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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…

Computer Science and Game Theory · Computer Science 2014-07-22 Paraskevas V. Lekeas , Giorgos Stamatopoulos

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…

Computer Science and Game Theory · Computer Science 2026-03-03 Michel Grabisch , Silvia Lorenzini

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…

Computer Science and Game Theory · Computer Science 2012-02-20 Yoram Bachrach , Reshef Meir , Michal Feldman , Moshe Tennenholtz

We consider dynamic cooperative games, where the worth of coalitions varies over time according to the history of allocations. When defining the core of a dynamic game, we allow the possibility for coalitions to deviate at any time and…

Computer Science and Game Theory · Computer Science 2017-04-04 Ehud Lehrer , Marco Scarsini

We investigate the impact of coalition formation on the efficiency of Cournot games where producers face uncertainties. In particular, we study a market model where firms must determine their output before an uncertain production capacity…

Computer Science and Game Theory · Computer Science 2017-08-15 Baosen Zhang , Ramesh Johari , Ram Rajagopal

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…

Computer Science and Game Theory · Computer Science 2014-01-17 Georgios Chalkiadakis , Edith Elkind , Evangelos Markakis , Maria Polukarov , Nicholas Robert Jennings

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…

Computer Science and Game Theory · Computer Science 2014-07-16 Yair Zick , Georgios Chalkiadakis , Edith Elkind , Evangelos Markakis

The core is a central solution concept in cooperative game theory, defined as the set of feasible allocations or payments such that no subset of agents has incentive to break away and form their own subgroup or coalition. However, it has…

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…

Computer Science and Game Theory · Computer Science 2009-09-29 Vincent Conitzer , Tuomas Sandholm

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…

Computer Science and Game Theory · Computer Science 2013-04-04 Michel Grabisch

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…

Computer Science and Game Theory · Computer Science 2026-05-05 Paraskevas V. Lekeas , Giorgos Stamatopoulos

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…

Optimization and Control · Mathematics 2018-07-26 Jan Bok , Milan Hladík

In Network cooperative games, due to computational complexity issues, agents are not able to base their behavior on the "whole network status" but have to follow certain "beliefs" as to how it is in their strategic interest to act. This…

Computer Science and Game Theory · Computer Science 2012-02-21 Paraskevas V. Lekeas

Cooperative game theory studies how to allocate the joint value generated by a set of players. These games are typically analyzed using the characteristic function form with transferable utility, which represents the value attainable by…

Theoretical Economics · Economics 2025-12-18 Ata Atay , Christian Trudeau

Concurrent multi-player mean-payoff games are important models for systems of agents with individual, non-dichotomous preferences. Whilst these games have been extensively studied in terms of their equilibria in non-cooperative settings,…

Computer Science and Game Theory · Computer Science 2023-11-28 Julian Gutierrez , Anthony W. Lin , Muhammad Najib , Thomas Steeples , Michael Wooldridge

The matching game is a cooperative game where the value of every coalition is the maximum revenue of players in the coalition can make by forming pairwise disjoint partners. The multiple partners matching game generalizes the matching game…

Computer Science and Game Theory · Computer Science 2021-10-26 Han Xiao , Tianhang Lu , Qizhi Fang

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…

Computer Science and Game Theory · Computer Science 2024-12-05 Filip Úradník , David Sychrovský , Jakub Černý , Martin Černý

In this paper, we consider a generalization of cooperative games to the case where a coalition can distribute the earned utility not only among its members but also to other players. In particular, we consider an example where coalitions…

Combinatorics · Mathematics 2025-11-05 Mikhail V. Bludov , Oleg R. Musin

An oligopoly is a market in which the price of goods is controlled by a few firms. Cournot introduced the simplest game-theoretic model of oligopoly, where profit-maximizing behavior of each firm results in market failure. Furthermore, when…

Physics and Society · Physics 2025-12-09 Masahiko Ueda , Shoma Yagi , Genki Ichinose

The core is a dominant solution concept in economics and cooperative game theory; it is predominantly used for profit, equivalently cost or utility, sharing. This paper demonstrates the versatility of this notion by proposing a completely…

Theoretical Economics · Economics 2023-09-07 Vijay V. Vazirani
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