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This paper revisits the well-studied \emph{optimal stopping} problem but within the \emph{large-population} framework. In particular, two classes of optimal stopping problems are formulated by taking into account the \emph{relative…

最优化与控制 · 数学 2022-06-08 Jianhui Huang , Tinghan Xie

We propose a game-theoretic framework that incorporates both incomplete information and general ambiguity attitudes on factors external to all players. Our starting point is players' preferences on payoff-distribution vectors, essentially…

经济学 · 定量金融 2017-04-04 Jian Yang

One of the contributions of this work is to formulate the problem of energy-efficient power control in multiple access channels (namely, channels which comprise several transmitters and one receiver) as a stochastic differential game. The…

网络与互联网体系结构 · 计算机科学 2013-05-14 François Mériaux , Samson Lasaulce , Hamidou Tembine

Understanding the evolutionary dynamics of reinforcement learning under multi-agent settings has long remained an open problem. While previous works primarily focus on 2-player games, we consider population games, which model the strategic…

多智能体系统 · 计算机科学 2020-06-30 Shuyue Hu , Chin-Wing Leung , Ho-fung Leung , Harold Soh

An analysis of several important aspects of competition or conflict in games, social choice and decision theory is presented. Inherent difficulties and complexities in cooperation are highlighted. These have over the years led to a certain…

最优化与控制 · 数学 2007-05-23 Elemér E Rosinger

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

This paper studies the resilience of second-order networked dynamical systems to strategic attacks. We discuss two widely used control laws, which have applications in power networks and formation control of autonomous agents. In the first…

最优化与控制 · 数学 2019-05-09 Mohammad Pirani , Joshua A. Taylor , Bruno Sinopoli

In recent work, semantic games of independence-friendly logic were studied in strategic form in terms of (mixed strategy) Nash equilibria. The class of strategic games of independence-friendly logic is contained in the class of win-loss,…

逻辑 · 数学 2014-01-21 Merlijn Sevenster

We present a unifying representation of computation as a two-player game between an \emph{Algorithm} and \emph{Nature}, grounded in domain theory and game theory. The Algorithm produces progressively refined approximations within a Scott…

计算复杂性 · 计算机科学 2025-11-04 Paul Alexander Bilokon

This paper elaborates on the effective field theory for the connectivity field previously introduced in ([7]). We demonstrate that dynamic interactions among connectivities induce modifications in the background state. These modifications…

生物物理 · 物理学 2023-12-01 Pierre Gosselin , Aïleen Lotz

Within the framework of Game Theory, contests study decision-making in those situations or conflicts when rewards depend on the relative rank between contenders rather than their absolute performance. By relying on the formalism of Tullock…

The interaction of competing agents is described by classical game theory. It is now well known that this can be extended to the quantum domain, where agents obey the rules of quantum mechanics. This is of emerging interest for exploring…

量子物理 · 物理学 2018-08-30 Azhar Iqbal , James M. Chappell , Derek Abbott

Animal behavior and evolution can often be described by game-theoretic models. Although in many situations, the number of players is very large, their strategic interactions are usually decomposed into a sum of two-player games. Only…

种群与进化 · 定量生物学 2007-05-23 Dominik Kaminski , Jacek Miekisz , Marcin Zaborowski

Game theory provides a general mathematical background to study the effect of pair interactions and evolutionary rules on the macroscopic behavior of multi-player games where players with a finite number of strategies may represent a wide…

物理与社会 · 物理学 2016-04-20 Gyorgy Szabo , Istvan Borsos

Mean field games are studied by means of the weak formulation of stochastic optimal control. This approach allows the mean field interactions to enter through both state and control processes and take a form which is general enough to…

概率论 · 数学 2015-04-09 Rene Carmona , Daniel Lacker

We develop a rigorous mathematical framework for quantum game theory applied to static 2x2 games, extending classical concepts to the quantum setting where players may employ arbitrary unitary operations (pure strategies) or probability…

量子物理 · 物理学 2026-05-18 Gloria Ferraris , Veronica Umanità

Whilst network coordination games and network anti-coordination games have received a considerable amount of attention in the literature, network games with coexisting coordinating and anti-coordinating players are known to exhibit more…

计算机科学与博弈论 · 计算机科学 2021-10-26 Laura Arditti , Giacomo Como , Fabio Fagnani , Martina Vanelli

Consider a set of agents who play a network game repeatedly. Agents may not know the network. They may even be unaware that they are interacting with other agents in a network. Possibly, they just understand that their payoffs depend on an…

理论经济学 · 经济学 2022-07-26 Pierpaolo Battigalli , Fabrizio Panebianco , Paolo Pin

The formal study of coalition formation in multi-agent systems is typically realized in the framework of hedonic games, which originate from economic theory. The main focus of this branch of research has been on the existence and the…

计算机科学与博弈论 · 计算机科学 2022-11-18 Felix Brandt , Martin Bullinger , Anaëlle Wilczynski

Learning processes in games explain how players grapple with one another in seeking an equilibrium. We study a natural model of learning based on individual gradients in two-player continuous games. In such games, the arguably natural…

计算机科学与博弈论 · 计算机科学 2020-11-10 Benjamin J. Chasnov , Daniel Calderone , Behçet Açıkmeşe , Samuel A. Burden , Lillian J. Ratliff