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Two-agent Nash implementation: A new result

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  • Wu, Haoyang

Abstract

[Moore and Repullo, \emph{Econometrica} \textbf{58} (1990) 1083-1099] and [Dutta and Sen, \emph{Rev. Econom. Stud.} \textbf{58} (1991) 121-128] are two fundamental papers on two-agent Nash implementation. Both of them are based on Maskin's classic paper [Maskin, \emph{Rev. Econom. Stud.} \textbf{66} (1999) 23-38]. A recent work [Wu, http://arxiv.org/abs/1002.4294, \emph{Inter. J. Quantum Information}, 2010 (accepted)] shows that when an additional condition is satisfied, the Maskin's theorem will no longer hold by using a quantum mechanism. Furthermore, this result holds in the macro world by using an algorithmic mechanism. In this paper, we will investigate two-agent Nash implementation by virtue of the algorithmic mechanism. The main result is: The sufficient and necessary conditions for Nash implementation with two agents shall be amended, not only in the quantum world, but also in the macro world.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 30068.

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Date of creation: 05 Apr 2011
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Handle: RePEc:pra:mprapa:30068

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Keywords: Quantum game theory; Mechanism design; Nash implementation.;

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  1. Eric Maskin, 1998. "Nash Equilibrium and Welfare Optimality," Harvard Institute of Economic Research Working Papers 1829, Harvard - Institute of Economic Research.
  2. Moore, John & Repullo, Rafael, 1990. "Nash Implementation: A Full Characterization," Econometrica, Econometric Society, vol. 58(5), pages 1083-99, September.
  3. Dutta, Bhaskar & Sen, Arunava, 1991. "A Necessary and Sufficient Condition for Two-Person Nash Implementation," Review of Economic Studies, Wiley Blackwell, vol. 58(1), pages 121-28, January.
  4. Francesca Busetto & Giulio Codognato, 2009. "Reconsidering two-agent Nash implementation," Social Choice and Welfare, Springer, vol. 32(2), pages 171-179, February.
  5. Wu, Haoyang, 2011. "On amending the sufficient conditions for Nash implementation," MPRA Paper 30067, University Library of Munich, Germany.
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Cited by:
  1. Wu, Haoyang, 2011. "Subgame perfect implementation: A new result," MPRA Paper 30286, University Library of Munich, Germany.

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