Wu, Haoyang (2011): On amending the Maskin's theorem by using complex numbers.
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Abstract
The Maskin's theorem is a fundamental work in the theory of mechanism design. In this paper, we will propose a selfenforcing agreement by which agents may break through the Maskin's sufficiency theorem if the designer uses the Maskin's mechanism, i.e,. a social choice rule which satisfies monotonicity and noveto may be not Nash implementable. The agreement is based on an algorithm with complex numbers. It is justified when the designer communicates with the agents through some channels (e.g., Internet). Since the designer cannot prevent the agents from signing such selfenforcing agreement, the Maskin's sufficiency theorem is amended.
Item Type:  MPRA Paper 

Original Title:  On amending the Maskin's theorem by using complex numbers 
Language:  English 
Keywords:  Algorithmic mechanism; Mechanism design; Nash implementation 
Subjects:  D  Microeconomics > D7  Analysis of Collective DecisionMaking > D71  Social Choice ; Clubs ; Committees ; Associations 
Item ID:  38157 
Depositing User:  Haoyang Wu 
Date Deposited:  17. Apr 2012 18:16 
Last Modified:  28. Feb 2013 06:09 
References:  1. E. Maskin, Nash equilibrium and welfare optimality, \emph{Rev. Econom. Stud.} \textbf{66} (1999) 2338. 2. R. Serrano, The theory of implementation of social choice rules, \emph{SIAM Review} \textbf{46} (2004) 377414. 3. L.G. Telser, A theory of selfenforcing agreements. \emph{Journal of Business} \textbf{53} (1980) 2744. 4. A.P. Flitney and L.C.L. Hollenberg, Nash equilibria in quantum games with generalized twoparameter strategies, \emph{Phys. Lett. A} \textbf{363} (2007) 381388. 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/38157 
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)

On amending the sufficient conditions for Nash implementation. (deposited 01. Sep 2011 12:53)

On amending the Maskin's theorem by using complex numbers. (deposited 23. Oct 2011 19:28)

On amending the Maskin's theorem by using complex numbers. (deposited 10. Nov 2011 14:20)
 On amending the Maskin's theorem by using complex numbers. (deposited 17. Apr 2012 18:16) [Currently Displayed]

On amending the Maskin's theorem by using complex numbers. (deposited 10. Nov 2011 14:20)

On amending the Maskin's theorem by using complex numbers. (deposited 23. Oct 2011 19:28)

On amending the sufficient conditions for Nash implementation. (deposited 01. Sep 2011 12:53)

On amending the sufficient conditions for Nash implementation. (deposited 10. Aug 2011 03:15)