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Modern applications require robots to comply with multiple, often conflicting rules and to interact with the other agents. We present Posetal Games as a class of games in which each player expresses a preference over the outcomes via a…

In this short note we study a class of multi-player, turn-based games with deterministic state transitions and reachability / safety objectives (this class contains as special cases "classic" two-player reachability and safety games as well…

计算机科学与博弈论 · 计算机科学 2018-10-05 Athanasios Kehagias

Nash equilibrium is perhaps the best-known solution concept in game theory. Such a solution assigns a strategy to each player which offers no incentive to unilaterally deviate. While a Nash equilibrium is guaranteed to always exist, the…

计算机科学与博弈论 · 计算机科学 2025-04-29 David Sychrovský , Christopher Solinas , Revan MacQueen , Kevin Wang , James R. Wright , Nathan R. Sturtevant , Michael Bowling

A brief review is given of the minority game, an idealized model stimulated by a market of speculative agents, and its complex many-body behaviour. Particular consideration is given to analytic results for the model rather than discussions…

无序系统与神经网络 · 物理学 2009-11-11 David Sherrington

We study a very general class of games --- multi-dimensional aggregative games --- which in particular generalize both anonymous games and weighted congestion games. For any such game that is also large, we solve the equilibrium selection…

数据结构与算法 · 计算机科学 2015-02-26 Rachel Cummings , Michael Kearns , Aaron Roth , Zhiwei Steven Wu

Drawing intuition from a (physical) hydraulic system, we present a novel framework, constructively showing the existence of a strong Nash equilibrium in resource selection games (i.e., asymmetric singleton congestion games) with nonatomic…

计算机科学与博弈论 · 计算机科学 2016-06-07 Yannai A. Gonczarowski , Moshe Tennenholtz

Many interactions result in a socially suboptimal equilibrium, or in a non-equilibrium state, from which arriving at an equilibrium through simple dynamics can be impossible of too long. Aiming to achieve a certain equilibrium, we persuade,…

计算机科学与博弈论 · 计算机科学 2023-12-07 Gleb Polevoy , Jonas Schweichhart

Multiplayer games with selfish agents naturally occur in the design of distributed and embedded systems. As the goals of selfish agents are usually neither equivalent nor antagonistic to each other, such games are non zero-sum games. We…

计算机科学与博弈论 · 计算机科学 2012-12-19 Thomas Brihaye , Julie De Pril , Sven Schewe

We propose a general class of symmetric games called position-optimization games. Given a probability distribution $Q$ over a set of targets $\mathcal{Y}$, the $n$ players each choose a position in a space $\mathcal{X}$. A player's utility…

计算机科学与博弈论 · 计算机科学 2026-02-18 Rafael Frongillo , Melody Hsu , Mary Monroe , Anish Thilagar

In resource contribution games, a class of non-cooperative games, the players want to obtain a bundle of resources and are endowed with bags of bundles of resources that they can make available into a common for all to enjoy. Available…

计算机科学与博弈论 · 计算机科学 2024-04-01 Nicolas Troquard

A quantum version of the Minority game for an arbitrary number of agents is considered. It is known that when the number of agents is odd, quantizing the game produces no advantage to the players, but for an even number of agents new Nash…

量子物理 · 物理学 2009-11-11 Adrian P. Flitney , Lloyd C. L. Hollenberg

We describe a social game that we designed for encouraging energy efficient behavior amongst building occupants with the aim of reducing overall energy consumption in the building. Occupants vote for their desired lighting level and win…

Multi-leader multi-follower games are a class of hierarchical games in which a collection of leaders compete in a Nash game constrained by the equilibrium conditions of another Nash game amongst the followers. The resulting equilibrium…

最优化与控制 · 数学 2014-08-27 Ankur A. Kulkarni , Uday V. Shanbhag

We study a static game played by a finite number of agents, in which agents are assigned independent and identically distributed random types and each agent minimizes its objective function by choosing from a set of admissible actions that…

概率论 · 数学 2017-02-08 Daniel Lacker , Kavita Ramanan

This paper presents a general closed graph property for (randomized strategy) Nash equilibrium correspondence in large games. In particular, we show that for any large game with a convergent sequence of fiinite-player games, the limit of…

最优化与控制 · 数学 2024-10-30 Enxian Chen , Bin Wu , Hanping Xu

A brief review is given of the minority game, an idealized model of a market of speculative agents, and its complex many-body behaviour. Particular consideration is given to the consequences and implications of correlations between…

无序系统与神经网络 · 物理学 2009-11-10 David Sherrington , Tobias Galla

We study the issues of existence and inefficiency of pure Nash equilibria in linear congestion games with altruistic social context, in the spirit of the model recently proposed by de Keijzer {\em et al.} \cite{DSAB13}. In such a framework,…

计算机科学与博弈论 · 计算机科学 2013-08-16 Vittorio Bilò

It is frequently suggested that predictions made by game theory could be improved by considering computational restrictions when modeling agents. Under the supposition that players in a game may desire to balance maximization of payoff with…

计算机科学与博弈论 · 计算机科学 2015-03-13 Hubie Chen

The theory of mean field games is a tool to understand noncooperative dynamic stochastic games with a large number of players. Much of the theory has evolved under conditions ensuring uniqueness of the mean field game Nash equilibrium.…

最优化与控制 · 数学 2019-03-19 Bruce Hajek , Michael Livesay

In the original Evolutionary Minority Game, a segregation into two populations with opposing preferences is observed under many circumstances. We show that this segregation becomes more pronounced and more robust if the dynamics are changed…

无序系统与神经网络 · 物理学 2009-11-07 Richard Metzler , Christian Horn