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Tournament solutions are standard tools for identifying winners based on pairwise comparisons between competing alternatives. The recently studied notion of margin of victory (MoV) offers a general method for refining the winner set of any…

Computer Science and Game Theory · Computer Science 2023-06-27 Markus Brill , Ulrike Schmidt-Kraepelin , Warut Suksompong

Commitment devices are powerful tools that can influence and incentivise certain behaviours by linking them to rewards or punishments. These devices are particularly useful in decision-making, as they can steer individuals towards specific…

Computer Science and Game Theory · Computer Science 2023-12-11 Maria Alejandra Ramirez , Yoav Kolumbus , Rosemarie Nagel , David Wolpert , Jürgen Jost

Round robin tournaments are omnipresent in sport competitions and beyond. We propose two new integer programming formulations for scheduling a round robin tournament, one of which we call the matching formulation. We analytically compare…

Optimization and Control · Mathematics 2022-10-18 Jasper van Doornmalen , Christopher Hojny , Roel Lambers , Frits C. R. Spieksma

We study the complexity of solving two-player infinite duration games played on a fixed finite graph, where the control of a node is not predetermined but rather assigned randomly. In classic random-turn games, control of each node is…

Computer Science and Game Theory · Computer Science 2026-01-13 Sarvin Bahmani , Rasmus Ibsen-Jensen , Soumyajit Paul , Sven Schewe , Friedrich Slivovsky , Qiyi Tang , Dominik Wojtczak , Shufang Zhu

In many social dilemmas, individuals tend to generate a situation with low payoffs instead of a system optimum ("tragedy of the commons"). Is the routing of traffic a similar problem? In order to address this question, we present…

Physics and Society · Physics 2007-05-23 Dirk Helbing , Martin Schonhof , Hans-Ulrich Stark , Janusz A. Holyst

Atomic congestion games are a classic topic in network design, routing, and algorithmic game theory, and are capable of modeling congestion and flow optimization tasks in various application areas. While both the price of anarchy for such…

Computer Science and Game Theory · Computer Science 2024-10-23 Cornelius Brand , Robert Ganian , Subrahmanyam Kalyanasundaram , Fionn Mc Inerney

Coordination games are important to explain efficient and desirable social behavior. Here we study these games by extensive numerical simulation on networked social structures using an evolutionary approach. We show that local network…

Physics and Society · Physics 2010-11-24 Marco Tomassini , Enea Pestelacci

We study the voting problem with two alternatives where voters' preferences depend on a not-directly-observable state variable. While equilibria in the one-round voting mechanisms lead to a good decision, they are usually hard to compute…

Computer Science and Game Theory · Computer Science 2025-05-16 Qishen Han , Grant Schoenebeck , Biaoshuai Tao , Lirong Xia

We investigate the manipulation of power indices in TU-cooperative games by stimulating (subject to a budget constraint) changes in the propensity of other players to participate to the game. We display several algorithms that show that the…

Computer Science and Game Theory · Computer Science 2019-05-17 Gabriel Istrate , Cosmin Bonchiş , Alin Brînduşescu

We consider the computational complexity of the question whether a certain strategy can be removed from a game by means of iterated elimination of dominated strategies. In particular, we study the influence of different definitions of…

Computational Complexity · Computer Science 2010-01-20 Arno Pauly

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

Game balancing is an important part of the (computer) game design process, in which designers adapt a game prototype so that the resulting gameplay is as entertaining as possible. In industry, the evaluation of a game is often based on…

Human-Computer Interaction · Computer Science 2016-03-15 Vanessa Volz , Günter Rudolph , Boris Naujoks

A new game-theoretic approach for combining multiple classifiers is proposed. A short introduction in Game Theory and coalitions illustrate the way any collective decision scheme can be viewed as a competitive game of coalitions that are…

Computer Science and Game Theory · Computer Science 2015-02-10 Harris V. Georgiou

The Colonel Blotto game, introduced by Borel in the 1920s, is often used for modeling various real-life settings, such as elections, lobbying, etc. The game is based on the allocation of limited resources by players to a set of fields. Each…

Theoretical Economics · Economics 2024-07-25 Sidarth Erat

Crucial to an Evolutionary Algorithm's performance is its selection scheme. We mathematically investigate the relation between polynomial rank and probabilistic tournament methods which are (respectively) generalisations of the popular…

Neural and Evolutionary Computing · Computer Science 2008-06-26 Kassel Hingee , Marcus Hutter

In this paper we introduce adaptation mechanism based on genetic algorithms in minority games. If agents find their performances too low, they modify their strategies in hope to improve their performances and become more successful. One aim…

Statistical Mechanics · Physics 2009-11-10 Marko Sysi-Aho , Anirban Chakraborti , Kimmo Kaski

We consider an assignment problem that has aspects of fair division as well as social choice. In particular, we investigate the problem of assigning a small subset from a set of indivisible items to multiple players so that the chosen…

Computer Science and Game Theory · Computer Science 2019-02-06 Warut Suksompong

The incomplete round robin sports tournament format, where each team plays the same number of games but faces only a subset of the other teams, is becoming increasingly popular in both youth and professional competitions. In contrast to…

Optimization and Control · Mathematics 2026-05-12 Karel Devriesere , David Van Bulck , Dries Goossens

Several elections run in the last years have been characterized by attempts to manipulate the result of the election through the diffusion of fake or malicious news over social networks. This problem has been recognized as a critical issue…

Computer Science and Game Theory · Computer Science 2023-08-22 Vincenzo Auletta , Francesco Carbone , Diodato Ferraioli

In addressing the challenge of exponential scaling with the number of agents we adopt a cluster-based representation to approximately solve asymmetric games of very many players. A cluster groups together agents with a similar "strategic…

Computer Science and Game Theory · Computer Science 2012-06-18 Sevan G. Ficici , David C. Parkes , Avi Pfeffer
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