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We consider the problem of a particular kind of quantum correlation that arises in some two-party games. In these games, one player is presented with a question they must answer, yielding an outcome of either 'win' or 'lose'. Molina and…

Quantum Physics · Physics 2017-03-14 Srinivasan Arunachalam , Abel Molina , Vincent Russo

A quantum board game is a multi-round protocol between a single quantum player against the quantum board. Molina and Watrous discovered quantum hedging. They gave an example for perfect quantum hedging: a board game with winning probability…

Quantum Physics · Physics 2017-06-19 Maor Ganz , Or Sattath

We study a modification of the so-called Parrondo's paradox where a large number of individuals choose the game they want to play by voting. We show that it can be better for the players to vote randomly than to vote according to their own…

Physics and Society · Physics 2014-10-03 L. Dinis , J. M. R. Parrondo

Quantum games have gained much popularity in the last two decades. Many of these quantum games are a redefinition of iconic classical games to fit the quantum world, and they gain many different properties and solutions in this different…

We construct a non-locality game that can be won with certainty by a quantum strategy using log n shared EPR-pairs, while any classical strategy has winning probability at most 1/2+O(log n/sqrt{n}). This improves upon a recent result of…

Quantum Physics · Physics 2010-07-15 Harry Buhrman , Giannicola Scarpa , Ronald de Wolf

We study a random game in which two players in turn play a fixed number of moves. For each move, there are two possible choices. To each possible outcome of the game we assign a winner in an i.i.d. fashion with a fixed parameter p. In the…

Probability · Mathematics 2024-09-05 Natalia Cardona-Tobón , Anja Sturm , Jan M. Swart

In a recent work on quantum state preparation, S{\o}rensen and colleagues explore the possibility of using video games to help design quantum control protocols. The authors present a game called "Quantum Moves" in which gamers have to move…

Quantum Physics · Physics 2018-04-24 Dries Sels

We extend the prepare-and-measure frequency-time coding quantum key distribution(FT-QKD) protocol to an entanglement based FT-QKD protocol. The latter can be implemented with a correlated frequency measurement scheme based on a time…

Quantum Physics · Physics 2014-06-23 Bing Qi

In the Eisert protocol for 2 X 2 quantum games [Phys. Rev. Lett. 83, 3077], a number of authors have investigated the features arising from making the strategic space a two-parameter subset of single qubit unitary operators. We argue that…

Quantum Physics · Physics 2009-11-13 Adrian P. Flitney , Lloyd C. L. Hollenberg

This paper proposes and studies a general form of dynamic $N$-player non-cooperative games called $\alpha$-potential games, where the change of a player's value function upon her unilateral deviation from her strategy is equal to the change…

Optimization and Control · Mathematics 2025-04-02 Xin Guo , Xinyu Li , Yufei Zhang

We consider generalized Nash equilibrium (GNE) problems in games with strongly monotone pseudo-gradients and jointly linear coupling constraints. We establish the convergence rate of a payoff-based approach intended to learn a variational…

Optimization and Control · Mathematics 2024-11-14 Tatiana Tatarenko , Maryam Kamgarpour

Hartle and Srednicki have suggested that standard quantum theory does not favor our typicality. Here an alternative version is proposed in which typicality is likely, Eventual Quantum Mechanics. This version allows one to calculate…

High Energy Physics - Theory · Physics 2008-11-26 Don N. Page

In many cases the Nash equilibria are not predictive of the experimental players' behaviour. For some games of Game Theory it is proposed here a method to estimate the probabilities with which the different options will be actually chosen…

Optimization and Control · Mathematics 2014-04-10 Cesco Reale

In the inference attacks studied in Quantitative Information Flow (QIF), the attacker typically tries to interfere with the system in the attempt to increase its leakage of secret information. The defender, on the other hand, typically…

Cryptography and Security · Computer Science 2018-05-22 Mário S. Alvim , Konstantinos Chatzikokolakis , Yusuke Kawamoto , Catuscia Palamidessi

A game-theoretic setting provides a mathematical basis for analysis of strategic interaction among competing agents and provides insights into both classical and quantum decision theory and questions of strategic choice. An outstanding…

Quantum Physics · Physics 2018-07-24 Azhar Iqbal , James M. Chappell , Derek Abbott

We investigate a multi-player and multi-choice quantum game. We start from two-player and two-choice game and the result is better than its classical version. Then we extend it to N-player and N-choice cases. In the quantum domain, we…

Quantum Physics · Physics 2009-11-06 Jiangfeng Du , Hui Li , Xiaodong Xu , Xianyi Zhou , Rongdian Han

The $N$-player quantum game is analyzed in the context of an Einstein-Podolsky-Rosen (EPR) experiment. In this setting, a player's strategies are not unitary transformations as in alternate quantum game-theoretic frameworks, but a classical…

Quantum Physics · Physics 2012-11-16 James M. Chappell , Azhar Iqbal , Derek Abbott

Considering linear-quadratic discrete-time games with unknown input/output/state (i/o/s) dynamics and state, we provide necessary and sufficient conditions for the existence and uniqueness of feedback Nash equilibria (FNE) in the…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Shengyuan Huang , Xiaoguang Yang , Zhigang Cao , Wenjun Mei

Quantized neural networks (QNNs) have received increasing attention in resource-constrained scenarios due to their exceptional generalizability. However, their robustness against realistic black-box adversarial attacks has not been…

Cryptography and Security · Computer Science 2024-02-20 Yulong Yang , Chenhao Lin , Qian Li , Zhengyu Zhao , Haoran Fan , Dawei Zhou , Nannan Wang , Tongliang Liu , Chao Shen

We study a referential game (a type of signaling game) where two agents communicate with each other via a discrete bottleneck to achieve a common goal. In our referential game, the goal of the speaker is to compose a message or a symbolic…

Computer Vision and Pattern Recognition · Computer Science 2021-11-03 Kamal Gupta , Gowthami Somepalli , Anubhav Gupta , Vinoj Jayasundara , Matthias Zwicker , Abhinav Shrivastava