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In the usual models of cooperative game theory, the outcome of a coalition formation process is either the grand coalition or a coalition structure that consists of disjoint coalitions. However, in many domains where coalitions are…

计算机科学与博弈论 · 计算机科学 2014-01-17 Georgios Chalkiadakis , Edith Elkind , Evangelos Markakis , Maria Polukarov , Nicholas Robert Jennings

Cooperative interval game is a cooperative game in which every coalition gets assigned some closed real interval. This models uncertainty about how much the members of a coalition get for cooperating together. In this paper we study…

计算机科学与博弈论 · 计算机科学 2018-11-12 Jan Bok

We analyze cooperative Cournot games with boundedly rational firms. Due to cogni- tive constraints, the members of a coalition cannot accurately predict the coalitional structure of the non-members. Thus, they compute their value using…

计算机科学与博弈论 · 计算机科学 2014-07-22 Paraskevas V. Lekeas , Giorgos Stamatopoulos

A generalized model of games is proposed, in which cooperative games and non-cooperative games are special cases. Some games that are neither cooperative nor non-cooperative can be expressed and analyzed. The model is based on relationships…

计算机科学与博弈论 · 计算机科学 2016-10-10 Jiawei Li

We revisit games in partition function form, i.e. cooperative games where the payoff of a coalition depends on the partition of the entire set of players. We assume that each coalition computes its worth having probabilistic beliefs over…

计算机科学与博弈论 · 计算机科学 2026-05-05 Paraskevas V. Lekeas , Giorgos Stamatopoulos

Coalition formation is a key problem in automated negotiation among self-interested agents, and other multiagent applications. A coalition of agents can sometimes accomplish things that the individual agents cannot, or can do things more…

计算机科学与博弈论 · 计算机科学 2009-09-29 Vincent Conitzer , Tuomas Sandholm

Cooperative games model the allocation of profit from joint actions, following considerations such as stability and fairness. We propose the reliability extension of such games, where agents may fail to participate in the game. In the…

计算机科学与博弈论 · 计算机科学 2012-02-20 Yoram Bachrach , Reshef Meir , Michal Feldman , Moshe Tennenholtz

We analyze the core of a cooperative Cournot game. We assume that when contemplating a deviation, the members of a coalition assign positive probability over all possible coalition structures that the non-members can form. We show that when…

计算机科学与博弈论 · 计算机科学 2011-07-19 Paraskevas V. Lekeas , Giorgos Stamatopoulos

In cooperative games, the core is the most popular solution concept, and its properties are well known. In the classical setting of cooperative games, it is generally assumed that all coalitions can form, i.e., they are all feasible. In…

计算机科学与博弈论 · 计算机科学 2013-04-04 Michel Grabisch

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 cooperative game theory, the social configurations of players are modeled by balanced collections. The Bondareva-Shapley theorem, perhaps the most fundamental theorem in cooperative game theory, characterizes the existence of solutions…

计算机科学与博弈论 · 计算机科学 2024-06-25 Dylan Laplace Mermoud , Pierre Popoli

Cooperative interval games are a generalized model of cooperative games in which the worth of every coalition corresponds to a closed interval representing the possible outcomes of its cooperation. Selections are all possible outcomes of…

最优化与控制 · 数学 2018-07-26 Jan Bok , Milan Hladík

The computation of a solution concept of a cooperative game usually employs values of all coalitions. However, in some applications, the values of some of the coalitions might be unknown due to high costs associated with their determination…

计算机科学与博弈论 · 计算机科学 2023-03-31 Martin Cerny , Michel Grabisch

We propose a coalition game model for the problem of communication for omniscience (CO). In this game model, the core contains all achievable rate vectors for CO with sum-rate being equal to a given value. Any rate vector in the core…

信息论 · 计算机科学 2015-11-02 Ni Ding , Chung Chan , Tie Liu , Rodney A. Kennedy , Parastoo Sadeghi

Cooperative game theory has diverse applications in contemporary artificial intelligence, including domains like interpretable machine learning, resource allocation, and collaborative decision-making. However, specifying a cooperative game…

计算机科学与博弈论 · 计算机科学 2024-12-05 Filip Úradník , David Sychrovský , Jakub Černý , Martin Černý

We consider a class of Nash games, termed as aggregative games, being played over a networked system. In an aggregative game, a player's objective is a function of the aggregate of all the players' decisions. Every player maintains an…

最优化与控制 · 数学 2016-06-10 Jayash Koshal , Angelia Nedić , Uday V. Shanbhag

The main stream of the literature in cooperative game theory considers games as being deterministic. In this survey, we review the main models incorporating uncertainty in cooperative games, starting from the seminal paper of Charnes and…

计算机科学与博弈论 · 计算机科学 2026-03-03 Michel Grabisch , Silvia Lorenzini

A solution concept on a class of transferable utility coalitional games is a multifunction satisfying given criteria of economic rationality. Every solution associates a set of payoff allocations with a coalitional game. This general…

组合数学 · 数学 2020-10-13 Tomáš Kroupa

In many multiagent scenarios, agents distribute resources, such as time or energy, among several tasks. Having completed their tasks and generated profits, task payoffs must be divided among the agents in some reasonable manner. Cooperative…

计算机科学与博弈论 · 计算机科学 2014-07-16 Yair Zick , Georgios Chalkiadakis , Edith Elkind , Evangelos Markakis

The work we present in this paper initiated the formal study of fractional hedonic games, coalition formation games in which the utility of a player is the average value he ascribes to the members of his coalition. Among other settings,…

计算机科学与博弈论 · 计算机科学 2017-05-30 Haris Aziz , Florian Brandl , Felix Brandt , Paul Harrenstein , Martin Olsen , Dominik Peters
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