Competition of different evaluation schemes in the continuous variable game

TL;DR

This paper investigates a generalized Cournot duopoly game with quantum and classical measurement schemes, revealing that classical schemes tend to outperform quantum ones due to fluctuations causing disadvantages for quantum players.

Contribution

It introduces an asymmetric generalization of Cournot's duopoly with a simulation scheme for its quantized version, highlighting the impact of measurement schemes on game outcomes.

Findings

Classical measurement schemes outperform quantum schemes in the game.

Fluctuations cause disadvantages for quantum players.

Simulation results demonstrate the dominance of classical strategies.

Abstract

An asymmetric generalization of classical Cournot's duopoly game was introduced and the simulation scheme of its quantized version was analyzed. In this scheme, the player assigned by a 'classical' measurement scheme always wins the player assigned by a quantum measurement scheme. It was shown that the fluctuation causes the disadvantage game rule of the 'quantum' player.