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On market prices in double auctions

Author

Listed:
  • Simon Jantschgi
  • Heinrich H. Nax
  • Bary S. R. Pradelski
  • Marek Pycia

Abstract

We address some open issues regarding the characterization of double auctions. Our model is a two-sided commodity market with either finitely or infinitely many traders. We first unify existing formulations for both finite and infinite markets and generalize the characterization of market clearing in the presence of ties. Second, we define a mechanism that achieves market clearing in any, finite or infinite, market instance and show that it coincides with the k-double auction by Rustichini et al. (1994) in the former case. In particular, it clarifies the consequences of ties in submissions and makes common regularity assumptions obsolete. Finally, we show that the resulting generalized mechanism implements Walrasian competitive equilibrium.

Suggested Citation

  • Simon Jantschgi & Heinrich H. Nax & Bary S. R. Pradelski & Marek Pycia, 2022. "On market prices in double auctions," ECON - Working Papers 404, Department of Economics - University of Zurich.
    • Handle: RePEc:zur:econwp:404
    as

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    File URL: https://www.zora.uzh.ch/id/eprint/217043/1/econwp404.pdf
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    References listed on IDEAS

    as
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    3. Matthew O. Jackson & Leo K. Simon & Jeroen M. Swinkels & William R. Zame, 2002. "Communication and Equilibrium in Discontinuous Games of Incomplete Information," Econometrica, Econometric Society, vol. 70(5), pages 1711-1740, September.
    4. Robert Day & Paul Milgrom, 2008. "Core-selecting package auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 393-407, March.
    5. Rustichini, Aldo & Satterthwaite, Mark A & Williams, Steven R, 1994. "Convergence to Efficiency in a Simple Market with Incomplete Information," Econometrica, Econometric Society, vol. 62(5), pages 1041-1063, September.
    6. Tymon Tatur, 2005. "On the Trade off Between Deficit and Inefficiency and the Double Auction with a Fixed Transaction Fee," Econometrica, Econometric Society, vol. 73(2), pages 517-570, March.
    7. Gerard Debreu, 1963. "On a Theorem of Scarf," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 177-180.
    8. Mark A. Satterthwaite & Steven R. Williams, 1989. "The Rate of Convergence to Efficiency in the Buyer's Bid Double Auction as the Market Becomes Large," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(4), pages 477-498.
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    More about this item

    Keywords

    Double auction; Walrasian equilibrium; finite and infinite markets; axiomatization;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

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