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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

Coordination games describe social or economic interactions in which the adoption of a common strategy has a higher payoff. They are classically used to model the spread of conventions, behaviors, and technologies in societies. Here we…

计算机科学与博弈论 · 计算机科学 2008-12-02 Andrea Montanari , Amin Saberi

To understand the emergence and sustainment of cooperative behavior in interacting collectives, we perform global convergence analysis for replicator dynamics of a large, well-mixed population of individuals playing a repeated snowdrift…

动力系统 · 数学 2019-10-10 Pouria Ramazi , Ming Cao

In various economic environments, people observe other people with whom they strategically interact. We can model such information-sharing relations as an information network, and the strategic interactions as a game on the network. When…

统计方法学 · 统计学 2019-11-27 Nathan Canen , Jacob Schwartz , Kyungchul Song

Microscopic strategy update rules play an important role in the evolutionary dynamics of cooperation among interacting agents on complex networks. Many previous related works only consider one \emph{fixed} rule, while in the real world,…

最优化与控制 · 数学 2023-11-27 Shengxian Wang , Weijia Yao , Ming Cao , Xiaojie Chen

Dynamics in a distributed system are self-stabilizing if they are guaranteed to reach a stable state regardless of how the system is initialized. Game dynamics are uncoupled if each player's behavior is independent of the other players'…

计算机科学与博弈论 · 计算机科学 2014-05-07 Aaron D. Jaggard , Neil Lutz , Michael Schapira , Rebecca N. Wright

We study the convergence time of the best response dynamics in player-specific singleton congestion games. It is well known that this dynamics can cycle, although from every state a short sequence of best responses to a Nash equilibrium…

计算机科学与博弈论 · 计算机科学 2008-12-18 Heiner Ackermann , Heiko Roeglin

Differential game logic (dGL) is a logic for specifying and verifying properties of hybrid games, i.e. games that combine discrete, continuous, and adversarial dynamics. Unlike hybrid systems, hybrid games allow choices in the system…

计算机科学中的逻辑 · 计算机科学 2015-11-20 André Platzer

We consider evolutionary games on a population whose underlying topology of interactions is determined by a binomial random graph $G(n,p)$. Our focus is on 2-player symmetric games with 2 strategies played between the incident members of…

组合数学 · 数学 2020-11-30 Jordan Chellig , Calina Durbac , Nikolaos Fountoulakis

We study decentralized equilibrium selection in stochastic games under severe information and communication constraints. In such settings, convergence to equilibrium alone is insufficient, as stochastic games typically admit many equilibria…

计算机科学与博弈论 · 计算机科学 2026-02-16 Seref Taha Kiremitci , Ahmed Said Donmez , Muhammed O. Sayin

Consider a system in which players at nodes of an underlying graph G repeatedly play Prisoner's Dilemma against their neighbors. The players adapt their strategies based on the past behavior of their opponents by applying the so-called…

离散数学 · 计算机科学 2008-12-08 Gabriel Istrate , Madhav V. Marathe , S. S. Ravi

In evolutionary game theory, repeated two-player games are used to study strategy evolution in a population under natural selection. As the evolution greatly depends on the interaction structure, there has been growing interests in studying…

计算机科学与博弈论 · 计算机科学 2011-02-21 Colin Cooper , Martin Dyer , Velumailum Mohanaraj

In this work we assess the role played by the dynamical adaptation of the interactions network, among agents playing Coordination Games, in reaching global coordination and in the equilibrium selection. Specifically, we analyze a…

物理与社会 · 物理学 2023-02-20 Miguel A. González Casado , Angel Sánchez , Maxi San Miguel

When people play a repeated game they usually try to anticipate their opponents' moves based on past observations, and then decide what action to take next. Behavioural economics studies the mechanisms by which strategic decisions are taken…

物理与社会 · 物理学 2012-04-20 Tobias Galla

Notion of strategy in game theory is static and presumably constructed before the game play. The static, pre-determined notion of strategies falls short analyzing perfect information games. Because, we, people, do not strategize as such…

计算机科学与博弈论 · 计算机科学 2011-07-26 Can Baskent

Evolutionary game dynamics in structured populations has been extensively explored in past decades. However, most previous studies assume that payoffs of individuals are fully determined by the strategic behaviors of interacting parties and…

种群与进化 · 定量生物学 2019-06-19 Qi Su , Lei Zhou , Long Wang

We consider multi-player games played on graphs, in which the players aim at fulfilling their own (not necessarily antagonistic) objectives. In the spirit of evolutionary game theory, we suppose that the players have the right to repeatedly…

计算机科学与博弈论 · 计算机科学 2019-10-04 Thomas Brihaye , Gilles Geeraerts , Marion Hallet , Benjamin Monmege , Bruno Quoitin

Evolutionary $2 \times 2$ games are studied with players located on a square lattice. During the evolution the randomly chosen neighboring players try to maximize their collective income by adopting a random strategy pair with a probability…

种群与进化 · 定量生物学 2010-08-23 Gyorgy Szabo , Attila Szolnoki , Melinda Varga , Livia Hanusovszky

Competition among cooperators, defectors, and loners is studied in an evolutionary prisoner's dilemma game with optional participation. Loners are risk averse i.e. unwilling to participate and rather rely on small but fixed earnings. This…

无序系统与神经网络 · 物理学 2009-11-07 Gyorgy Szabo , Christoph Hauert

Coordination games with explicit spatial or relational structure are of interest to economists, ecologists, sociologists, and others studying emergent global properties in collective behavior. When assemblies of individuals seek to…

动力系统 · 数学 2025-06-18 John S. McAlister , Nina H. Fefferman , Tadele A. Mengesha