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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

We explore a broad class of values for cooperative games in characteristic function form, known as \emph{compromise values\/}. These values efficiently allocate payoffs by linearly combining well-specified upper and lower bounds on payoffs.…

Theoretical Economics · Economics 2025-10-15 Robert P. Gilles , René van den Brink

This paper extends the theory of subset team games, a generalization of cooperative game theory requiring a payoff function that is defined for all subsets of players. This subset utility is used to define both altruistic and selfish…

Computer Science and Game Theory · Computer Science 2009-07-15 Elisha Peterson

Consider a cost-sharing game with players of different contribution to the total cost: an example might be an insurance company calculating premiums for a population of mixed-risk individuals. Two natural and competing notions of fairness…

Computer Science and Game Theory · Computer Science 2021-12-02 Kate Donahue , Solon Barocas

The basic problem in the cooperation theory is to justify the cooperation. Here we propose a new approach, where players are driven by their altruism to cooperate or not. The probability of cooperation depends also on the co-player's…

Physics and Society · Physics 2015-05-13 Krzysztof Kulakowski , Przemyslaw Gawronski

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

Incomplete cooperative games generalise the classical model of cooperative games by omitting the values of some of the coalitions. This allows to incorporate uncertainty into the model and study the underlying games as well as possible…

Computer Science and Game Theory · Computer Science 2025-10-07 Martin Černý , Jan Bok , David Hartman , Milan Hladík

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

This study proposes a novel solution concept--the w-value--for cooperative games with public externalities. The w-value is axiomatically founded on three principles: Pareto Optimality (PO), Market Equilibrium (ME), and Fiscal Balance (FB),…

Theoretical Economics · Economics 2025-12-04 Juanjuan Fan , Ying Wang

Coalition Logic is an important logic in logical studies of strategic reasoning, whose models are concurrent game models. In this paper, first, we systematically discuss three assumptions of concurrent game models and argue that they are…

Logic in Computer Science · Computer Science 2025-09-12 Yinfeng Li , Fengkui Ju

When the performance of a team of agents exceeds our expectations or fall short of them, we often explain this by saying that there was some synergy in the team---either positive (the team exceeded our expectations) or negative (they fell…

Computer Science and Game Theory · Computer Science 2014-04-14 Talal Rahwan , Tomasz Michalak , Michael Wooldridge

Teamwork is vital in many settings, and it is socially beneficial for teams to cooperate in some situations (``good games'') and not in others (``bad games;'' e.g., those that allow for corruption). A team's cooperation in any given game…

Theoretical Economics · Economics 2026-02-17 Jonathan Bendor , Lukas Bolte , Nicole Immorlica , Matthew O. Jackson

Conventional noncooperative game theory hypothesizes that the joint strategy of a set of players in a game must satisfy an "equilibrium concept". All other joint strategies are considered impossible; the only issue is what equilibrium…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 David H. Wolpert

A cooperative player invests effort into a common venture without knowing the partner's intention in advance. But this strategy can be implemented in various ways when a player is involved in different games simultaneously. Interestingly,…

Physics and Society · Physics 2021-07-14 Hsuan-Wei Lee , Colin Cleveland , Attila Szolnoki

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…

Combinatorics · Mathematics 2020-10-13 Tomáš Kroupa

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…

Computer Science and Game Theory · Computer Science 2011-07-19 Paraskevas V. Lekeas , Giorgos Stamatopoulos

In multiplayer games with sequential decision-making, self-interested players form dynamic coalitions to achieve most-preferred temporal goals beyond their individual capabilities. We introduce a novel procedure to synthesize strategies…

Computer Science and Game Theory · Computer Science 2025-01-31 A. Kaan Ata Yilmaz , Abhishek Kulkarni , Ufuk Topcu

Over the years, numerous experiments have been accumulated to show that cooperation is not casual and depends on the payoffs of the game. These findings suggest that humans have attitude to cooperation by nature and the same person may act…

Computer Science and Game Theory · Computer Science 2013-09-11 Valerio Capraro

The present study explores a problem that can be resolved by employing the notion of a partially defined cooperative game, yet cannot by using a restricted game. The following situation is considered: First, it is assumed that the worth of…

Computer Science and Game Theory · Computer Science 2025-11-27 Satoshi Masuya

As Aumann stated, cooperation and non-cooperation are different ways of viewing the same game, with the main difference being whether players can reach a binding cooperative agreement. In the real world, many games often coexist competition…

Computer Science and Game Theory · Computer Science 2025-11-25 Xiang Shuwen , Luo Enquan , Yang Yanlong