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In this paper, we study the average case complexity of the Unique Games problem. We propose a natural semi-random model, in which a unique game instance is generated in several steps. First an adversary selects a completely satisfiable…

Data Structures and Algorithms · Computer Science 2011-04-20 Alexandra Kolla , Konstantin Makarychev , Yury Makarychev

Rational verification refers to the problem of checking which temporal logic properties hold of a concurrent multiagent system, under the assumption that agents in the system choose strategies that form a game-theoretic equilibrium.…

Logic in Computer Science · Computer Science 2022-07-19 Julian Gutierrez , Muhammad Najib , Giuseppe Perelli , Michael Wooldridge

Electing a single committee of a small size is a classical and well-understood voting situation. Being interested in a sequence of committees, we introduce and study two time-dependent multistage models based on simple Plurality voting.…

Computational Complexity · Computer Science 2024-01-22 Robert Bredereck , Till Fluschnik , Andrzej Kaczmarczyk

Candidate control of elections is the study of how adding or removing candidates can affect the outcome. However, the traditional study of the complexity of candidate control is in the model in which all candidates and votes are known up…

Computer Science and Game Theory · Computer Science 2016-06-20 Edith Hemaspaandra , Lane A. Hemaspaandra , Joerg Rothe

We combine the parametric Barvinok algorithm with a generation algorithm for a finite list of suitably chosen discrete sub-cases on the enumeration of complete simple games, i.e. a special subclass of monotone Boolean functions. Recently,…

Combinatorics · Mathematics 2010-01-19 Sascha Kurz , Nikolas Tautenhahn

This paper studies the complexity of solving two classes of non-cooperative games in a distributed manner in which the players communicate with a set of system nodes over noisy communication channels. The complexity of solving each game…

Information Theory · Computer Science 2017-01-25 Ehsan Nekouei , Girish N. Nair , Tansu Alpcan , Robin J. Evans

Simple stochastic games can be solved by value iteration (VI), which yields a sequence of under-approximations of the value of the game. This sequence is guaranteed to converge to the value only in the limit. Since no stopping criterion is…

Logic in Computer Science · Computer Science 2021-02-02 Edon Kelmendi , Julia Krämer , Jan Kretinsky , Maximilian Weininger

The traditional election control problem focuses on the use of control to promote a single candidate. In parliamentary elections, however, the focus shifts: voters care no less about the overall governing coalition than the individual…

Computer Science and Game Theory · Computer Science 2025-03-07 Hodaya Barr , Eden Hartman , Yonatan Aumann , Sarit Kraus

Value methods for solving stochastic games with partial observability model the uncertainty about states of the game as a probability distribution over possible states. The dimension of this belief space is the number of states. For many…

Computer Science and Game Theory · Computer Science 2019-03-14 Karel Horák , Branislav Bošanský , Christopher Kiekintveld , Charles Kamhoua

Simple stochastic games are turn-based 2.5-player zero-sum graph games with a reachability objective. The problem is to compute the winning probability as well as the optimal strategies of both players. In this paper, we compare the three…

Computer Science and Game Theory · Computer Science 2020-09-24 Jan Křetínský , Emanuel Ramneantu , Alexander Slivinskiy , Maximilian Weininger

Obliging games have been introduced in the context of the game perspective on reactive synthesis in order to enforce a degree of cooperation between the to-be-synthesized system and the environment. Previous approaches to the analysis of…

Computer Science and Game Theory · Computer Science 2024-07-17 Daniel Hausmann , Nir Piterman

We unify standard frameworks for approachability both in full or partial monitoring by defining a new abstract game, called the "purely informative game", where the outcome at each stage is the maximal information players can obtain,…

Computer Science and Game Theory · Computer Science 2013-01-17 Vianney Perchet , Marc Quincampoix

We study the effectiveness of iterated elimination of strictly-dominated actions in random games. We show that dominance solvability of games is vanishingly small as the number of at least one player's actions grows. Furthermore,…

Theoretical Economics · Economics 2021-05-25 Noga Alon , Kirill Rudov , Leeat Yariv

Coalition formation is a key problem in automated negotiation among self-interested agents, and other multiagent applications. A coalition of agents can sometimes accomplish things that the individual agents cannot, or can do things more…

Computer Science and Game Theory · Computer Science 2009-09-29 Vincent Conitzer , Tuomas Sandholm

The minority game is a simple congestion game in which the players' main goal is to choose among two options the one that is adopted by the smallest number of players. We characterize the set of Nash equilibria and the limiting behavior of…

Physics and Society · Physics 2007-08-28 Willemien Kets , Mark Voorneveld

Control and manipulation are two of the most studied types of attacks on elections. In this paper, we study the complexity of control attacks on elections in which there are manipulators. We study both the case where the "chair" who is…

Computer Science and Game Theory · Computer Science 2017-06-09 Zack Fitzsimmons , Edith Hemaspaandra , Lane A. Hemaspaandra

This paper studies sequential quantum games under the assumption that the moves of the players are drawn from groups and not just plain sets. The extra group structure makes possible to easily derive some very general results characterizing…

Quantum Physics · Physics 2025-03-14 Theodore Andronikos

We present a computational formulation for the approximate version of several variational inequality problems, investigating their computational complexity and establishing PPAD-completeness. Examining applications in computational game…

Computational Complexity · Computer Science 2024-11-08 Bruce M. Kapron , Koosha Samieefar

We formalize Simplified Boardgames language, which describes a subclass of arbitrary board games. The language structure is based on the regular expressions, which makes the rules easily machine-processable while keeping the rules concise…

Artificial Intelligence · Computer Science 2016-07-18 Jakub Kowalski , Jakub Sutowicz , Marek Szykuła

In volleyball games, we define a rally as the succession of events observed since the ball is served until one of the two teams on the court scores the point. In this process, athletes evolve in response to physical and information…

Physics and Society · Physics 2022-09-26 A. Chacoma , O. V. Billoni