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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…

Computer Science and Game Theory · Computer Science 2012-04-24 Dario Bauso , Puduru Viswanadha Reddy , Tamer Basar

We study a distributed allocation process where, repeatedly in time, every player renegotiates past allocations with neighbors and allocates new revenues. The average allocations evolve according to a doubly (over time and space) averaging…

Optimization and Control · Mathematics 2013-10-08 Dario Bauso , Giuseppe Notarstefano

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…

Systems and Control · Electrical Eng. & Systems 2020-10-20 Aitazaz Ali Raja , Sergio Grammatico

We are concerned with the stability of a coalitional game, i.e., a transferable-utility (TU) cooperative game. First, the concept of core can be weakened so that the blocking of changes is limited to only those with multilateral backings.…

Theoretical Economics · Economics 2023-04-24 Jian Yang

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…

Computer Science and Game Theory · Computer Science 2014-01-17 Gianluigi Greco , Enrico Malizia , Luigi Palopoli , Francesco Scarcello

The research on coalitional games has focused on how to share the reward among a coalition such that players are incentivised to collaborate together. It assumes that the (deterministic or stochastic) characteristic function is known in…

Computer Science and Game Theory · Computer Science 2019-10-28 Dengji Zhao , Yiqing Huang , Liat Cohen , Tal Grinshpoun

In the framework of transferable utility coalitional games, a scoring (characteristic) function determines the value of any subset/coalition of agents. Agents decide on both which coalitions to form and the allocations of the values of the…

Computer Science and Game Theory · Computer Science 2023-11-29 Aya Hamed , Jeff S. Shamma

We consider multi-agent coalitional games with uncertainty in the coalitional values. We provide a novel methodology to study the stability of the grand coalition in the case where each coalition constructs ambiguity sets for the (possibly)…

Optimization and Control · Mathematics 2023-09-06 George Pantazis , Barbara Franci , Sergio Grammatico , Kostas Margellos

In this paper we consider multi-agent coalitional games with uncertain value functions for which we establish distribution-free guarantees on the probability of allocation stability, i.e., agents do not have incentives to defect from the…

Optimization and Control · Mathematics 2022-06-24 George Pantazis , Filippo Fabiani , Filiberto Fele , Kostas Margellos

We initiate the study of game dynamics in the population protocol model: $n$ agents each maintain a current local strategy and interact in pairs uniformly at random. Upon each interaction, the agents play a two-person game and receive a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-21 Dan Alistarh , Krishnendu Chatterjee , Mehrdad Karrabi , John Lazarsfeld

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…

Computer Science and Game Theory · Computer Science 2018-09-10 Giovanni Rossi

Potential game is an emerging notion and framework for studying N-player games, especially with heterogeneous players. In this paper, we build an analytical framework for dynamic potential games. We prove that a game is a dynamic potential…

Optimization and Control · Mathematics 2024-09-09 Xin Guo , Yufei Zhang

In this paper we introduce the novel framework of distributionally robust games. These are multi-player games where each player models the state of nature using a worst-case distribution, also called adversarial distribution. Thus each…

Optimization and Control · Mathematics 2017-07-25 Dario Bauso , Jian Gao , Hamidou Tembine

We present a partial operator-theoretic characterization of approachability principle and based on this characterization, we interpret a particular distributed payoff allocation algorithm to be a sequence of time-varying paracontractions.…

Systems and Control · Electrical Eng. & Systems 2019-12-02 Aitazaz Ali Raja , Sergio Grammatico

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.…

Computer Science and Game Theory · Computer Science 2023-08-22 Rong Zou , Boyue Lin , Marc Uetz , Matthias Walter

Some well-known solutions for cooperative games with transferable utility (TU-games), such as the Banzhaf value, the Myerson value, and the Aumann-Dreze value, fail to satisfy efficiency. Despite their desirable normative properties, this…

Theoretical Economics · Economics 2026-01-01 Yukihiko Funaki , Yukio Koriyama , Satoshi Nakada

This paper proposes a novel algorithm to approximate the core of transferable utility (TU) cooperative games via linear programming. Given the computational hardness of determining the full core, our approach provides a tractable…

Computer Science and Game Theory · Computer Science 2025-10-03 J Camacho , JC Gonçalves-Dosantos , J Sánchez-Soriano

Consider $N$ players and $K$ games taking place simultaneously. Each of these games is modeled as a Tug-of-War (ToW) game where increasing the action of one player decreases the reward for all other players. Each player participates in only…

Computer Science and Game Theory · Computer Science 2026-04-14 Siddharth Chandak , Ilai Bistritz , Nicholas Bambos

Self-interested behavior in sharing economies often leads to inefficient aggregate outcomes compared to a centrally coordinated allocation, ultimately harming users. Yet, centralized coordination removes individual decision power. This…

Computer Science and Game Theory · Computer Science 2026-03-20 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar

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,…

Computer Science and Game Theory · Computer Science 2017-05-30 Haris Aziz , Florian Brandl , Felix Brandt , Paul Harrenstein , Martin Olsen , Dominik Peters
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