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In response to the pressing challenge of kidney allocation, characterized by growing demands for organs, this research sets out to develop a data-driven solution to this problem, which also incorporates stakeholder values. The primary…

The core is a dominant solution concept in economics and cooperative game theory; it is predominantly used for profit, equivalently cost or utility, sharing. This paper demonstrates the versatility of this notion by proposing a completely…

Theoretical Economics · Economics 2023-09-07 Vijay V. Vazirani

Modern chess engines significantly outperform human players and are essential for evaluating positions and move quality. These engines assign a numerical evaluation $E$ to positions, indicating an advantage for either white or black, but…

Physics and Society · Physics 2025-05-07 Marc Barthelemy

In many multiagent environments, a designer has some, but limited control over the game being played. In this paper, we formalize this by considering incompletely specified games, in which some entries of the payoff matrices can be chosen…

Computer Science and Game Theory · Computer Science 2021-04-30 Markus Brill , Rupert Freeman , Vincent Conitzer

A Stackelberg Vertex Cover game is played on an undirected graph $\mathcal{G}$ where some of the vertices are under the control of a \emph{leader}. The remaining vertices are assigned a fixed weight. The game is played in two stages. First,…

Computer Science and Game Theory · Computer Science 2023-09-25 Katharina Eickhoff , Lennart Kauther , Britta Peis

The stable marriage and stable roommates problems have been extensively studied due to their high applicability in various real-world scenarios. However, it might happen that no stable solution exists, or stable solutions do not meet…

Computer Science and Game Theory · Computer Science 2022-04-29 Kristóf Bérczi , Gergely Csáji , Tamás Király

A naive way to solve the model-checking problem of the mu-calculus uses fixpoint iteration. Traditionally however mu-calculus model-checking is solved by a reduction in linear time to a parity game, which is then solved using one of the…

Logic in Computer Science · Computer Science 2019-09-18 Tom van Dijk , Bob Rubbens

We present a new multiplayer game model for the interaction and the flow of information in a distributed system. The players are tokens on a Petri net. As long as the players move in independent parts of the net, they do not know of each…

Logic in Computer Science · Computer Science 2014-08-27 Bernd Finkbeiner , Ernst-Rüdiger Olderog

We consider transferable utility cooperative games with infinitely many players and the core understood in the space of bounded additive set functions. We show that, if a game is bounded below, then its core is non-empty if and only if the…

Optimization and Control · Mathematics 2022-08-01 David Bartl , Miklós Pintér

Cooperative games with nonempty core are called balanced, and the set of balanced games is a polyhedron. Given a game with empty core, we look for the closest balanced game, in the sense of the (weighted) Euclidean distance, i.e., the…

Computer Science and Game Theory · Computer Science 2026-01-23 Pedro García-Segador , Michel Grabisch , Dylan Laplace Mermoud , Pedro Miranda

The assumption that voters' preferences share some common structure is a standard way to circumvent NP-hardness results in social choice problems. While the Kemeny ranking problem is NP-hard in the general case, it is known to become easy…

Discrete Mathematics · Computer Science 2022-06-13 Bruno Escoffier , Olivier Spanjaard , Magdaléna Tydrichová

Boolean games are a succinct representation of strategic games wherein a player seeks to satisfy a formula of propositional logic by selecting a truth assignment to a set of propositional variables under his control. The framework has…

Computer Science and Game Theory · Computer Science 2017-02-14 Egor Ianovski

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

This paper discusses the problem of efficiently solving parity games where player Odd has to obey an additional 'strong transition fairness constraint' on its vertices -- given that a player Odd vertex $v$ is visited infinitely often, a…

Computer Science and Game Theory · Computer Science 2023-10-24 Irmak Sağlam , Anne-Kathrin Schmuck

We propose an aggregate notion of non-transferable utility (NTU) stability for decentralized matching markets with fixed prices, where market clearing is achieved through one-sided money burning, which can be interpreted as waiting. Agents…

Theoretical Economics · Economics 2026-05-11 Alfred Galichon , Yu-Wei Hsieh , Antoine Jacquet

We introduce CUT, the class of 2-player partition games. These are NIM type games, played on a finite number of heaps of beans. The rules are given by a set of positive integers, which specifies the number of allowed splits a player can…

Combinatorics · Mathematics 2026-04-17 Antoine Dailly , Eric Duchene , Urban Larsson , Gabrielle Paris

The paper introduces two player connectivity games played on finite bipartite graphs. Algorithms that solve these connectivity games can be used as subroutines for solving M\"uller games. M\"uller games constitute a well established class…

Computer Science and Game Theory · Computer Science 2025-01-16 Zihui Liang , Bakh Khoussainov , Toru Takisaka , Mingyu Xiao

We study payoff manipulation in repeated multi-objective Stackelberg games, where a leader may strategically influence a follower's deterministic best response, e.g., by offering a share of their own payoff. We assume that the follower's…

Computer Science and Game Theory · Computer Science 2025-08-27 Phurinut Srisawad , Juergen Branke , Long Tran-Thanh

A recurring theme in the mathematical social sciences is how to select the "most desirable" elements given a binary dominance relation on a set of alternatives. Schwartz's tournament equilibrium set (TEQ) ranks among the most intriguing,…

Computational Complexity · Computer Science 2015-02-06 Felix Brandt , Felix Fischer , Paul Harrenstein

In this paper, a novel framework for normative modeling of the spectrum sensing and sharing problem in cognitive radios (CRs) as a transferable utility (TU) cooperative game is proposed. Secondary users (SUs) jointly sense the spectrum and…

Computer Science and Game Theory · Computer Science 2011-12-08 Jayaprakash Rajasekharan , Jan Eriksson , Visa Koivunen