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We study stationary mean field games with singular controls in which the representative player interacts with a long-time weighted average of the population through a discounted and an ergodic performance criterion. This class of games…

最优化与控制 · 数学 2025-09-23 Haoyang Cao , Jodi Dianetti , Giorgio Ferrari

An evolutionarily stable strategy (ESS) was originally defined as a static concept but later given a dynamic characterization. A well known theorem in evolutionary game theory says that an ESS is an attractor of replicator dynamics but not…

量子物理 · 物理学 2007-05-23 Azhar Iqbal , A. H. Toor

Motivated by the recent applications of game-theoretical learning techniques to the design of distributed control systems, we study a class of control problems that can be formulated as potential games with continuous action sets, and we…

最优化与控制 · 数学 2014-12-03 Steven Perkins , Panayotis Mertikopoulos , David S. Leslie

We examine sequential equilibrium in the context of computational games, where agents are charged for computation. In such games, an agent can rationally choose to forget, so issues of imperfect recall arise. In this setting, we consider…

计算机科学与博弈论 · 计算机科学 2014-12-22 Joseph Y. Halpern , Rafael Pass

In this paper, we consider continuous-time semi-decentralized dynamics for the equilibrium computation in a class of aggregative games. Specifically, we propose a scheme where decentralized projected-gradient dynamics are driven by an…

最优化与控制 · 数学 2018-03-29 Claudio De Persis , Sergio Grammatico

For cheap-talk games with a binary state space in which the sender has state-independent preferences, we characterize equilibria that are robust to introducing slight state-dependence on the side of the sender. Not all equilibria are…

理论经济学 · 经济学 2024-03-18 Jan-Henrik Steg , Elshan Garashli , Michael Greinecker , Christoph Kuzmics

We characterize Nash equilibrium by postulating coherent behavior across varying games. Nash equilibrium is the only solution concept that satisfies the following axioms: (i) strictly dominant actions are played with positive probability,…

理论经济学 · 经济学 2024-07-02 Florian Brandl , Felix Brandt

We study the existence of different notions of value in two-person zero-sum repeated games where the state evolves and players receive signals. We provide some examples showing that the limsup value (and the uniform value) may not exist in…

最优化与控制 · 数学 2016-01-08 Hugo Gimbert , Jérôme Renault , Sylvain Sorin , Xavier Venel , Wiesław Zielonka

A solution concept that is a refinement of Nash equilibria selects for each finite game a nonempty collection of closed and connected subsets of Nash equilibria as solutions. We impose three axioms for such solution concepts. The axiom of…

理论经济学 · 经济学 2025-04-24 Srihari Govindan , Robert B. Wilson

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 2024-02-14 Léonard Brice , Marie van den Bogaard , Jean-François Raskin

Which equilibria will arise in signaling games depends on how the receiver interprets deviations from the path of play. We develop a micro-foundation for these off-path beliefs, and an associated equilibrium refinement, in a model where…

经济学 · 定量金融 2018-08-03 Drew Fudenberg , Kevin He

The paper is concerned with a two-player nonzero-sum differential game in the case when players are informed about the current position. We consider the game in control with guide strategies first proposed by Krasovskii and Subbotin. The…

最优化与控制 · 数学 2013-06-11 Yurii Averboukh

Equilibrium notions for games with unawareness in the literature cannot be interpreted as steady-states of a learning process because players may discover novel actions during play. In this sense, many games with unawareness are…

计算机科学与博弈论 · 计算机科学 2017-07-28 Burkhard C. Schipper

We study a model of strategic coordination based on a class of games with incomplete information known as Global Games. Under the assumption of Poisson-distributed signals and a Gamma prior distribution on state of the system, we…

系统与控制 · 电气工程与系统科学 2025-07-02 Marcos M. Vasconcelos , Behrouz Touri

We consider the dynamics, existence and stability of the equilibrium states for large populations of individuals who can play various types of non--cooperative games. The players imitate the most attractive strategies, and the choice is…

适应与自组织系统 · 物理学 2012-04-02 Tadeusz Platkowski , Jan Zakrzewski

We consider finite-horizon and infinite-horizon versions of a dynamic game with $N$ selfish players who observe their types privately and take actions that are publicly observed. Players' types evolve as conditionally independent Markov…

最优化与控制 · 数学 2018-03-20 Deepanshu Vasal , Abhinav Sinha , Achilleas Anastasopoulos

We study games with finitely many participants, each having finitely many choices. We consider the following categories of participants: (I) populations: sets of nonatomic agents, (II) atomic splittable players, (III) atomic non splittable…

最优化与控制 · 数学 2015-10-22 Sylvain Sorin , Cheng Wan

We study linear quadratic dynamic games where players are uncertain about each other's control policies or goals and consequently seek to be strategically robust. Building on recent work on strategically robust and risk-averse game theory,…

最优化与控制 · 数学 2026-04-27 Boris Velasevic , Nicolas Lanzetti , Eric Mazumdar

We study strategic interaction in data-driven games where players face uncertainty about payoff distributions inferred from finite samples. To model calibrated attitudes toward such uncertainty, we formulate distributionally robust games…

计算机科学与博弈论 · 计算机科学 2026-05-28 Bharat Gangwani , Arunesh Sinha

Normal-form proper equilibrium, introduced by Myerson as a refinement of normal-form perfect equilibrium, occupies a distinctive position in the equilibrium analysis of extensive-form games because its more stringent perturbation structure…

计算机科学与博弈论 · 计算机科学 2026-02-12 Yuqing Hou , Yiyin Cao , Chuangyin Dang