A Study of Quantum Strategies for Newcomb's Paradox
Takashi Mihara
DOI: 10.4236/ib.2010.21004   PDF    HTML   XML   6,318 Downloads   9,782 Views  


Newcomb’s problem is a game between two players, one of who has an ability to predict the future: let Bob have an ability to predict Alice’s will. Now, Bob prepares two boxes, Box1 and Box2, and Alice can select either Box2 or both boxes. Box1 contains $1. Box2 contains $1,000 only if Alice selects only Box2; otherwise Box2 is empty($0). Which is better for Alice? Since Alice cannot decide which one is better in general, this problem is called Newcomb’s paradox. In this paper, we propose quantum strategies for this paradox by Bob having quantum ability. Many other results including quantum strategies put emphasis on finding out equilibrium points. On the other hand, our results put emphasis on whether a player can predict another player’s will. Then, we show some positive solutions for this problem.

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T. Mihara, "A Study of Quantum Strategies for Newcomb's Paradox," iBusiness, Vol. 2 No. 1, 2010, pp. 42-50. doi: 10.4236/ib.2010.21004.

Conflicts of Interest

The authors declare no conflicts of interest.


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