-06-17 Qiang Zhang , Tianxiao Qi , Keqiang Li , Zengru Di , Jinshan Wu

In this paper, we study nonzero-sum separable games, which are continuous games whose payoffs take a sum-of-products form. Included in this subclass are all finite games and polynomial games. We investigate the structure of equilibria in…

计算机科学与博弈论 · 计算机科学 2010-04-26 Noah D. Stein , Asuman Ozdaglar , Pablo A. Parrilo

For a non-cooperative differential game, the value functions of the various players satisfy a system of Hamilton-Jacobi equations. In the present paper, we consider a class of infinite-horizon games with nonlinear costs exponentially…

偏微分方程分析 · 数学 2014-08-07 Alberto Bressan , Fabio S. Priuli

This paper designs a distributed stochastic annealing algorithm for non-convex cooperative aggregative games, whose agents' cost functions not only depend on agents' own decision variables but also rely on the sum of agents' decision…

最优化与控制 · 数学 2022-04-05 Yinghui Wang , Xiaoxue Geng , Guanpu Chen , Wenxiao Zhao
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