Entanglement gives rise to Pareto optimality in the generalised quantum Hawk-Dove Game

E. A. B. Lindsell; K. Wiesner

Entanglement gives rise to Pareto optimality in the generalised quantum Hawk-Dove Game

E. A. B. Lindsell, K. Wiesner

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Abstract

We quantise the generalised Hawk-Dove Game. By restricting the strategy space available to the players, we show that every game of this type can be extended into the quantum realm to produce a Pareto optimal evolutionarily stable strategy. This equilibrium replaces the inefficient classical one when the entanglement prepared in the game exceeds a critical threshold value, which we derive analytically.

Original language	English
Number of pages	7
Journal	arXiv
Publication status	Published - 14 Oct 2014

Keywords

Hawk-Dove Game
entanglement
quantum games
ESS
Pareto efficiency

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title = "Entanglement gives rise to Pareto optimality in the generalised quantum Hawk-Dove Game",

abstract = "We quantise the generalised Hawk-Dove Game. By restricting the strategy space available to the players, we show that every game of this type can be extended into the quantum realm to produce a Pareto optimal evolutionarily stable strategy. This equilibrium replaces the inefficient classical one when the entanglement prepared in the game exceeds a critical threshold value, which we derive analytically.",

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N2 - We quantise the generalised Hawk-Dove Game. By restricting the strategy space available to the players, we show that every game of this type can be extended into the quantum realm to produce a Pareto optimal evolutionarily stable strategy. This equilibrium replaces the inefficient classical one when the entanglement prepared in the game exceeds a critical threshold value, which we derive analytically.

AB - We quantise the generalised Hawk-Dove Game. By restricting the strategy space available to the players, we show that every game of this type can be extended into the quantum realm to produce a Pareto optimal evolutionarily stable strategy. This equilibrium replaces the inefficient classical one when the entanglement prepared in the game exceeds a critical threshold value, which we derive analytically.

KW - Hawk-Dove Game

KW - entanglement

KW - quantum games

KW - ESS

KW - Pareto efficiency

UR - https://arxiv.org/abs/1410.3631

M3 - Article (Academic Journal)

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JF - arXiv

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Entanglement gives rise to Pareto optimality in the generalised quantum Hawk-Dove Game

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