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On subgame perfect equilibria in quantum Stackelberg duopoly with incomplete information. (English) Zbl 1404.91064

Summary: The Li-Du-Massar quantum duopoly model is one of the generally accepted quantum game schemes. It has applications in a wide range of duopoly problems. Our purpose is to study Stackelberg’s duopoly with incomplete information in the quantum domain. The result of Lo and Kiang has shown that the correlation of players’ quantities caused by the quantum entanglement enhances the first-mover advantage in the game. Our work demonstrates that there is no first-mover advantage if the players’ actions are maximally correlated. Furthermore, we prove that the second mover gains a higher equilibrium payoff than the first one.

MSC:

91A65 Hierarchical games (including Stackelberg games)
91B54 Special types of economic markets (including Cournot, Bertrand)
81P15 Quantum measurement theory, state operations, state preparations
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