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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 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

We propose a novel decision making framework for forming potential collaboration among otherwise competing agents in subsurface systems. The agents can be, e.g., groundwater, CO$_2$, or hydrogen injectors and extractors with conflicting…

Optimization and Control · Mathematics 2025-02-28 Per Pettersson , Sebastian Krumscheid , Sarah Gasda

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 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

A solution function for convex transferable utility games encourages the grand coalition if no player prefers (in a precise sense defined in the text) any coalition to the grand coalition. We show that the Shapley value encourages the grand…

Optimization and Control · Mathematics 2007-11-16 Titu Andreescu , Zoran Sunic

Research in cooperative games often assumes that agents know the coalitional values with certainty, and that they can belong to one coalition only. By contrast, this work assumes that the value of a coalition is based on an underlying…

Computer Science and Game Theory · Computer Science 2018-04-17 Michalis Mamakos , Georgios Chalkiadakis

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

In Network games under cooperative framework, the position value is a link based allocation rule. It is obtained from the Shapley value of an associated cooperative game where the links of the network are considered players. The Shapley…

Theoretical Economics · Economics 2023-08-08 Niharika Kakoty , Surajit Borkotokey , Rajnish Kumar , Abhijit Bora

We introduce a class of cooperative games induced by weighted directed graphs. Specifically, the coalitional value combines an internal interaction term given by the induced subgraph game with an external component based on minimal incoming…

Computer Science and Game Theory · Computer Science 2026-05-19 David Ryzák , Tomáš Kroupa

In wireless packet-forwarding networks with selfish nodes, applications of a repeated game can induce the nodes to forward each others' packets, so that the network performance can be improved. However, the nodes on the boundary of such…

Information Theory · Computer Science 2007-07-13 Zhu Han , H. Vincent Poor

In networking and computing, resource allocation is typically addressed using classical sharing protocols as, for instance, the proportional division rule, the max-min fair allocation , or other solutions inspired by cooperative game…

Networking and Internet Architecture · Computer Science 2017-04-25 Francesca Fossati , Stefano Moretti , Stefano Secci

A game theoretic distributed decision making approach is presented for the problem of control effort allocation in a robotic team based on a novel variant of fictitious play. The proposed learning process allows the robots to accomplish…

Multiagent Systems · Computer Science 2016-11-18 Michalis Smyrnakis , Sandor M. Veres

We study a game-theoretic model for pool formation in Proof of Stake blockchain protocols. In such systems, stakeholders can form pools as a means of obtaining regular rewards from participation in ledger maintenance, with the power of each…

Computer Science and Game Theory · Computer Science 2025-06-09 Aggelos Kiayias , Elias Koutsoupias , Evangelos Markakis , Panagiotis Tsamopoulos

We investigate the application of the Shapley value to quantifying the contribution of a tuple to a query answer. The Shapley value is a widely known numerical measure in cooperative game theory and in many applications of game theory for…

Databases · Computer Science 2023-06-22 Ester Livshits , Leopoldo Bertossi , Benny Kimelfeld , Moshe Sebag

Collaboration may be understood as the execution of coordinated tasks (in the most general sense) by groups of users, who cooperate for achieving a common goal. Collaboration is a fundamental assumption and requirement for the correct…

Computer Science and Game Theory · Computer Science 2012-07-26 Agustín Santos Méndez , Antonio Fernández Anta , Luis López Fernández

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

We investigate Gately's solution concept for cooperative games with transferable utilities. Gately's conception introduced a bargaining solution that minimises the maximal quantified ``propensity to disrupt'' the negotiation process of the…

Theoretical Economics · Economics 2023-07-11 Robert P. Gilles , Lina Mallozzi

In wireless packet-forwarding networks with selfish nodes, application of a repeated game can induce the nodes to forward each others' packets, so that the network performance can be improved. However, the nodes on the boundary of such…

Information Theory · Computer Science 2008-05-29 Zhu Han , Vincent Poor

Coalition formation is often modeled as a static equilibrium problem, neglecting the dynamic processes governing how agents self-organize. This paper proposes a dynamic split-and-merge framework that balances two conflicting economic…

Computer Science and Game Theory · Computer Science 2026-03-19 Quanyan Zhu , Zhengye Han