scholarly journals Quantum Game Theory for Beam Alignment in Millimeter Wave Device-to-Device Communications

2016 ◽  
Author(s):  
Qianqian Zhang ◽  
Walid Saad ◽  
Mehdi Bennis ◽  
Merouane Debbah
Keyword(s):  
Game Theory ◽  
Millimeter Wave ◽  
Quantum Game ◽  
Device To Device ◽  
Wave Device

scholarly journals Real-Time Positioning Based on Millimeter Wave Device to Device Communications

IEEE Access ◽  
2016 ◽  
Vol 4 ◽  
pp. 5520-5530 ◽  
Author(s):  
Xuerong Cui ◽  
Thomas Aaron Gulliver ◽  
Houbing Song ◽  
Juan Li
Keyword(s):  
Real Time ◽  
Millimeter Wave ◽  
Device To Device ◽  
Wave Device

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.

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