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In mean-payoff games, the objective of the protagonist is to ensure that the limit average of an infinite sequence of numeric weights is nonnegative. In energy games, the objective is to ensure that the running sum of weights is always…

Logic in Computer Science · Computer Science 2010-10-05 Krishnendu Chatterjee , Laurent Doyen , Thomas A. Henzinger , Jean-Francois Raskin

We generalize a concept of classical finite extensive game to make it useful for application of quantum objects. The generalization extends a quantum realization scheme of static games to any finite extensive game. It represents an…

Computer Science and Game Theory · Computer Science 2010-08-20 Piotr Frackiewicz

The optimal value computation for turned-based stochastic games with reachability objectives, also known as simple stochastic games, is one of the few problems in $NP \cap coNP$ which are not known to be in $P$. However, there are some…

Computational Complexity · Computer Science 2014-08-10 David Auger , Pierre COUCHENEY , Yann Strozecki

The interactive game theoretical approach to the description of perception processes is proposed. The subject is treated formally in terms of a new class of the verbalizable interactive games which are called the perception games. An…

History and Overview · Mathematics 2007-05-23 Denis V. Juriev

We give a self contained introduction to a few quantum game protocols, starting with the quantum version of the two-player two-choice game of Prisoners dilemma, followed by a n-player generalization trough the quantum minority games, and…

Quantum Physics · Physics 2012-04-04 Puya Sharif , Hoshang Heydari

Two-player quantitative zero-sum games provide a natural framework to synthesize controllers with performance guarantees for reactive systems within an uncontrollable environment. Classical settings include mean-payoff games, where the…

Logic in Computer Science · Computer Science 2015-09-25 Patricia Bouyer , Nicolas Markey , Mickael Randour , Kim G. Larsen , Simon Laursen

In an investigation of the applications of Combinatorial Game Theory to chess, we construct novel mutual Zugzwang positions, explain an otherwise mysterious pawn endgame from "A Guide to Chess Endings" (Euwe and Hooper), show positions…

Combinatorics · Mathematics 2007-05-23 Noam D. Elkies

We introduce quantitative reductions, a novel technique for structuring the space of quantitative games and solving them that does not rely on a reduction to qualitative games. We show that such reductions exhibit the same desirable…

Computer Science and Game Theory · Computer Science 2018-09-12 Alexander Weinert

Players (people, firms, states, etc.) have privacy concerns that may affect their choice of actions in strategic settings. We use a variant of signaling games to model this effect and study its relation to pooling behavior,…

Computer Science and Game Theory · Computer Science 2017-05-18 Ronen Gradwohl , Rann Smorodinsky

We study a new class of games which generalizes congestion games and its bottleneck variant. We introduce congestion games with mixed objectives to model network scenarios in which players seek to optimize for latency and bandwidths alike.…

Computer Science and Game Theory · Computer Science 2016-12-22 Matthias Feldotto , Lennart Leder , Alexander Skopalik

We present several new characterizations of correlated equilibria in games with continuous utility functions. These have the advantage of being more computationally and analytically tractable than the standard definition in terms of…

Computer Science and Game Theory · Computer Science 2011-06-06 Noah D. Stein , Pablo A. Parrilo , Asuman Ozdaglar

One of the basics tasks in computer systems is the control of access of resources. Basically, there is a finite amount of resources that can be, for example, the CPU, memory or I/O ports, and several processes requiring those resources. If…

Quantum Physics · Physics 2008-02-26 Paulo Benicio , Melo de Sousa , Rubens Viana Ramos

We present a perspective on quantum games that focuses on the physical aspects of the quantities that are used to implement a game. If a game is to be played, it has to be played with objects and actions that have some physical existence.…

Quantum Physics · Physics 2012-02-23 Simon J. D. Phoenix , Faisal Shah Khan

We introduce capital games, which generalize the definition of standard games to incorporate dynamics. In capital games, payoffs are in units of capital which are not assumed to be units of utility. The dynamics allow us to infer player…

Computer Science and Game Theory · Computer Science 2026-01-27 Ben Abramowitz

Game Theory studies situations in which multiple agents having conflicting objectives have to reach a collective decision. The question of a compact representation language for agents utility function is of crucial importance since the…

Computer Science and Game Theory · Computer Science 2014-04-30 Thi-Van-Anh Nguyen , Arnaud Lallouet

A quantum game can be viewed as a state preparation in which the final output state results from the competing preferences of the players over the set of possible output states that can be produced. It is therefore possible to view state…

Quantum Physics · Physics 2020-03-13 Simon J. D. Phoenix , Faisal Shah Khan

Games on graphs provide a natural and powerful model for reactive systems. In this paper, we consider generalized reachability objectives, defined as conjunctions of reachability objectives. We first prove that deciding the winner in such…

Computational Complexity · Computer Science 2012-02-06 Nathanaël Fijalkow , Florian Horn

Classical objectives in two-player zero-sum games played on graphs often deal with limit behaviors of infinite plays: e.g., mean-payoff and total-payoff in the quantitative setting, or parity in the qualitative one (a canonical way to…

Logic in Computer Science · Computer Science 2016-09-15 Véronique Bruyère , Quentin Hautem , Mickael Randour

The author has long enjoyed using the CSP refinement checker FDR to solve puzzles, as witnessed by examples in \cite{tpc,ucs}. Recent experiments have shown that a number of games of patience (card games for one) are now well within bounds.…

Software Engineering · Computer Science 2016-11-28 A. W. Roscoe

We introduce the class of pay or play games, which captures scenarios in which each decision maker is faced with a choice between two actions: one with a fixed payoff and an- other with a payoff dependent on others' selected actions. This…

Computer Science and Game Theory · Computer Science 2013-09-27 Sigal Oren , Michael Schapira , Moshe Tennenholtz