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Related papers: Non-Cooperative Quantum Game Theory

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We study the influence of Unruh effect on quantum non-zero sum games. In particular, we investigate the quantum Prisoners' Dilemma both for entangled and unentangled initial states and show that the acceleration of the noninertial frames…

Quantum Physics · Physics 2012-02-13 Salman Khan , M. K. Khan

We construct quantum games from a table of non-factorizable joint probabilities, coupled with a symmetry constraint, requiring symmetrical payoffs between the players. We give the general result for a Nash equilibrium and payoff relations…

Quantum Physics · Physics 2015-05-19 James M. Chappell , Azhar Iqbal , Derek Abbott

Quantum theory (QT) has been confirmed by numerous experiments, yet we still cannot fully grasp the meaning of the theory. As a consequence, the quantum world appears to us paradoxical. Here we shed new light on QT by having it follow from…

Quantum Physics · Physics 2019-02-12 Alessio Benavoli , Alessandro Facchini , Marco Zaffalon

Prisoner's dilemma has been heavily studied. In classical model, each player chooses to either "Cooperate" or "Defect". In this paper, we generalize the prisoner's dilemma with a new alternative which is neither defect or cooperation. The…

Computer Science and Game Theory · Computer Science 2014-03-17 Xinyang Deng , Qi Liu , Yong Deng

In this work, we present a logical formalism for reasoning about quantum systems in finite dimension. Contrary to the usual approach in quantum logic, our formalism is based classical first-order logic, which allows us to use the tools of…

Quantum Physics · Physics 2026-02-19 Olivier Brunet

A framework for discussing relationships between different types of games is proposed. Within the framework, quantum simultaneous games, finite quantum simultaneous games, quantum sequential games, and finite quantum sequential games are…

Quantum Physics · Physics 2007-11-06 Naoki Kobayashi

We propose a quantum-like description of markets and economics. The approach has roots in the recently developed quantum game theory.

Quantum Physics · Physics 2015-06-26 E. W. Piotrowski , J. Sladkowski

A number of phenomena generally believed characteristic of quantum mechanics and seen as interpretively problematic--the incompatibility and value-indeterminacy of variables, the non-existence of dispersion-free states, the failure of the…

Quantum Physics · Physics 2007-05-23 K. A. Kirkpatrick

Quantum games represent the really 21st century branch of game theory, tightly linked to the modern development of quantum computing and quantum technologies. The main accent in these developments so far was made on stationary or repeated…

Optimization and Control · Mathematics 2022-05-03 Vassili Kolokoltsov

Using the representation introduced in our another paper\cite{frame}, the well-known Quantum Prisoner's Dilemma proposed in \cite{jens}, is reexpressed and calculated. By this example and the works in \cite{frame} on classical games and…

Quantum Physics · Physics 2007-05-23 Jinshan Wu

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…

Quantum Physics · Physics 2009-11-13 Ahmad Nawaz , A. H. Toor

Most of atoms and molecule found in nature are capable of evolving towards and staying at their ground states, the lowest energy states. This paper offers a global optimization approach to understand the ground state as the equilibrium…

Computer Science and Game Theory · Computer Science 2010-04-14 Xiaofei Huang

This article provides an overview of existing quantum physics-related games, referred to as \textit{quantum games}, that serve citizen science research in quantum physics. Additionally, we explore the connection between citizen science and…

Quantum Physics · Physics 2025-02-14 Laura Piispanen

Departing from the usual paradigm of local operations and classical communication adopted in entanglement theory, here we study the interconversion of quantum states by means of local operations and shared randomness. A set of necessary and…

Quantum Physics · Physics 2012-05-18 Francesco Buscemi

We continue the analysis of quantum-like description of markets and economics. The approach has roots in the recently developed quantum game theory and quantum computing. The present paper is devoted to quantum bargaining games which are a…

Quantum Physics · Physics 2009-11-07 E. W. Piotrowski , J. Sladkowski

After having explained Samuel Clarke's conception of the new philosophy of physical reality, we will treat the electron field in this context as a field modifying the void. From this we will be able to derive the so-called quantum rules…

Mathematical Physics · Physics 2007-05-23 Constantin Piron

We present a consistent formulation of quantum game theory that accommodates all possible strategies in Hilbert space. The physical content of the quantum strategy is revealed as a family of classical games representing altruistic game play…

Quantum Physics · Physics 2009-11-13 Taksu Cheon

Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The paper presents the history, basic ideas and recent development in quantum game theory. In this…

Quantum Physics · Physics 2007-05-23 E. W. Piotrowski , J. Sladkowski

Quantization becomes a new way to study classical game theory since quantum strategies and quantum games have been proposed. In previous studies, many typical game models, such as prisoner's dilemma, battle of the sexes, Hawk-Dove game,…

Computer Science and Game Theory · Computer Science 2016-08-03 Xinyang Deng , Yong Deng , Qi Liu , Zhen Wang

Getting a group to adopt cooperative norms is an enduring challenge. But in real-world settings, individuals don't just passively accept static environments, they act both within and upon the social systems that structure their…

Social and Information Networks · Computer Science 2025-02-11 Qiankun Zhong , Nori Jacoby , Ofer Tchernichovski , Seth Frey