A new model for quantum games based on the Marinatto-Weber approach

Abstract

The Marinatto-Weber approach to quantum game is a straightforward way to apply the power of quantum mechanics to classical game theory. In the simplest case, the quantum scheme is that players manipulate their own qubits of a two-qubit state either with the identity operator or the Pauli operator ${\sigma }_x$. However, such a simplification of the scheme raises doubt as to whether it could really reflect a quantum game. In this paper we put forward examples which may constitute arguments against the present form of the Marinatto-Weber scheme. Next, we modify the scheme to eliminate the undesirable properties of the protocol by extending the players' strategy sets.

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Cited by in corpus (5)

• Quantum games: a review of the history, current state, and interpretation
• A new quantum scheme for normal-form games
• Quantum games of opinion formation based on the Marinatto-Weber quantum game scheme
• A quantum extension to inspection game
• Repeated quantum game as a stochastic game: Effects of the shadow of the future and entanglement