Experimental Validation of Quantum Game Theory

TL;DR

This paper validates quantum game theory through experimental data from Prisoner's Dilemma games, showing quantum models can predict cooperation levels as accurately as classical theories, with a new classification scheme based on quantum indicators.

Contribution

It introduces a novel quantum classification scheme for cooperation in two-player games and demonstrates its effectiveness in matching experimental data.

Findings

Quantum indicators effectively predict cooperation levels.

Quantum models match classical predictions in accuracy.

A new classification scheme for quantum cooperation is proposed.

Abstract

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.