Wu, Haoyang (2011): On amending the sufficient conditions for Nash implementation.
Preview |
PDF
MPRA_paper_32722.pdf Download (529kB) | Preview |
Abstract
The Maskin's theorem is a fundamental work in the theory of mechanism design. A recent work [Wu, Quantum mechanism helps agents combat ``bad'' social choice rules. \emph{Inter. J. of Quantum Information} 9 (2011) 615-623] shows that when an additional condition is satisfied, the Maskin's theorem will no longer hold if agents use quantum strategies. Although quantum mechanisms are theoretically feasible, they are not applicable to the macro world immediately due to the restriction of current experimental technologies. In this paper, we will go beyond the obstacle of how to realize quantum mechanisms, and propose an algorithmic mechanism which amends the sufficient conditions of the Maskin's theorem immediately just in the macro world (i.e., computer or Internet world).
Item Type: | MPRA Paper |
---|---|
Original Title: | On amending the sufficient conditions for Nash implementation |
Language: | English |
Keywords: | Algorithmic mechanism; Mechanism design; Nash implementation |
Subjects: | D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice ; Clubs ; Committees ; Associations |
Item ID: | 32722 |
Depositing User: | Haoyang Wu |
Date Deposited: | 10 Aug 2011 03:15 |
Last Modified: | 27 Sep 2019 16:35 |
References: | 1. E. Maskin, Nash equilibrium and welfare optimality, \emph{Rev. Econom. Stud.} \textbf{66} (1999) 23-38. 2. H. Wu, Quantum mechanism helps agents combat ``bad'' social choice rules. \emph{International Journal of Quantum Information} \textbf{9} (2011) 615-623. \\ http://arxiv.org/abs/1002.4294 3. T.D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe and J.L. O'Brien, Quantum computers, \emph{Nature}, \textbf{464} (2010) 45-53. 4. R. Serrano, The theory of implementation of social choice rules, \emph{SIAM Review} \textbf{46} (2004) 377-414. 5. J. Eisert, M. Wilkens and M. Lewenstein, Quantum games and quantum strategies, \emph{Phys. Rev. Lett.} \textbf{83} (1999) 3077-3080. 6. A.P. Flitney and L.C.L. Hollenberg, Nash equilibria in quantum games with generalized two-parameter strategies, \emph{Phys. Lett. A} \textbf{363} (2007) 381-388. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/32722 |
Available Versions of this Item
-
On amending the sufficient conditions for Nash implementation. (deposited 08 Apr 2011 00:50)
- On amending the sufficient conditions for Nash implementation. (deposited 10 Aug 2011 03:15) [Currently Displayed]