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In this paper we extend the equal division and the equal surplus division values for transferable utility cooperative games to the more general setup of transferable utility cooperative games with a priori unions. In the case of the equal…

计算机科学与博弈论 · 计算机科学 2024-01-31 J. M. Alonso-Meijide , J. Costa , I. García-Jurado , J. C. Gonçalves-Dosantos

In this paper we extend the equal division and the equal surplus division values for transferable utility cooperative games to the more general setup of transferable utility cooperative games with level structures. In the case of the equal…

计算机科学与博弈论 · 计算机科学 2024-01-31 J. M. Alonso-Meijide , J. Costa , I. García-Jurado , J. C. Gonçalves-Dosantos

This paper addresses the optimization problem to maximize the total costs that can be shared among a group of agents, while maintaining stability in the sense of the core constraints of a cooperative transferable utility game, or TU game.…

计算机科学与博弈论 · 计算机科学 2023-08-22 Rong Zou , Boyue Lin , Marc Uetz , Matthias Walter

This paper considers a dynamic game with transferable utilities (TU), where the characteristic function is a continuous-time bounded mean ergodic process. A central planner interacts continuously over time with the players by choosing the…

计算机科学与博弈论 · 计算机科学 2012-04-24 Dario Bauso , Puduru Viswanadha Reddy , Tamer Basar

In this paper, we consider a sequence of transferable utility (TU) coalitional games where the coalitional values are unknown but vary within certain bounds. As a solution to the resulting family of games, we formalise the notion of "robust…

系统与控制 · 电气工程与系统科学 2020-10-20 Aitazaz Ali Raja , Sergio Grammatico

Coalitional games serve the purpose of modeling payoff distribution problems in scenarios where agents can collaborate by forming coalitions in order to obtain higher worths than by acting in isolation. In the classical Transferable Utility…

计算机科学与博弈论 · 计算机科学 2014-01-17 Gianluigi Greco , Enrico Malizia , Luigi Palopoli , Francesco Scarcello

We introduce and study the axiom of null player neutrality in the context of cooperative games with transferable utility (TU-games). This axiom weakens the classical coalitional strategic equivalence: rather than requiring that augmenting a…

理论经济学 · 经济学 2026-05-20 J. C. Gonçalves-Dosantos , R. Martínez , J. Sánchez-Soriano

In networked communications nodes choose among available actions and benefit from exchanging information through edges, while continuous technological progress fosters system functionings that increasingly often rely on cooperation. Growing…

计算机科学与博弈论 · 计算机科学 2018-09-10 Giovanni Rossi

As wireless communication becomes an ever-more evolving and pervasive part of the existing world, system capacity and Quality of Service (QoS) provisioning are becoming more critically evident. In order to improve system capacity and QoS,…

网络与互联网体系结构 · 计算机科学 2015-05-18 Bikramjit Singh

In cooperative games with transferable utilities, the Shapley value is an extreme case of marginalism while the Equal Division rule is an extreme case of egalitarianism. The Shapley value does not assign anything to the non-productive…

理论经济学 · 经济学 2022-01-25 D. Choudhury , S. Borkotokey , Rajnish Kumar , Sudipta Sarangi

We introduce the component-wise egalitarian Myerson value for network games. This new value being a convex combination of the Myerson value and the component-wise equal division rule is a player-based allocation rule. In network games under…

理论经济学 · 经济学 2022-01-11 Surajit Borkotokey , Sujata Goala , Niharika Kakoty , Parishmita Boruah

We consider a sequence of transferable utility (TU) games where, at each time, the characteristic function is a random vector with realizations restricted to some set of values. The game differs from other ones in the literature on dynamic,…

最优化与控制 · 数学 2011-01-25 Dario Bauso , Angelia Nedić

In this paper, we study the egalitarian solution for games with discrete side payment, where the characteristic function is integer-valued and payoffs of players are integral vectors. The egalitarian solution, introduced by Dutta and Ray in…

计算机科学与博弈论 · 计算机科学 2020-03-24 Takafumi Otsuka

Several extensions of the equal division value and the equal surplus division value to the family of games with a priori unions are proposed in Alonso-Meijide et al. (2020) ``On egalitarian values for cooperative games with a priori…

计算机科学与博弈论 · 计算机科学 2024-02-01 J. C. Gonçalves-Dosantos , J. M. Alonso-Meijide

The problem of efficient sharing of a resource is nearly ubiquitous. Except for pure public goods, each agent's use creates a negative externality; often the negative externality is so strong that efficient sharing is impossible in the…

计算机科学与博弈论 · 计算机科学 2013-09-03 Mihaela van der Schaar , Yuanzhang Xiao , William Zame

Cooperation is fundamental for society's viability, as it enables the emergence of structure within heterogeneous groups that seek collective well-being. However, individuals are inclined to defect in order to benefit from the group's…

多智能体系统 · 计算机科学 2026-02-10 Yao-hua Franck Xu , Tayeb Lemlouma , Arnaud Braud , Jean-Marie Bonnin

People, robots, and companies mostly divide time and effort among projects, and \defined{shared effort games} model people investing resources in public endeavors and sharing the generated values. In linear $\theta$ sharing (effort) games,…

计算机科学与博弈论 · 计算机科学 2026-05-26 Gleb Polevoy , Stojan Trajanovski , Mathijs de Weerdt

It is well known that a non-cooperative game may have multiple equilibria. In this paper we consider the efficiency of games, measured by the ratio between the aggregate payoff over all Nash equilibria and that over all admissible controls.…

计算机科学与博弈论 · 计算机科学 2025-08-20 Jianfeng Zhang

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…

计算机科学与博弈论 · 计算机科学 2025-11-25 Xiang Shuwen , Luo Enquan , Yang Yanlong

We study the proportional division value in TU-games, which distributes the worth of the grand coalition in proportion to each player's stand-alone worth. Focusing on fixed-population consistency, we characterize the proportional division…

理论经济学 · 经济学 2025-11-10 Yukihiko Funaki , Yukio Koriyama , Satoshi Nakada , Yuki Tamura
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