scholarly journals Physical Realization of a Quantum Game

10.5772/54216 ◽  
2013 ◽  
Author(s):  
A.M. Kowalski ◽  
A. Plastino ◽  
M. Casas
Keyword(s):  
Quantum Game ◽  
Physical Realization

scholarly journals The Superiority of Quantum Strategy in 3-Player Prisoner’s Dilemma

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1443
Author(s):  
Zhiyuan Dong ◽  
Ai-Guo Wu
Keyword(s):  
Game Theory ◽  
Prisoner's Dilemma ◽  
Prisoner’S Dilemma ◽  
Quantum Game ◽  
Final State ◽  
The Game Theory ◽  
Initial States ◽  
Quantum Strategy ◽  
Selection Of

In this paper, we extend the quantum game theory of Prisoner’s Dilemma to the N-player case. The final state of quantum game theory of N-player Prisoner’s Dilemma is derived, which can be used to investigate the payoff of each player. As demonstration, two cases (2-player and 3-player) are studied to illustrate the superiority of quantum strategy in the game theory. Specifically, the non-unique entanglement parameter is found to maximize the total payoff, which oscillates periodically. Finally, the optimal strategic set is proved to depend on the selection of initial states.

Quantum Game Theory — I

Resonance ◽  
2021 ◽  
Vol 26 (5) ◽  
pp. 671-684
Author(s):  
Indranil Ghosh
Keyword(s):  
Game Theory ◽  
Quantum Game

scholarly journals Quantum Mean-Field Games with the Observations of Counting Type

Games ◽  
2021 ◽  
Vol 12 (1) ◽  
pp. 7
Author(s):  
Vassili N. Kolokoltsov
Keyword(s):  
Game Theory ◽  
Nash Equilibrium ◽  
Open Problem ◽  
Existence And Uniqueness ◽  
Existence Of Solutions ◽  
Mean Field ◽  
Mean Field Games ◽  
Quantum Game ◽  
Quantum Games ◽  
Interesting Open Problem

Quantum games and mean-field games (MFG) represent two important new branches of game theory. In a recent paper the author developed quantum MFGs merging these two branches. These quantum MFGs were based on the theory of continuous quantum observations and filtering of diffusive type. In the present paper we develop the analogous quantum MFG theory based on continuous quantum observations and filtering of counting type. However, proving existence and uniqueness of the solutions for resulting limiting forward-backward system based on jump-type processes on manifolds seems to be more complicated than for diffusions. In this paper we only prove that if a solution exists, then it gives an ϵ-Nash equilibrium for the corresponding N-player quantum game. The existence of solutions is suggested as an interesting open problem.

Quantum Game Theory — III

Resonance ◽  
2021 ◽  
Vol 26 (7) ◽  
pp. 939-951
Author(s):  
Indranil Ghosh
Keyword(s):  
Game Theory ◽  
Quantum Game

OPTIMAL DATABASE SEARCH: WAVES AND CATALYSIS

2006 ◽  
Vol 04 (05) ◽  
pp. 815-825 ◽  
Author(s):  
APOORVA PATEL
Keyword(s):  
Quantum Computation ◽  
Search Algorithm ◽  
Database Search ◽  
Harmonic Oscillators ◽  
Physical Realization ◽  
Classical Wave ◽  
Superposition Of States

Grover's database search algorithm, although discovered in the context of quantum computation, can be implemented using any system that allows superposition of states. A physical realization of this algorithm is described using coupled simple harmonic oscillators, which can be exactly solved in both classical and quantum domains. Classical wave algorithms are far more stable against decoherence compared to their quantum counterparts. In addition to providing convenient demonstration models, they may have a role in practical situations, such as catalysis.

scholarly journals Physical realization of the Glauber quantum oscillator

2015 ◽  
Vol 5 (1) ◽  
Author(s):  
Silvia Gentilini ◽  
Maria Chiara Braidotti ◽  
Giulia Marcucci ◽  
Eugenio DelRe ◽  
Claudio Conti
Keyword(s):  
Quantum Oscillator ◽  
Physical Realization

Quantum Game of Dual-channel Supply Chain under Free-riding Behavior

2021 ◽  
Vol 1 (1) ◽  
pp. 3-17
Author(s):  
Yu-Chung Chang ◽  
Keyword(s):  
Game Theory ◽  
Decision Making ◽  
Quantum Entanglement ◽  
Free Riding ◽  
Selling Price ◽  
Quantum Game ◽  
Optimal Price ◽  
Dual Channel ◽  
Dual Channel Supply Chain ◽  
Classical Game

Based on the perspective of the quantum game, this paper explores when the online direct sales channel takes the free-riding behavior after the retail channel provides high-quality experience and services and how the dual-channel supply chain establishes a commodity pricing strategy. The retailer’s selling price follows a decreasing function of the free-riding behavior coefficient. while the online direct selling price does an increasing function of the free-riding behavior coefficient. Under centralized decision-making, there is no quantum entanglement, so the quantum game solution is consistent with the classical game solution. Under decentralized decision-making, the optimal price and profit of the quantum game are higher than those of the classical game when the quantum entanglement degree is greater than zero. When the quantum entanglement tends to be infinite, the optimal price of the quantum game finally remains in convergence. The quantum game theory is a more optimal decision-making method than the classical game theory.

Physical Realization of Generic-Element Parameters in Model Updating

2002 ◽  
Vol 124 (4) ◽  
pp. 628-633 ◽  
Author(s):  
H. Ahmadian ◽  
J. E. Mottershead ◽  
M. I. Friswell
Keyword(s):  
Model Updating ◽  
Finite Element Models ◽  
Physical Realization ◽  
Governing Equations ◽  
Stiffness Matrices ◽  
Model Predictions ◽  
Physical Effects ◽  
Realization Process ◽  
Physical Phenomena ◽  
Selection Of

The selection of parameters is most important to successful updating of finite element models. When the parameters are chosen on the basis of engineering understanding the model predictions are brought into agreement with experimental observations, and the behavior of the structure, even when differently configured, can be determined with confidence. Physical phenomena may be misrepresented in the original model, or may be absent altogether. In any case the updated model should represent an improved physical understanding of the structure and not simply consist of unrepresentative numbers which happen to cause the results of the model to agree with particular test data. The present paper introduces a systematic approach for the selection and physical realization of updated terms. In the realization process, the discrete equilibrium equation formed by mass, and stiffness matrices is converted to a continuous form at each node. By comparing the resulting differential equation with governing equations known to represent physical phenomena, the updated terms and their physical effects can be recognized. The approach is demonstrated by an experimental example.

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