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

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