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Symmetric Equilibria in Double Auctions with Markdown Buyers and Markup Sellers

Author

Listed:
  • Roberto Cervone

    (Department of Applied Mathematics, University of Venice)

  • Stefano Galavotti

    (Department of Decision Sciences, University of Florence)

  • Marco LiCalzi

    (Department of Applied Mathematics and Advanced School of Economics, University of Venice)

Abstract

Zhan and Friedman (2007) study double auctions where buyers and sellers are constrained to using simple markdown and markup rules. In spite of the alleged symmetry in roles and assumptions, buyers are shown to have the upper hand both in the call market and in the continuous double auction. We replicate the study and show that their formulation of the sellers’ markup strategies, while seemingly natural, is strategically unsound because of a hidden asymmetry. We introduce a symmetric set of markup strategies for the sellers and show how it explains away the paradox of buyers’ advantage in three different double-sided market protocols.

Suggested Citation

  • Roberto Cervone & Stefano Galavotti & Marco LiCalzi, 2009. "Symmetric Equilibria in Double Auctions with Markdown Buyers and Markup Sellers," Working Papers 187, Department of Applied Mathematics, Università Ca' Foscari Venezia.
    • Handle: RePEc:vnm:wpaper:187
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    References listed on IDEAS

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    1. Smith, Vernon L, 1982. "Microeconomic Systems as an Experimental Science," American Economic Review, American Economic Association, vol. 72(5), pages 923-955, December.
    2. Martin W. Cripps & Jeroen M. Swinkels, 2006. "Efficiency of Large Double Auctions," Econometrica, Econometric Society, vol. 74(1), pages 47-92, January.
    3. Marco LiCalzi & Lucia Milone & Paolo Pellizzari, 2011. "Allocative Efficiency and Traders’ Protection Under Zero Intelligence Behavior," Dynamic Modeling and Econometrics in Economics and Finance, in: Herbert Dawid & Willi Semmler (ed.), Computational Methods in Economic Dynamics, pages 5-28, Springer.
    4. Zhan, Wenjie & Friedman, Daniel, 2007. "Markups in double auction markets," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 2984-3005, September.
    5. Kalyan Chatterjee & William Samuelson, 1983. "Bargaining under Incomplete Information," Operations Research, INFORMS, vol. 31(5), pages 835-851, October.
    6. Oliver Kirchkamp & J. Philipp Reiß, 2008. "Heterogeneous bids in auctions with rational and markdown bidders - Theory and Experiment," Jena Economics Research Papers 2008-066, Friedrich-Schiller-University Jena.
    7. 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.
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    Citations

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    Cited by:

    1. Wolski, Marcin & van de Leur, Michiel, 2016. "Interbank loans, collateral and modern monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 73(C), pages 388-416.
    2. Shira Fano & Marco LiCalzi & Paolo Pellizzari, 2013. "Convergence of outcomes and evolution of strategic behavior in double auctions," Journal of Evolutionary Economics, Springer, vol. 23(3), pages 513-538, July.
    3. Michiel Leur & Mikhail Anufriev, 2018. "Timing under individual evolutionary learning in a continuous double auction," Journal of Evolutionary Economics, Springer, vol. 28(3), pages 609-631, August.
    4. Olga A. Rud & Jean Paul Rabanal, 2018. "Evolution of markets: a simulation with centralized, decentralized and posted offer formats," Journal of Evolutionary Economics, Springer, vol. 28(3), pages 667-689, August.
    5. Michiel Leur, 2018. "Information and Efficiency in Thin Buyer–Seller Markets over Random Networks," Computational Economics, Springer;Society for Computational Economics, vol. 51(4), pages 1069-1095, April.
    6. Jean Paul Rabanal & Olga A. Rabanal, 2015. "A Simulation on the Evolution of Markets: Call Market, Decentralized and Posted Offer," Working Papers 34, Peruvian Economic Association.

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    More about this item

    Keywords

    market engineering; trading protocols; exchange market;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D40 - Microeconomics - - Market Structure, Pricing, and Design - - - General
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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