Entanglement and decoherence: a Quantum Game theoretical approach to cooperation: Quantum Game Theory

Salman, Хан, Ramzan +1 more

Hoor Banu, K. Raghavendra Rao

Noureldin Mohamed Abdelaal Ahmed Mohamed, Huang Taisheng, Pang Jinhui

Matthias Hanauske, Steffen Bernius, Wolfgang Köenig +1 more

This article uses data from two experimental studies of two-person Prisoner's Dilemma games [1, 2] and compares the data with the theoretic predictions calculated with the use of a quantum game theoretical method. The experimental findings of the cooperation percentage Cp indicate a strong connectivity with the properties of a novel function (N), which depends on the payoff parameters of the game and the entanglement parameter . A classification scheme depending on four quantum cooperation indicators is developed to describe cooperation in real two-person games. The quantum indicators lead to results, that are at least as good as the cooperation predictions derived from classical game theory.

Salman Khan, Muhammad Asif Ramzan, Majid Khan

We study the behavior of cooperative multiplayer quantum games [35,36] in the presence of decoherence using different quantum channels such as amplitude damping, depolarizing and phase damping. It is seen that the outcomes of the games for the two damping channels with maximum values of decoherence reduce to same value. However, in comparison to phase damping channel, the payoffs of cooperators are strongly damped under the influence\ amplitude damping channel for\ the lower values of decoherence parameter. In the case of depolarizing channel, the game is a no-payoff game irrespective of the degree of entanglement in the initial state for the larger values of decoherence parameter. The decoherence gets the cooperators worse off.

Indranil Ghosh