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Convergence of outcomes and evolution of strategic behavior in double auctions

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  • Shira Fano

    ()

  • Marco LiCalzi

    ()

  • Paolo Pellizzari

    ()

Abstract

We study the emergence of strategic behavior in double auctions with an equal number of buyers and sellers, under the distinct assumptions that orders are cleared simultaneously or asynchronously. The evolution of strategic behavior is modeled as a learning process driven by a genetic algorithm. We find that, as the size of the market grows, allocative inefficiency tends to zero and performance converges to the competitive outcome, regardless of the order-clearing rule. The main result concerns the evolution of strategic behavior as the size of the market gets larger. Under simultaneous order-clearing, only marginal traders learn to be price takers and make offers equal to their valuations/costs. Under asynchronous order-clearing, all intramarginal traders learn to be price makers and make offers equal to the competitive equilibrium price. The nature of the order-clearing rule affects in a fundamental way what kind of strategic behavior we should expect to emerge. Copyright Springer-Verlag 2013

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File URL: http://hdl.handle.net/10.1007/s00191-011-0226-4
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Bibliographic Info

Article provided by Springer in its journal Journal of Evolutionary Economics.

Volume (Year): 23 (2013)
Issue (Month): 3 (July)
Pages: 513-538

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Handle: RePEc:spr:joevec:v:23:y:2013:i:3:p:513-538

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Web page: http://link.springer.de/link/service/journals/00191/index.htm

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Web: http://link.springer.de/orders.htm

Related research

Keywords: Trading protocols; Asymptotic equivalence; Learning; Genetic algorithms; D44; D82; C63; C72;

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References

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  1. Leininger, W. & Linhart, P. B. & Radner, R., 1989. "Equilibria of the sealed-bid mechanism for bargaining with incomplete information," Journal of Economic Theory, Elsevier, vol. 48(1), pages 63-106, June.
  2. Mark A. Satterthwaite & Steven R. Williams, 2002. "The Optimality of a Simple Market Mechanism," Econometrica, Econometric Society, vol. 70(5), pages 1841-1863, September.
  3. Lettau, Martin, 1997. "Explaining the facts with adaptive agents: The case of mutual fund flows," Journal of Economic Dynamics and Control, Elsevier, vol. 21(7), pages 1117-1147, June.
  4. Shira Fano & Marco Li Calzi & Paolo Pellizzari, 2010. "Convergence of outcomes and evolution of strategic behavior in double auctions," Working Papers 196, Department of Applied Mathematics, Università Ca' Foscari Venezia.
  5. Anufriev, M. & Arifovic, J. & Ledyard, D. & Panchenko, V., 2010. "Efficiency of Continuous Double Auctions under Individual Evolutionary Learning with Full or Limited Information," CeNDEF Working Papers 10-01, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  6. Mendelson, Haim, 1985. "Random competitive exchange: Price distributions and gains from trade," Journal of Economic Theory, Elsevier, vol. 37(2), pages 254-280, December.
  7. 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.
  8. Zhan, Wenjie & Friedman, Daniel, 2007. "Markups in double auction markets," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 2984-3005, September.
  9. Aldo Rustichini, 1992. "Convergence to Efficiency in a Simple Market with Incomplete Information," Discussion Papers 995, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  10. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
  11. Dawid, Herbert, 1999. "On the convergence of genetic learning in a double auction market," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1545-1567, September.
  12. Gode, Dhananjay K & Sunder, Shyam, 1993. "Allocative Efficiency of Markets with Zero-Intelligence Traders: Market as a Partial Substitute for Individual Rationality," Journal of Political Economy, University of Chicago Press, vol. 101(1), pages 119-37, February.
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Cited by:
  1. Paolo Pellizzari, 2011. "Optimal trading in a limit order book using linear strategies," Working Papers 2011_16, Department of Economics, University of Venice "Ca' Foscari", revised Sep 2011.
  2. Shira Fano & Marco Li Calzi & Paolo Pellizzari, 2010. "Convergence of outcomes and evolution of strategic behavior in double auctions," Working Papers 196, Department of Applied Mathematics, Università Ca' Foscari Venezia.
  3. Giulio Bottazzi & Pietro Dindo, 2013. "Evolution and market behavior in economics and finance: introduction to the special issue," Journal of Evolutionary Economics, Springer, vol. 23(3), pages 507-512, July.
  4. Mikhail Anufriev & Jasmina Arifovic & John Ledyard & Valentyn Panchenko, 2013. "Efficiency of continuous double auctions under individual evolutionary learning with full or limited information," Journal of Evolutionary Economics, Springer, vol. 23(3), pages 539-573, July.
  5. Shira Fano & Paolo Pellizzari, 2011. "Time-dependent trading strategies in a continuous double auction," Working Papers 2011_03, Department of Economics, University of Venice "Ca' Foscari".
  6. Florian Hauser & Marco LiCalzi, 2011. "Learning to trade in an unbalanced market," Working Papers 2, Department of Management, Università Ca' Foscari Venezia.
  7. Ruijgrok, Matthijs, 2012. "A single-item continuous double auction game," MPRA Paper 42086, University Library of Munich, Germany.

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