2 research outputs found
Quantum games of opinion formation based on the Marinatto-Weber quantum game scheme
Quantization becomes a new way to study classical game theory since quantum
strategies and quantum games have been proposed. In previous studies, many
typical game models, such as prisoner's dilemma, battle of the sexes, Hawk-Dove
game, have been investigated by using quantization approaches. In this paper,
several game models of opinion formations have been quantized based on the
Marinatto-Weber quantum game scheme, a frequently used scheme to convert
classical games to quantum versions. Our results show that the quantization can
change fascinatingly the properties of some classical opinion formation game
models so as to generate win-win outcomes.Comment: 19 page
A quantum extension to inspection game
Quantum game theory is a new interdisciplinary field between game theory and
physical research. In this paper, we extend the classical inspection game into
a quantum game version by quantizing the strategy space and importing
entanglement between players. Our result shows that the quantum inspection game
has various Nash equilibrium depending on the initial quantum state of the
game. It is also shown that quantization can respectively help each player to
increase his own payoff, yet fails to bring Pareto improvement for the
collective payoff in the quantum inspection game.Comment: 6 page