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In this paper, some new criteria for detecting whether a finite game is potential are proposed by solving potential equations. The verification equations with the minimal number for checking a potential game are obtained for the first time.…

Computer Science and Game Theory · Computer Science 2015-04-29 Xinyun Liu , Jiandong Zhu

Classification of matches played in the last rounds of sports competitions is a well-established tool for evaluating tournament designs. Both deterministic and probabilistic approaches are available for this purpose. Our paper offers the…

Physics and Society · Physics 2026-05-26 László Csató , András Gyimesi

We study incentive design when multiple principals simultaneously design mechanisms for their respective teams in environments with strategic spillovers. In this environment, each principal's set of incentive-compatible mechanisms--those…

Theoretical Economics · Economics 2026-05-11 Brian Roberson

Bipartite matching problem is to study two disjoint groups of agents who need to be matched pairwise. It can be applied to many real-world scenarios and explain many social phenomena. In this article, we study the effect of competition on…

Physics and Society · Physics 2018-11-15 Yi-Xiu Kong , Guang-Hui Yuan , Lei Zhou , Rui-Jie Wu , Gui-Yuan Shi

Single-elimination (SE) tournaments are a popular format used in competitive environments and decision making. Algorithms for SE tournament manipulation have been an active topic of research in recent years. In this paper, we initiate the…

Data Structures and Algorithms · Computer Science 2024-02-12 Sushmita Gupta , M. S. Ramanujan , Peter Strulo

Scoring rules aggregate individual rankings by assigning some points to each position in each ranking such that the total sum of points provides the overall ranking of the alternatives. They are widely used in sports competitions consisting…

Other Statistics · Statistics 2023-03-28 László Csató

We study techniques to incentivize self-interested agents to form socially desirable solutions in scenarios where they benefit from mutual coordination. Towards this end, we consider coordination games where agents have different intrinsic…

Computer Science and Game Theory · Computer Science 2014-04-21 Elliot Anshelevich , Shreyas Sekar

The combination of uninterpreted function symbols and universal quantification occurs in many applications of automated reasoning, for example, due to their ability to reason about arrays. Yet the satisfiability of such formulas is, in…

Logic in Computer Science · Computer Science 2026-02-19 Stefan Ratschan , Anggha Nugraha , Mikoláš Janota , Marek Dančo

This paper discusses the gambling contest introduced in Seel & Strack (Gambling in contests, Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 375, Mar 2012.) and considers the impact of adding a penalty…

Portfolio Management · Quantitative Finance 2013-01-07 Han Feng , David Hobson

We study the mechanism design problem of allocating a set of indivisible items without monetary transfers. Despite the vast literature on this very standard model, it still remains unclear how do truthful mechanisms look like. We focus on…

Computer Science and Game Theory · Computer Science 2017-05-31 Georgios Amanatidis , Georgios Birmpas , George Christodoulou , Evangelos Markakis

We establish the first hardness results for the problem of computing the value of one-round games played by a verifier and a team of provers who can share quantum entanglement. In particular, we show that it is NP-hard to approximate within…

Quantum Physics · Physics 2007-11-21 Julia Kempe , Hirotada Kobayashi , Keiji Matsumoto , Ben Toner , Thomas Vidick

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

The existence of incompatible measurements, i.e. measurements which cannot be performed simultaneously on a single copy of a quantum state, constitutes an important distinction between quantum mechanics and classical theories. While…

Quantum Physics · Physics 2022-06-22 Krzysztof Mordasewicz , Jędrzej Kaniewski

While the detection of entanglement has been proved already to be quite a difficult task, experimental quantification of entanglement is even more challenging. In this work, we derive an analytical lower bound for the concurrence of a…

Quantum Physics · Physics 2011-04-07 Zhi-Hao Ma , Zhi-Hua Chen , Jing-Ling Chen

Higher-order quantum theory deals with causal quantum processes, described by quantum combs, and test procedures, described by quantum testers, "measuring" these processes. In this work, we show that "jointly non-implementable" or…

Quantum Physics · Physics 2024-10-11 Nidhin Sudarsanan Ragini , Sk Sazim

An integrable anharmonic oscillator is presumably simulable by a classical computer and therefore by a quantum computer. An integrable anharmonic oscillator whose Hamiltonian is of normal type and quartic in the canonical coordinates is not…

Quantum Physics · Physics 2019-12-09 Abel Wolman

Randomized experiments can be susceptible to selection bias due to potential non-compliance by the participants. While much of the existing work has studied compliance as a static behavior, we propose a game-theoretic model to study…

Machine Learning · Computer Science 2021-07-29 Daniel Ngo , Logan Stapleton , Vasilis Syrgkanis , Zhiwei Steven Wu

While it is known that shared quantum entanglement can offer improved solutions to a number of purely cooperative tasks for groups of remote agents, controversy remains regarding the legitimacy of quantum games in a competitive setting--in…

Quantum Physics · Physics 2015-05-14 Charles D. Hill , Adrian P. Flitney , Nicolas C. Menicucci

We propose a novel definition of model exploitation in reinforcement learning. Informally, a world model is exploitable if it implies that one policy should be strictly preferred over another while the environment's true transition model…

Artificial Intelligence · Computer Science 2026-05-19 Logan Mondal Bhamidipaty , Esmeralda S. Whitammer , David Abel , Mykel J. Kochenderfer , Subramanian Ramamoorthy

We consider the problem of designing incentive-compatible, ex-post individually rational (IR) mechanisms for covering problems in the Bayesian setting, where players' types are drawn from an underlying distribution and may be correlated,…

Computer Science and Game Theory · Computer Science 2016-09-30 Hadi Minooei , Chaitanya Swamy