NDLI: Quantum Coalition of “n Equipartition” Compound Mode in Minority Game

Content Provider	Springer Nature Link
Author	Zhou, Xiao fei Guo, Fen zhuo Zhang, Ke jia
Copyright Year	2015
Abstract	We investigate the quantum coalition in an N-player quantum minority game proposed by Benjamin. N players share an initial entangled state and the measure of entanglement of the initial state is p. The coalition size is n (n < N). When N is odd and when N is even with the restricted condition $n\leq \frac {N}{2}$ , we find a best quantum strategy which can make the expected payoff of each coalition player reach the maximal value in this paper. We compare the expected payoffs of the coalition players before and after the best coalition, and get that whether the players coalition or not is related to p when N is even; when N is odd, the expected payoff can always be improved by coalition which is independent of p. This result provides a theory basis for the choice of the initial state in a minority game. Moreover we propose a quantum minority game with clique-wise entanglement state which can make the expected payoff reach the upper limit and reduce the possibility of coalition.
Starting Page	2549
Ending Page	2561
Page Count	13
File Format	PDF
ISSN	00207748
Journal	International Journal of Theoretical Physics
Volume Number	54
Issue Number	8
e-ISSN	15729575
Language	English
Publisher	Springer US
Publisher Date	2015-01-15
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Quantum coalition “n equipartition” compound mode Quantum minority game Upper limit Expected payoff Physics Quantum Physics Elementary Particles, Quantum Field Theory Theoretical, Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mathematics

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