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We investigate multi-round team competitions between two teams, where each team selects one of its players simultaneously in each round and each player can play at most once. The competition defines an extensive-form game with perfect…

Computer Science and Game Theory · Computer Science 2016-02-25 Kai Jin , Pingzhong Tang , Shiteng Chen

In frequently repeated matching scenarios, individuals may require diversification in their choices. Therefore, when faced with a set of potential outcomes, each individual may have an ideal lottery over outcomes that represents their…

Computer Science and Game Theory · Computer Science 2024-04-29 Rasoul Ramezanian

Knockout tournaments constitute a popular format for organizing sports competitions. While prior results have shown that it is often possible to manipulate a knockout tournament by fixing the bracket, these results ignore the prevalent…

Computer Science and Game Theory · Computer Science 2023-06-27 Pasin Manurangsi , Warut Suksompong

We consider active learning under incentive compatibility constraints. The main application of our results is to economic experiments, in which a learner seeks to infer the parameters of a subject's preferences: for example their attitudes…

Computer Science and Game Theory · Computer Science 2019-11-15 Federico Echenique , Siddharth Prasad

We introduce a "high probability" framework for repeated games with incomplete information. In our non-equilibrium setting, players aim to guarantee a certain payoff with high probability, rather than in expected value. We provide a high…

Computer Science and Game Theory · Computer Science 2015-09-30 Payam Delgosha , Amin Gohari , Mohammad Akbarpour

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

Obviously strategyproof (OSP) mechanisms maintain the incentive compatibility of agents that are not fully rational. They have been object of a number of studies since their recent definition. A research agenda, initiated in…

Computer Science and Game Theory · Computer Science 2018-04-30 Diodato Ferraioli , Carmine Ventre

As AI regulations around the world intensify their focus on system safety, contestability has become a mandatory, yet ill-defined, safeguard. In XAI, "contestability" remains an empty promise: no formal definition exists, no algorithm…

Computers and Society · Computer Science 2025-06-03 Catarina Moreira , Anna Palatkina , Dacia Braca , Dylan M. Walsh , Peter J. Leihn , Fang Chen , Nina C. Hubig

Additively separable hedonic games and fractional hedonic games have received considerable attention. They are coalition forming games of selfish agents based on their mutual preferences. Most of the work in the literature characterizes the…

Artificial Intelligence · Computer Science 2017-06-29 Michele Flammini , Gianpiero Monaco , Qiang Zhang

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

Admissibility has been studied for games of infinite duration with Boolean objectives. We extend here this study to games of infinite duration with quantitative objectives. First, we show that, un- der the assumption that optimal worst-case…

Logic in Computer Science · Computer Science 2016-11-29 Romain Brenguier , Guillermo A. Pérez , Jean-François Raskin , Ocan Sankur

Ranking individuals based on their performance in different coalitions is a problem emerging in various domains (teams sports, scientific evaluation, argumentation, etc.). Often, for practical reasons, the number of comparable coalitions is…

Theoretical Economics · Economics 2026-03-19 Takahiro Suzuki , Michele Aleandri , Stefano Moretti

This paper studies a general class of social choice problems in which agents' payoff functions (or types) are privately observable random variables, and monetary transfers are not available. We consider cardinal social choice functions…

Theoretical Economics · Economics 2024-08-20 Kazuya Kikuchi , Yukio Koriyama

Tournament-based compensation schemes with forced distributions represent a widely adopted class of relative performance evaluation mechanisms in technology and corporate environments. These systems mandate within-team ranking and fixed…

General Economics · Economics 2025-12-09 Jeremy McEntire

During the last twenty years, a lot of research was conducted on the sport elimination problem: Given a sports league and its remaining matches, we have to decide whether a given team can still possibly win the competition, i.e., place…

Computational Complexity · Computer Science 2016-05-11 Stefan Neumann , Andreas Wiese

We study the problem of implementing equilibria of complete information games in settings of incomplete information, and address this problem using "recommender mechanisms." A recommender mechanism is one that does not have the power to…

Computer Science and Game Theory · Computer Science 2015-12-11 Michael Kearns , Mallesh M. Pai , Aaron Roth , Jonathan Ullman

We consider large scale cost allocation problems and consensus seeking problems for multiple agents, in which agents are suggested to collaborate in a distributed algorithm to find a solution. If agents are strategic to minimize their own…

Optimization and Control · Mathematics 2013-04-11 Takashi Tanaka , Farhad Farokhi , Cédric Langbort

The lack of cooperation can easily result in inequality among members of a society, which provides an increasing gap between individual incomes. To tackle this issue, we introduce an incentive mechanism based on individual strategies and…

Physics and Society · Physics 2025-01-24 Luo-Luo Jiang , Yi-Ming Li , Wen-Jing Li , Attila Szolnoki

Imitation sometimes achieves success in multi-agent situations even though it is very simple. In game theory, success of imitation has been characterized by unbeatability against other agents. Previous studies specified conditions under…

Physics and Society · Physics 2025-07-23 Masahiko Ueda

We study how to incentivize agents in a target group to produce a higher output in the context of incomplete information, by means of rank-order allocation contests. We describe a symmetric Bayes--Nash equilibrium for contests that have two…

Computer Science and Game Theory · Computer Science 2022-05-02 Edith Elkind , Abheek Ghosh , Paul Goldberg