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We consider the existence and computational complexity of coalitional stability concepts based on social networks. Our concepts represent a natural and rich combinatorial generalization of a recent approach termed partition equilibrium. We…

计算机科学与博弈论 · 计算机科学 2010-12-08 Martin Hoefer , Michal Penn , Maria Polukarov , Alexander Skopalik , Berhold Vöcking

To verify the robustness of a program or protocol, it is common in the computer science community to rely on the theoretical framework of game theory. In particular, if one seeks to enforce a desired property, or specification, despite an…

计算机科学与博弈论 · 计算机科学 2026-05-20 Léonard Brice

The model of congestion games is widely used to analyze games related to traffic and communication. A central property of these games is that they are potential games and hence posses a pure Nash equilibrium. In reality it is often the case…

计算机科学与博弈论 · 计算机科学 2011-11-17 Sergey Kuniavsky , Rann Smorodinsky

We consider the provision of public goods on networks of strategic agents. We study different effort outcomes of these network games, namely, the Nash equilibria, Pareto efficient effort profiles, and semi-cooperative equilibria (effort…

计算机科学与博弈论 · 计算机科学 2016-05-20 Parinaz Naghizadeh , Mingyan Liu

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

Computing equilibria of games is a central task in computer science. A large number of results are known for \emph{Nash equilibrium} (NE). However, these can be adopted only when coalitions are not an issue. When instead agents can form…

计算机科学与博弈论 · 计算机科学 2017-11-20 Nicola Gatti , Marco Rocco , Tuomas Sandholm

We study equilibrium concepts in non-cooperative games under uncertainty where both beliefs and mixed strategies are represented by non-additive measures (capacities). In contrast to the classical Nash framework based on additive…

计算机科学与博弈论 · 计算机科学 2026-03-06 Taras Radul

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

In this note, we prove the existence of an equilibrium concept, dubbed conditional strategy equilibrium, for non-cooperative games in which a strategy of a player is a function from the other players' actions to her own actions. We study…

理论经济学 · 经济学 2022-05-09 Lorenzo Bastianello , Mehmet S. Ismail

Computational aspects of solution notions such as Nash equilibrium have been extensively studied, including settings where the ultimate goal is to find an equilibrium that possesses some additional properties. Furthermore, in order to…

计算复杂性 · 计算机科学 2023-05-09 Bruce M. Kapron , Koosha Samieefar

We study coalition structure formation with intra and inter-coalition externalities in the introduced family of nested non-cooperative simultaneous finite games. A non-cooperative game embeds a coalition structure formation mechanism, and…

计算机科学与博弈论 · 计算机科学 2021-07-05 Dmitry Levando

We consider a multi-player non-zero-sum turn-based game (abbreviated as multi-player game) on a finite directed graph. A secure equilibrium (SE) is a strategy profile in which no player has the incentive to deviate from the strategy because…

计算机科学与博弈论 · 计算机科学 2025-09-03 Hiroki Mizuno , Yoshiaki Takata , Hiroyuki Seki

Due to the lack of coordination, it is unlikely that the selfish players of a strategic game reach a socially good state. A possible way to cope with selfishness is to compute a desired outcome (if it is tractable) and impose it. However…

计算机科学与博弈论 · 计算机科学 2010-12-20 Bruno Escoffier , Laurent Gourvès , Jérôme Monnot

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

In a society of multiple individuals, if everybody is only interested in maximizing his own payoff, will there exist any equilibrium for the society? John Nash proved more than 50 years ago that an equilibrium always exists such that nobody…

计算机科学与博弈论 · 计算机科学 2009-01-26 Xiaofei Huang

A growing body of literature in networked systems research relies on game theory and mechanism design to model and address the potential lack of cooperation between self-interested users. Most game-theoretic models applied to system…

计算机科学与博弈论 · 计算机科学 2007-05-23 Nicolas Christin , Jens Grossklags , John Chuang

We develop a general game-theoretic framework for reasoning about strategic agents performing possibly costly computation. In this framework, many traditional game-theoretic results (such as the existence of a Nash equilibrium) no longer…

计算机科学与博弈论 · 计算机科学 2014-12-10 Joseph Y. Halpern , Rafael Pass

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

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 consider solutions of normal form games that are invariant under strategic equivalence. We consider additional properties that can be expected (or be desired) from a solution of a game, and we observe the following: - Even the weakest…

计算机科学与博弈论 · 计算机科学 2014-02-24 Yakov Babichenko
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