Quantum Bayesian implementation

Wu, Haoyang (2011): Quantum Bayesian implementation.

Abstract

Bayesian implementation concerns decision making problems when agents have incomplete information. This paper proposes that the traditional sufficient conditions for Bayesian implementation shall be amended by virtue of a quantum Bayesian mechanism. In addition, by using an algorithmic Bayesian mechanism, this amendment holds in the macro world.

• Item Type: MPRA Paper
• Language: English
• Keywords: Quantum game theory; Mechanism design; Bayesian implementation
• Subjects: D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice ; Clubs ; Committees ; Associations; D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D80 - General; C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games

References

1. E. Maskin, Nash equilibrium and welfare optimality, \emph{Rev. Econom. Stud.} \textbf{66} (1999) 23-38.

2. A. Postlewaite and D. Schmeidler, Implementation in differential information economies. \emph{Journal of Economic theory}, \textbf{39} (1986) 14-33.

3. T.R. Palfrey and S. Srivastava, Implementation with incomplete information in exchange economies, \emph{Econometrica}, \textbf{57} (1989) 115-134.

4. M.O. Jackson, Bayesian implementation. \emph{Econometrica}, \textbf{59} (1991) 461-477.

5. 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

6. H. Wu, On amending the sufficient conditions for Nash implementation. \emph{Theoretical Computer Science}, 2011 (submitted).\\ http://arxiv.org/abs/1004.5327

7. R. Serrano, The theory of implementation of social choice rules, \emph{SIAM Review} \textbf{46} (2004) 377-414.

8. Mas-Colell, A., MD Whinston, and JR Green, Microeconomic Theory. Oxford University Press, Oxford, 1995.

9. H. Matsushima, Bayesian monotonicity with side payments, \emph{Journal of Economic Theory} \textbf{59} (1993) 107-121.

10. 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.