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Is quantum probability rational?

  • Alasdair I. Houston (a1) and Karoline Wiesner (a2)

Abstract

We concentrate on two aspects of the article by Pothos & Busemeyer (P&B): the relationship between classical and quantum probability and quantum probability as a basis for rational decisions. We argue that the mathematical relationship between classical and quantum probability is not quite what the authors claim. Furthermore, it might be premature to regard quantum probability as the best practical rational scheme for decision making.

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Houston, A. I., McNamara, J. M. & Steer, M. D. (2007a) Do we expect natural selection to produce rational behaviour? Philosophical Transactions of the Royal Society 362:1531–43.
Houston, A. I., McNamara, J. M. & Steer, M. D. (2007b) Violations of transitivity under fitness maximization. Biology Letters 3:365–67.
McNamara, J. M., Trimmer, P. C. & Houston, A. I. (2012) The ecological rationality of state-dependent valuation. Psychological Review 119:114–19.
Streater, R. F. (2000) Classical and quantum probability. Journal of Mathematical and Physics 41:3556–603.

Is quantum probability rational?

  • Alasdair I. Houston (a1) and Karoline Wiesner (a2)

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