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Fair cost allocation in community microgrids remains a significant challenge due to the complex interactions between multiple participants with varying load profiles, distributed energy resources, and storage systems. Traditional cost…

Systems and Control · Electrical Eng. & Systems 2025-02-14 K. Victor Sam Moses Babu , Pratyush Chakraborty , Mayukha Pal

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

Cooperative games are those in which both agents share the same payoff structure. Value-based reinforcement-learning algorithms, such as variants of Q-learning, have been applied to learning cooperative games, but they only apply when the…

Machine Learning · Computer Science 2017-05-25 Leonid Peshkin , Kee-Eung Kim , Nicolas Meuleau , Leslie Pack Kaelbling

Cooperative games are those in which both agents share the same payoff structure. Value-based reinforcement-learning algorithms, such as variants of Q-learning, have been applied to learning cooperative games, but they only apply when the…

Artificial Intelligence · Computer Science 2014-08-08 Leonid Peshkin , Kee-Eung Kim , Nicolas Meuleau , Leslie Pack Kaelbling

We introduce the notion of universal graphs as a tool for constructing algorithms solving games of infinite duration such as parity games and mean payoff games. In the first part we develop the theory of universal graphs, with two goals:…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Thomas Colcombet , Nathanaël Fijalkow , Paweł Gawrychowski , Pierre Ohlmann

Parity games can be used to represent many different kinds of decision problems. In practice, tools that use parity games often rely on a specification in a higher-order logic from which the actual game can be obtained by means of an…

Logic in Computer Science · Computer Science 2022-01-25 Maurice Laveaux , Wieger Wesselink , Tim A. C. Willemse

In cooperative games, we study how values created or costs incurred by a coalition are shared among the members within it, and the players may join the coalition in a online manner such as investors invest a startup. Recently, Ge et al.…

Computer Science and Game Theory · Computer Science 2024-10-25 Junyu Zhang , Yao Zhang , Yaoxin Ge , Dengji Zhao , Hu Fu , Zhihao Gavin Tang , Pinyan Lu

We are studying the Gately point, an established solution concept for cooperative games. We point out that there are superadditive games for which the Gately point is not unique, i.e. in general the concept is rather set-valued than an…

Theoretical Economics · Economics 2019-01-08 Jochen Staudacher , Johannes Anwander

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

We analyze ways by which people decompose into groups in distributed systems. We are interested in systems in which an agent can increase its utility by connecting to other agents, but must also pay a cost that increases with the size of…

Computer Science and Game Theory · Computer Science 2013-05-21 Shay Kutten , Ron Lavi , Amitabh Trehan

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

In wireless mesh network (WMN), multiple service providers (SPs) can cooperate to share resources (e.g., relay nodes and spectrum), to serve their collective subscribed customers for better service. As a reward, SPs are able to achieve more…

Computer Science and Game Theory · Computer Science 2014-01-28 Xiao Lu , Ping Wang , Dusit Niyato

We introduce the notion of exchangeable equilibria of a symmetric bimatrix game, defined as those correlated equilibria in which players' strategy choices are conditionally independently and identically distributed given some hidden…

Computer Science and Game Theory · Computer Science 2014-01-21 Noah D. Stein , Asuman Ozdaglar , Pablo A. Parrilo

Nguyen et al. [1] introduced altruistic hedonic games in which agents' utilities depend not only on their own preferences but also on those of their friends in the same coalition. We propose to extend their model to coalition formation…

Computer Science and Game Theory · Computer Science 2023-01-16 Anna Maria Kerkmann , Simon Cramer , Jörg Rothe

A network game assigns a level of collectively generated wealth to every network that can form on a given set of players. A variable network game combines a network game with a network formation probability distribution, describing certain…

Computer Science and Game Theory · Computer Science 2022-10-31 Subhadip Chakrabarti , Loyimee Gogoi , Robert P Gilles , Surajit Borkotokey , Rajnish Kumar

The information decomposition problem requires an additive decomposition of the mutual information between the input and target variables into nonnegative terms. The recently introduced solution to this problem, Information Attribution,…

Information Theory · Computer Science 2022-07-13 Tomáš Kroupa , Sara Vannucci , Tomáš Votroubek

In this paper, we introduce and study a class of games called price-coupling games that arise in many scenarios, especially in the electricity industry. In a price-coupling game, there is a part of the objective function of a player which…

Optimization and Control · Mathematics 2019-01-08 Mathew P. Abraham , Ankur A. Kulkarni

In cooperative game theory, games in partition function form are real-valued function on the set of so-called embedded coalitions, that is, pairs $(S,\pi)$ where $S$ is a subset (coalition) of the set $N$ of players, and $\pi$ is a…

Discrete Mathematics · Computer Science 2010-02-22 Michel Grabisch

We consider the problem of social choice when transfers between agents are possible. This includes several canonical applications: public-good provision, management of a common resource, settlement of debts, and division of goods. The…

Theoretical Economics · Economics 2025-12-19 Gregorio Curello , Sam Jindani

In cost sharing games, the existence and efficiency of pure Nash equilibria fundamentally depends on the method that is used to share the resources' costs. We consider a general class of resource allocation problems in which a set of…

Computer Science and Game Theory · Computer Science 2015-02-05 Max Klimm , Daniel Schmand
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