Faisal Shah Khan, Simon J. D. Phoenix
In the time since a merger of quantum mechanics and game theory was proposed
formally in 1999, the two distinct perspectives apparent in this merger of
applying quantum mechanics to game theory, referred to henceforth as the theory
of "quantized games", and of applying game theory to quantum mechanics,
referred to henceforth as "gaming the quantum" have become synonymous with each
other under the single ill-defined term "quantum game". Here, these two
perspectives are delineated and a game-theoretically proper description of what
makes a multiplayer, non-cooperative game quantum mechanical is given. Further,
a characterization of the notion of Nash equilibrium is given as a simultaneous
best approximation problem in the joint state space of quantum objects.
View original:
http://arxiv.org/abs/1202.1142
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