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Quantum mechanism helps agents combat Pareto-inefficient social choice rules

Author

Listed:
  • Wu, Haoyang

Abstract

Quantum strategies have been successfully applied in game theory for years. However, as a reverse problem of game theory, the theory of mechanism design is ignored by physicists. In this paper, we generalize the classical theory of mechanism design to a quantum domain and obtain two results: 1) We find that the mechanism in the proof of Maskin's sufficiency theorem is built on the Prisoners' Dilemma. 2) By virtue of a quantum mechanism, agents who satisfy a certain condition can combat Pareto-inefficient social choice rules instead of being restricted by the traditional mechanism design theory.

Suggested Citation

  • Wu, Haoyang, 2010. "Quantum mechanism helps agents combat Pareto-inefficient social choice rules," MPRA Paper 21552, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:21552
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    File URL: https://mpra.ub.uni-muenchen.de/21552/1/MPRA_paper_21552.pdf
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    More about this item

    Keywords

    Quantum games; Mechanism design; Implementation theory; Nash implementation; Maskin monotonicity;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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