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We give the first exponential separation between quantum and classical multi-party communication complexity in the (non-interactive) one-way and simultaneous message passing settings. For every k, we demonstrate a relational communication…

Quantum Physics · Physics 2022-03-29 Dmytro Gavinsky , Pavel Pudlák

We study the CHSH inequality from an informational, timing-sensitive viewpoint using game-theoretic probability, which avoids assuming an underlying probability space. The locality loophole and the measurement-dependence…

Quantum Physics · Physics 2026-03-16 Takara Nomura , Koichi Yamagata , Akio Fujiwara

Recent results showed it was possible to determine if a modest size 3XOR game has a perfect quantum strategy. We build on these and give an explicit polynomial time algorithm which constructs such a perfect strategy or refutes its…

Quantum Physics · Physics 2022-09-13 Adam Bene Watts , J. William Helton , Zehong Zhao

We consider K-Facility Location games, where n strategic agents report their locations in a metric space, and a mechanism maps them to K facilities. Our main result is an elegant characterization of deterministic strategyproof mechanisms…

Computer Science and Game Theory · Computer Science 2012-07-05 Dimitris Fotakis , Christos Tzamos

Motivated by the "tug-of-war" game studied in [12], we consider a "non-local" version of the game which goes as follows: at every step two players pick respectively a direction and then, instead of flipping a coin in order to decide which…

Analysis of PDEs · Mathematics 2011-05-04 Clayton Bjorland , Luis Caffarelli , Alessio Figalli

We discuss a model of a two-person, non-cooperative stochastic game, inspired by the discrete version of the red-and-black gambling problem presented by Dubins and Savage. Assume that two players hold certain amounts of money. At each stage…

Probability · Mathematics 2019-12-10 Włodzimierz Fechner

We present a systematic investigation of the quantum games, constructed using a novel repeated game protocol, when played repeatedly ad infinitum. We focus on establishing that such repeated games -- by virtue of inherent quantum-mechanical…

Quantum Physics · Physics 2024-02-27 Archan Mukhopadhyay , Saikat Sur , Tanay Saha , Shubhadeep Sadhukhan , Sagar Chakraborty

We introduce natural strategic games on graphs, which capture the idea of coordination in a local setting. We study the existence of equilibria that are resilient to coalitional deviations of unbounded and bounded size (i.e., strong…

Computer Science and Game Theory · Computer Science 2016-10-19 Krzysztof R. Apt , Bart de Keijzer , Mona Rahn , Guido Schaefer , Sunil Simon

We will discuss the generalization of entropic uncertainty principles in terms of a game. The game involves k-players, each measuring one of k possible observables. The question is, what is the maximum number of players that can play such…

Quantum Physics · Physics 2013-03-12 Sai Vinjanampathy , A. R. P. Rau

We introduce a natural variant of weighted voting games, which we refer to as k-Prize Weighted Voting Games. Such games consist of n players with weights, and k prizes, of possibly differing values. The players form coalitions, and the i-th…

Computer Science and Game Theory · Computer Science 2023-03-03 Wei-Chen Lee , David Hyland , Alessandro Abate , Edith Elkind , Jiarui Gan , Julian Gutierrez , Paul Harrenstein , Michael Wooldridge

We introduce a new class of network allocation games called graphical distance preservation games. Here, we are given a graph, called a topology, and a set of agents that need to be allocated to its vertices. Moreover, every agent has an…

Computer Science and Game Theory · Computer Science 2026-02-19 Argyrios Deligkas , Eduard Eiben , Tiger-Lily Goldsmith , Dušan Knop , Šimon Schierreich

At a mixed Nash equilibrium, the payoff of a player does not depend on her own action, as long as her opponent sticks to his. In a periodic strategy, a concept developed in a previous paper (arXiv:1307.2035v4), in contrast, the own payoff…

Computer Science and Game Theory · Computer Science 2020-05-27 V. K. Oikonomou , J. Jost

The game-theoretic risk management framework put forth in the precursor work "Towards a Theory of Games with Payoffs that are Probability-Distributions" (arXiv:1506.07368 [q-fin.EC]) is herein extended by algorithmic details on how to…

General Economics · Economics 2020-04-10 Stefan Rass

We study heterogeneous $k$-facility location games. In this model there are $k$ facilities where each facility serves a different purpose. Thus, the preferences of the agents over the facilities can vary arbitrarily. Our goal is to design…

Computer Science and Game Theory · Computer Science 2020-10-13 Eleftherios Anastasiadis , Argyrios Deligkas

We present a novel two-player game in a chaotic dynamical system where players have opposing objectives regarding the system's behavior. The game is analyzed using a methodology from the field of chaos control known as partial control. Our…

Chaotic Dynamics · Physics 2025-01-22 Gaspar Alfaro , Rubén Capeáns , Miguel A. F. Sanjuán

Two standard algorithms for approximately solving two-player zero-sum concurrent reachability games are value iteration and strategy iteration. We prove upper and lower bounds of 2^(m^(Theta(N))) on the worst case number of iterations…

Computer Science and Game Theory · Computer Science 2012-03-02 Kristoffer Arnsfelt Hansen , Rasmus Ibsen-Jensen , Peter Bro Miltersen

We simulate behaviour of two independent reinforcement learning algorithms playing the Crawford and Sobel (1982) game of strategic information transmission. We adopt memoryless algorithms to capture learning in a static game where a large…

Theoretical Economics · Economics 2024-10-02 Daniele Condorelli , Massimiliano Furlan

We give a general method for constructing a deterministic strategy of Reality from a randomized strategy in game-theoretic probability. The construction can be seen as derandomization in game-theoretic probability.

Probability · Mathematics 2014-08-05 Kenshi Miyabe , Akimichi Takemura

We introduce a quantum cloning game in which $k$ separate collaborative parties receive a classical input, determining which of them has to share a maximally entangled state with an additional party (referee). We provide the optimal winning…

Quantum Physics · Physics 2025-10-22 Llorenç Escolà-Farràs , Léo Colisson Palais , Florian Speelman

Several notions of game enjoy a Nash-like notion of equilibrium without guarantee of existence. There are different ways of weakening a definition of Nash-like equilibrium in order to guarantee the existence of a weakened equilibrium.…

Computer Science and Game Theory · Computer Science 2007-12-11 Stéphane Le Roux
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