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Schulze's rule is used in the elections of a large number of organizations including Wikimedia and Debian. Part of the reason for its popularity is the large number of axiomatic properties, like monotonicity and Condorcet consistency, which…

Artificial Intelligence · Computer Science 2013-04-04 Serge Gaspers , Thomas Kalinowski , Nina Narodytska , Toby Walsh

The paper defines a non-cooperative simultaneous finite game to study coalition structure formation with intra and inter-coalition externalities. The novelty of the game is that the game definition embeds a \textit{coalition structure…

Optimization and Control · Mathematics 2016-12-08 Dmitry V. Levando

Tournaments are widely used models to represent pairwise dominance between candidates, alternatives, or teams. We study the problem of providing certified explanations for why a candidate appears among the winners under various tournament…

Artificial Intelligence · Computer Science 2026-01-22 Clément Contet , Umberto Grandi , Jérôme Mengin

A tournament on $n$ agents is a complete oriented graph with the agents as vertices and edges that describe the win-loss outcomes of the $\binom{n}{2}$ matches played between each pair of agents. The winner of a tournament is determined by…

Computer Science and Game Theory · Computer Science 2024-08-21 David Pennock , Ariel Schvartzman , Eric Xue

This work shows that the formation of a finite number of coalitions in a nonatomic network congestion game benefits everyone. At the equilibrium of the composite game played by coalitions and individuals, the average cost to each coalition…

Computer Science and Game Theory · Computer Science 2015-03-20 Cheng Wan

Consider an important meeting to be held in a team-based organization. Taking availability constraints into account, an online scheduling poll is being used in order to decide upon the exact time of the meeting. Decisions are to be taken…

Computer Science and Game Theory · Computer Science 2016-11-29 Robert Bredereck , Jiehua Chen , Rolf Niedermeier , Svetlana Obraztsova , Nimrod Talmon

Coalitional control is concerned with the management of multi-agent systems where cooperation cannot be taken for granted (due to, e.g., market competition, logistics). This paper proposes a model predictive control (MPC) framework aimed at…

Systems and Control · Electrical Eng. & Systems 2021-08-03 Filiberto Fele , Ezequiel Debada , José M. Maestre , Eduardo F. Camacho

In the computational social choice literature, there has been great interest in understanding how computational complexity can act as a barrier against manipulation of elections. Much of this literature, however, makes the assumption that…

Computer Science and Game Theory · Computer Science 2015-07-27 Vijay Menon , Kate Larson

According to recent empirical studies, the group draw of major sports tournaments can imply a high level of uncertainty, and some lucky teams enjoy an unfair advantage over the other teams. We propose a novel technique to quantify this draw…

This paper studies the formation of the grand coalition of a cooperative game by investigating its possible internal dynamics. Each coalition is capable of forcing all players to reconsider the current state of the game when it does not…

Theoretical Economics · Economics 2024-12-06 Dylan Laplace Mermoud

We introduce and study an evolutionary complementarity game where in each round a player of population 1 is paired with a member of population 2. The game is symmetric, and each player tries to obtain an advantageous deal, but when one of…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 Juergen Jost , Wei Li

Coalition formation is a fundamental type of interaction that involves the creation of coherent groupings of distinct, autonomous, agents in order to efficiently achieve their individual or collective goals. Forming effective coalitions is…

Multiagent Systems · Computer Science 2014-01-16 Talal Rahwan , Sarvapali Dyanand Ramchurn , Nicholas Robert Jennings , Andrea Giovannucci

Rank aggregation with pairwise comparisons is widely encountered in sociology, politics, economics, psychology, sports, etc . Given the enormous social impact and the consequent incentives, the potential adversary has a strong motivation to…

Artificial Intelligence · Computer Science 2024-07-03 Ke Ma , Qianqian Xu , Jinshan Zeng , Wei Liu , Xiaochun Cao , Yingfei Sun , Qingming Huang

Selective rationalization has become a common mechanism to ensure that predictive models reveal how they use any available features. The selection may be soft or hard, and identifies a subset of input features relevant for prediction. The…

Computation and Language · Computer Science 2019-12-17 Mo Yu , Shiyu Chang , Yang Zhang , Tommi S. Jaakkola

This paper investigates the potential benefits of cooperation in scenarios where finitely many agents compete for shared resources, leading to congestion and thereby reduced rewards. By appropriate coordination the members of the…

Computer Science and Game Theory · Computer Science 2024-10-10 Riya Sultana , Veeraruna Kavitha

We consider the problem of manipulating elections by cloning candidates. In our model, a manipulator can replace each candidate c by several clones, i.e., new candidates that are so similar to c that each voter simply replaces c in his vote…

Computer Science and Game Theory · Computer Science 2014-01-21 Edith Elkind , Piotr Faliszewski , Arkadii Slinko

We study a combinatorial game derived from a problem in the German National Mathematics Competition. In this game, two players take turns removing numbers from a finite set of natural numbers, aiming to satisfy a certain divisibility…

Combinatorics · Mathematics 2025-08-04 Tim Rammenstein

In competitive resource allocation formulations multiple agents compete over different contests by committing their limited resources in them. For these settings, contest games offer a game-theoretic foundation to analyze how players can…

Computer Science and Game Theory · Computer Science 2024-08-05 Gilberto Diaz-Garcia , Francesco Bullo , Jason R. Marden

The formal study of coalition formation in multi-agent systems is typically realized in the framework of hedonic games, which originate from economic theory. The main focus of this branch of research has been on the existence and the…

Computer Science and Game Theory · Computer Science 2022-11-18 Felix Brandt , Martin Bullinger , Anaëlle Wilczynski

Ladder tournaments are widely used to rank individuals in real-world organizations and games. Their mathematical properties however are still poorly understood. We formalize the ranking rule generated by a ladder tournament, and we show…

Combinatorics · Mathematics 2015-07-07 Roland Pongou , Bertrand Tchantcho , Narcisse Tedjeugang