Wu, Haoyang (2010): Quantum mechanism helps agents combat Paretoinefficient social choice rules.

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Abstract
Quantum strategies have been successfully applied in game theory for years. However, as a reverse problem of game theory, the theory of mechanism design is ignored by physicists. In this paper, we generalize the classical theory of mechanism design to a quantum domain and obtain two results: 1) We find that the mechanism in the proof of Maskin's sufficiency theorem is built on the Prisoners' Dilemma. 2) By virtue of a quantum mechanism, agents who satisfy a certain condition can combat Paretoinefficient social choice rules instead of being restricted by the traditional mechanism design theory.
Item Type:  MPRA Paper 

Original Title:  Quantum mechanism helps agents combat Paretoinefficient social choice rules 
Language:  English 
Keywords:  Quantum games; Mechanism design; Implementation theory; Nash implementation; Maskin monotonicity 
Subjects:  D  Microeconomics > D7  Analysis of Collective DecisionMaking > D71  Social Choice ; Clubs ; Committees ; Associations C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C72  Noncooperative Games 
Item ID:  21552 
Depositing User:  Haoyang Wu 
Date Deposited:  22 Mar 2010 23:04 
Last Modified:  27 Sep 2019 16:55 
References:  J. von Neumann, O. Morgenstern, Theory of Games and Economic Behavior, Princeton University Press, Princeton, 1944. R. Serrano, SIAM Review \textbf{46}, 377 (2004). E. Maskin, Rev.Econom.Stud. \textbf{66}, 23 (1999). E. Maskin, T. Sj\"{o}str\"{o}m, Implementation theory, in: K.J.Arrow, A.Sen, K.Suzumura (Eds.), Handbook of Social Choice and Welfare, Vol.1, Elsevier Science, New York, 2002, pp. 237288. J. Eisert, M. Wilkens, M. Lewenstein, Phys. Rev. Lett. \textbf{83}, 3077 (1999). D. Meyer, Phys. Rev. Lett. \textbf{82}, 1052 (1999). S.C. Benjamin, P.M. Hayden, Phys. Rev. A \textbf{64}, 030301(R) (2001). J. Du, H. Li, X. Xu et al, Phys. Lett. A \textbf{302}, 229 (2002). A.P. Flitney, L.C.L. Hollenberg, 2007, Phys. Lett. A \textbf{363}, 381 (2007). S. J. van Enk, R. Pike, Phys. Rev. A \textbf{66}, 024306 (2002). 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/21552 