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We consider a coalitional game with the same payoff for all players. To maximize the payoff, the players need to use one collective strategy, if all players are in certain states, and the other strategy otherwise. The current state of each…

量子物理 · 物理学 2007-05-23 Gleb V. Klimovitch

Wealthy individuals may be less tempted to defect than those with comparatively low payoffs. To take this into consideration, we introduce coevolutionary success-driven multigames in structured populations. While the core game is always the…

物理与社会 · 物理学 2014-10-17 Attila Szolnoki , Matjaz Perc

The behavior of entangled quantum systems can generally not be explained as being determined by shared classical randomness. In the first part of this paper, we propose a simple game for n players demonstrating this non-local property of…

量子物理 · 物理学 2013-01-01 Renato Renner , Stefan Wolf

So far, the theory of equilibrium selection in the infinitely repeated prisoner's dilemma is insensitive to communication possibilities. To address this issue, we incorporate the assumption that communication reduces -- but does not…

理论经济学 · 经济学 2023-04-25 Maximilian Andres

In a seminal paper, Meyer [David Meyer, Phys. Rev. Lett. 82, 1052 (1999)] described the advantages of quantum game theory by looking at the classical penny flip game. A player using a quantum strategy can win against a classical player…

量子物理 · 物理学 2015-10-29 Namit Anand , Colin Benjamin

We present a collaboration ring model -- a network of players playing the prisoner's dilemma game and collaborating among the nearest neighbours by forming coalitions. The microscopic stochastic updating of the players' strategies are…

物理与社会 · 物理学 2026-02-13 Joy Das Bairagya , Jonathan Newton , Sagar Chakraborty

We propose a scheme for a quantum game based on performing an EPR type experiment and in which each player's spatial directional choices are considered as their strategies. A classical mixed-strategy game is recovered by restricting the…

量子物理 · 物理学 2022-06-16 Azhar Iqbal , Derek Abbott

The paradox of cooperation among selfish individuals still puzzles scientific communities. Although a large amount of evidence has demonstrated that cooperator clusters in spatial games are effective to protect cooperators against the…

物理与社会 · 物理学 2015-06-24 Han-Xin Yang , Zhihai Rong , Wen-Xu Wang

We have studied the impact of time-dependent learning capacities of players in the framework of spatial prisoner's dilemma game. In our model, this capacity of players may decrease or increase in time after strategy adoption according to a…

物理与社会 · 物理学 2010-09-21 Attila Szolnoki , Zhen Wang , Jinlong Wang , Xiaodan Zhu

We introduce a method of analyzing entanglement enhanced quantum games on regular lattices of agents. Our method is valid for setups with periodic and non-periodic boundary conditions. To demonstrate our approach we study two different…

量子物理 · 物理学 2014-08-20 Jarosław Adam Miszczak , Łukasz Pawela , Jan Sładkowski

We propose an experimental implementation of a quantum game algorithm in a hybrid scheme combining the quantum circuit approach and the cluster state model. An economical cluster configuration is suggested to embody a quantum version of the…

量子物理 · 物理学 2009-11-11 M. Paternostro , M. S. Tame , M. S. Kim

This paper addresses a mathematically tractable model of the Prisoner's Dilemma using the framework of active inference. In this work, we design pairs of Bayesian agents that are tracking the joint game state of their and their opponent's…

物理与社会 · 物理学 2023-08-31 Daphne Demekas , Conor Heins , Brennan Klein

A cooperative multi-player quantum game played by 3 and 4 players has been studied. Quantum superposed operator is introduced in this work which solves the non-zero sum difficulty in previous treatment. The role of quantum entanglement of…

量子物理 · 物理学 2015-06-26 Ying Jun Ma , Gui Lu Long , Fu Guo Deng , Feng Li , Sheng-Xing Zhang

Effects of a corrupt source on the dynamics of simultaneous move strategic games are analyzed both for classical and quantum settings. The corruption rate dependent changes in the payoffs and strategies of the players are observed. It is…

量子物理 · 物理学 2007-08-07 Sahin Kaya Ozdemir , Junichi Shimamura , Nobuyuki Imoto

Competition among cooperators, defectors, and loners is studied in an evolutionary prisoner's dilemma game with optional participation. Loners are risk averse i.e. unwilling to participate and rather rely on small but fixed earnings. This…

无序系统与神经网络 · 物理学 2009-11-07 Gyorgy Szabo , Christoph Hauert

We describe a quantum model of simple choice game (constructed upon entangled state of two qubits), which involves the fundamental problem of transitive - intransitive preferences. We compare attainability of optimal intransitive strategies…

量子物理 · 物理学 2015-05-27 Marcin Makowski , Edward W. Piotrowski

Quantum uncertainty is a well-known property of quantum mechanics that states the impossibility of predicting measurement outcomes of multiple incompatible observables simultaneously. In contrast, the uncertainty in the classical domain…

Quantum game theory offers a lot of interesting questions, and it is relevant to use the quantum information theory to resolve or improve games with lack of information : how to use the power of quantum entanglement to show the superiority…

量子物理 · 物理学 2007-05-23 Sylvain Gravier , Philippe Jorrand , Mehdi Mhalla , Charles Payan

The game of Prisoner Dilemma is analyzed to study the role of measurement basis in quantum games. Four different types of payoffs for quantum games are identified on the basis of different combinations of initial state and measurement…

量子物理 · 物理学 2009-11-13 Ahmad Nawaz , A. H. Toor

Attention to the very physical aspects of information characterizes the current research in quantum computation, quantum cryptography and quantum communication. In most of the cases quantum description of the system provides advantages over…

量子物理 · 物理学 2016-09-08 Edward W. Piotrowski , Jan Sladkowski