Solving diner's dilemma game, circuit implementation, and verification on IBMQ simulator

TL;DR

This paper addresses the quantum version of the diner's dilemma game, implementing and verifying the quantum strategies on IBMQ simulator to demonstrate advantages over classical approaches.

Contribution

It introduces a quantum solution for the four-player diner's dilemma, including circuit implementation and verification on a quantum simulator, highlighting quantum advantages.

Findings

Quantum strategies remove the dilemma between Pareto optimality and Nash equilibrium.

Maximum payoff strategies are identified using quantum principles.

Circuit implementation on IBMQ confirms the effectiveness of quantum strategies.

Abstract

Diners dilemma is one of the most interesting problems in both economic and game theories. Here, we solve this problem for n (number of players) =4 with quantum rules and we are able to remove the dilemma of diners between the Pareto optimal and Nash equilibrium points of the game. We find the quantum strategy that gives maximum payoff for each diner without affecting the payoff and strategy of others. We use the quantum principles of superposition and entanglement that gives supremacy over any classical strategies. We present the circuit implementation for the game, design it on the IBM quantum simulator and verify the strategies in the quantum model.