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 self-enforcing agreement by which agents can fight a bad social choice rule which satisfies monotonicity and no-veto if an additional condition is satisfied. The agreement is based on complex numbers and is justified if the designer receives messages from the agents through some communication channels (e.g., Internet). Under the assumption of complete information among agents, the designer cannot prevent the agents from signing such agreement. Thereby, the Maskin's sufficiency theorem is amended.
Item Type: | MPRA Paper |
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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 Decision-Making > D71 - Social Choice ; Clubs ; Committees ; Associations |
Item ID: | 34627 |
Depositing User: | Haoyang Wu |
Date Deposited: | 10 Nov 2011 14:20 |
Last Modified: | 05 Oct 2019 03:21 |
References: | 1. E. Maskin, Nash equilibrium and welfare optimality, \emph{Rev. Econom. Stud.} \textbf{66} (1999) 23-38. 2. R. Serrano, The theory of implementation of social choice rules, \emph{SIAM Review} \textbf{46} (2004) 377-414. 3. L.G. Telser, A theory of self-enforcing agreements. \emph{Journal of Business} \textbf{53} (1980) 27-44. 4. 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/34627 |
Available Versions of this Item
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On amending the sufficient conditions for Nash implementation. (deposited 08 Apr 2011 00:50)
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On amending the sufficient conditions for Nash implementation. (deposited 10 Aug 2011 03:15)
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On amending the sufficient conditions for Nash implementation. (deposited 01 Sep 2011 12:53)
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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) [Currently Displayed]
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On amending the Maskin's theorem by using complex numbers. (deposited 23 Oct 2011 19:28)
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On amending the sufficient conditions for Nash implementation. (deposited 01 Sep 2011 12:53)
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On amending the sufficient conditions for Nash implementation. (deposited 10 Aug 2011 03:15)