Wu, Haoyang (2010): A classical algorithm to break through Maskin's theorem for smallscale cases.

PDF
MPRA_paper_22402.pdf Download (532kB)  Preview 
Abstract
Quantum mechanics has been applied to game theory for years. A recent work [H. Wu, Quantum mechanism helps agents combat ``bad'' social choice rules. \emph{International Journal of Quantum Information}, 2010 (accepted). Also see http://arxiv.org/pdf/1002.4294v3] has generalized quantum mechanics to the theory of mechanism design (a reverse problem of game theory). Although the quantum mechanism is theoretically feasible, agents cannot benefit from it immediately due to the restriction of current experimental technologies. In this paper, a classical algorithm is proposed to help agents combat ``bad'' social choice rules immediately. The algorithm works well when the number of agents is not very large (e.g., less than 20). Since this condition is acceptable for smallscale cases, it can be concluded that the Maskin's sufficiency theorem has been broken through for smallscale cases just right now. In the future, when the experimental technologies for quantum information are commercially available, the Wu's quantum mechanism will break through the Maskin's sufficiency theorem completely.
Item Type:  MPRA Paper 

Original Title:  A classical algorithm to break through Maskin's theorem for smallscale cases 
Language:  English 
Keywords:  Quantum games; Prisoners' Dilemma; Mechanism design. 
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:  22402 
Depositing User:  Haoyang Wu 
Date Deposited:  22 Aug 2010 00:24 
Last Modified:  26 Oct 2016 22:44 
References:  E. Maskin, \emph{Rev. Econom. Stud.} \textbf{66} (1999) 2338. H. Wu, Quantum mechanism helps agents combat ``bad'' social choice rules. \emph{International Journal of Quantum Information}, 2010 (accepted). Also see http://arxiv.org/pdf/1002.4294v3 R. Serrano, \emph{SIAM Review} \textbf{46} (2004) 377414. A.P. Flitney and L.C.L. Hollenberg, \emph{Phys. Lett. A} \textbf{363} (2007) 381388. T.D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe and J.L. O'Brien, \emph{Nature}, \textbf{464} (2010) 4553. 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/22402 