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This paper is devoted to the study of the asymptotic behavior of solutions to multi-order fractional cooperative systems. First, we demonstrate the boundedness of solutions to fractional-order systems under certain conditions imposed on the…

Dynamical Systems · Mathematics 2024-10-21 L. V. Thinh , H. T. Tuan

Cooperative games provide a framework to study cooperation among self-interested agents. They offer a number of solution concepts describing how the outcome of the cooperation should be shared among the players. Unfortunately, computational…

Computer Science and Game Theory · Computer Science 2017-11-28 Ayumi Igarashi , Rani Izsak , Edith Elkind

We consider fractional linear programming production games for the single-objective and multiobjective cases. We use the method of Chakraborty and Gupta (2002) in order to transform the fractional linear programming problems into linear…

Optimization and Control · Mathematics 2013-03-29 Monica Patriche

Hedonic games are an archetypal problem in coalition formation, where a set of selfish agents want to partition themselves into stable coalitions. In this work, we focus on two natural constraints on the possible outcomes. First, we require…

Computer Science and Game Theory · Computer Science 2026-03-24 Foivos Fioravantes , Harmender Gahlawat , Nikolaos Melissinos , Šimon Schierreich

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

Cooperation is of utmost importance to society as a whole, but is often challenged by individual self-interests. While game theory has studied this problem extensively, there is little work on interactions within and across groups with…

Physics and Society · Physics 2010-10-14 Dirk Helbing , Anders Johansson

We show that any cooperative game can be represented by an assignment of costly facilities to players, in which it is intuitively obvious how to allocate the total cost in an equitable manner. This equitable solution turns out to be the…

Theoretical Economics · Economics 2024-01-19 Pradeep Dubey

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…

Optimization and Control · Mathematics 2016-12-08 Dmitry V. Levando

The public goods game is one of the most famous models for studying the evolution of cooperation in sizable groups. The multiplication factor in this game can characterize the investment return from the public good, which may be variable…

Physics and Society · Physics 2012-10-26 Xiaojie Chen , Yongkui Liu , Yonghui Zhou , Long Wang , Matjaz Perc

We introduce a framework for studying the effect of cooperation on the quality of outcomes in utility games. Our framework is a coalitional analog of the smoothness framework of non-cooperative games. Coalitional smoothness implies bounds…

Computer Science and Game Theory · Computer Science 2013-07-10 Yoram Bachrach , Vasilis Syrgkanis , Eva Tardos , Milan Vojnovic

In this paper, we introduce a game-theoretical formulation for a specific form of collaborative industrial relations called "Industrial Symbiotic Relation (ISR) games" and provide a formal framework to model, verify, and support…

Multiagent Systems · Computer Science 2018-02-06 Vahid Yazdanpanah , Devrim Murat Yazan

Altruistic cooperation is costly yet socially desirable. As a result, agents struggle to learn cooperative policies through independent reinforcement learning (RL). Indirect reciprocity, where agents consider their interaction partner's…

Multiagent Systems · Computer Science 2024-08-09 Martin Smit , Fernando P. Santos

Economic experiments reveal that humans value cooperation and fairness. Punishing unfair behavior is therefore common, and according to the theory of strong reciprocity, it is also directly related to rewarding cooperative behavior.…

Physics and Society · Physics 2013-11-28 Attila Szolnoki , Matjaz Perc

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

The Ultimatum Game is a famous sequential, two-player game intensely studied in Game Theory. A proposer can offer a certain fraction of some amount of a valuable good, for example, money. A responder can either accept, in which case the…

Physics and Society · Physics 2015-02-10 Stefan Schuster

We consider manipulations in the context of coalitional games, where a coalition aims to increase the total payoff of its members. An allocation rule is immune to coalitional manipulation if no coalition can benefit from internal…

Theoretical Economics · Economics 2023-11-01 Christian Basteck , Frank Huettner

We study a class of probabilistic cooperative games which can be treated as an extension of the classical cooperative games with transferable utilities. The coalitions have an exogenous probability of being realized. This probability…

Theoretical Economics · Economics 2023-08-08 Surajit Borkotokey , Sujata Gowala , Rajnish Kumar

Classical game theory is a powerful framework to analyze the strategic interactions among rational players. However, in many real-life scenarios, players choose actions based on their inherent natural tendencies rather than deliberate…

Optimization and Control · Mathematics 2026-02-03 Raghupati Vyas , Khushboo Agarwal , Konstantin Avrachenkov , Veeraruna Kavitha

Most of previous studies concerning the Public Goods Game assume either participation is unconditional or the number of actual participants in a competitive group changes over time. How the fixed group size, prescribed by social…

Physics and Society · Physics 2015-05-13 Te Wu , Feng Fu , Long Wang

Motivated by the fact that the worth of a coalition may depend on the order in which agents arrive, Nowak and Radzik (1994) (NR) introduced cooperative games with generalized characteristic functions. We study such temporal cooperative…

Computer Science and Game Theory · Computer Science 2026-03-17 Ashwin Goyal , Drashthi Doshi , Swaprava Nath
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