Quantum games on evolving random networks

Pawela, Łukasz

doi:10.1016/j.physa.2016.04.022

Cited by 14 publications

(8 citation statements)

References 22 publications

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“…This study contains the following innovations: (1) it proposes an improved L-V model using quantum game theory to investigate population dynamics in an open system, putting aside the assumptions of two ecological competitors, two choices and independent strategies as in the Lotka-Volterra model; (2) In comparison with previous studies using the L-V model, such as Novak et al [14,15], our proposed model exhibits swapping information and state superposition. Swapping information refers to non-revealed and continuous random information, which represent strategy interactions [34][35][36]], such as learning from participating in repeated games, influenced by the amount of disposable information [37]. The game state is superposed in our model rather than mixed, and thus can be denoted by a qubit or tensor products of multiple qubits.…”

Section: Introductionmentioning

confidence: 99%

An Improved Lotka–Volterra Model Using Quantum Game Theory

Huang

Delang

et al. 2021

Mathematics

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Human decision-making does not conform to the independent decision-making hypothesis from classical decision-making theory. Thus, we introduce quantum decision-making theory into the Lotka–Volterra model (L–V model), to investigate player population dynamics while incorporating the initial strategy, game payoffs and interactive strategies in an open social system. Simulation results show that: (1) initial strategy, entanglement intensity of strategy interaction, and payoffs impact population dynamics; (2) In cooperative coexistence, game players mutually exceed the initial environmental capacity in an open system, but not in competitive coexistence; (3) In competitive coexistence, an initial strategy containing an entanglement intensity of strategies plays a vital role in game outcomes. Furthermore, our proposed model more realistically delineates the characteristics of population dynamics in competitive or cooperative coexistence scenarios.

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Section: Introductionmentioning

confidence: 99%

An Improved Lotka–Volterra Model Using Quantum Game Theory

Huang

Delang

et al. 2021

Mathematics

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“…Upon the same perception of the features, goals, and so on, as revealed in observations such as questionnaires, individuals could exhibit various degrees of appraisal of, for The use of logical operators as the building blocks of the model can be further rationalized when interpreting the decision-making process of the Coppélia system as a game aiming at a unanimous choice by conceptualizing the system's goals as "players", the features or the choice of actions as strategies, and expected satisfaction values as the payoff. Recently, quantum strategies have been proposed as a stochastic solution of a game that allows enhanced capabilities of judgment for better utility [45][46][47] . Modeling usually begins with a "bottom-up" formulation of unitary operations that abide by mathematical rules as the strategies of choice 48 .…”

Section: A Comparison Of and And Or Between Fuzzy And Quantum Logicsmentioning

confidence: 99%

Quantum affective processes for multidimensional decision-making

Ho¹,

Hoorn

2022

Sci Rep

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In modeling the human affective system and applying lessons learned to human–robot interaction, the challenge is to handle ambiguous emotional states of an agency (whether human or artificial), probabilistic decisions, and freedom of choice in affective and behavioral patterns. Moreover, many cognitive processes seem to run in parallel whereas seriality is the standard in conventional computation. Representation of contextual aspects of behavior and processes and of self-directed neuroplasticity are still wanted and so we attempt a quantum-computational construction of robot affect, which theoretically should be able to account for indefinite and ambiguous states as well as parallelism. Our Quantum Coppélia (Q-Coppélia) is a translation into quantum logics of the fuzzy-based Silicon Coppélia system, which simulates the progression of a robot’s attitude towards its user. We show the entire circuitry of the Q-Coppélia framework, aiming at contemporary descriptions of (neuro)psychological processes. Arguably, our work provides a system for simulating and handling affective interactions among various agencies from an understanding of the relations between quantum algorithms and the fundamental nature of psychology.

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“…In [13], the authors quantize the gamble known as Russian roulette. More recently, [14] studied the advantages of quantum strategies in evolutionary social dilemmas on evolving random networks, focusing on two-player games such as the prisoner's dilemma, snowdrift, and stag hunt. Quantum game theory has been applied to a wide variety of phenomena where quantum laws rule; these include social decision theory [15], bioprocesses that obey quantum statistical mechanics [16,17], and quantum communications.…”

Section: Quantum Games and Communicationsmentioning

confidence: 99%

Quantum game application to spectrum scarcity problems

Zabaleta

Barrangu

Arizmendi

2017

Physica A: Statistical Mechanics and its Applications

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Recent spectrum-sharing research has produced a strategy to address spectrum scarcity problems. This novel idea, named cognitive radio, considers that secondary users can opportunistically exploit spectrum holes left temporarily unused by primary users. This presents a competitive scenario among cognitive users, making it suitable for game theory treatment. In this work, we show that the spectrum-sharing benefits of cognitive radio can be increased by designing a medium access control based on quantum game theory. In this context, we propose a model to manage spectrum fairly and effectively, based on a multiple-users multiple-choice quantum minority game. By taking advantage of quantum entanglement and quantum interference, it is possible to reduce the probability of collision problems commonly associated with classic algorithms. Collision avoidance is an essential property for classic and quantum communications systems. In our model, two different scenarios are considered, to meet the requirements of different user strategies. The first considers sensor networks where the rational use of energy is a cornerstone; the second focuses on installations where the quality of service of the entire network is a priority.

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Quantum games on evolving random networks

Cited by 14 publications

References 22 publications

An Improved Lotka–Volterra Model Using Quantum Game Theory

An Improved Lotka–Volterra Model Using Quantum Game Theory

Quantum affective processes for multidimensional decision-making

Quantum game application to spectrum scarcity problems

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