A quantum Stackelberg common-pool resource game

Abstract

A sequential common-pool resource game with variable elastic marginal profit is studied in this work both analytically and through numerical simulation. The game is studied in both classic and quantum approaches considering symmetric and asymmetric costs. In the classic approach, it is shown how the increase in the level of inelasticity in the model boosts the leader advantage in the perfect equilibrium solution as well as contributes to the depletion of the resource. The quantum approach enables the emergence of the symmetric Pareto optimal solution when the entanglement increases. Furthermore, for high values of the factor of entanglement, the Pareto solution is reached regardless of the level of elasticity of the game. These results are applicable to the model with symmetric and asymmetric costs.