Skip to main content

How Profitable Are Strategic Behaviors in a Market?

  • Conference paper
Algorithms – ESA 2011 (ESA 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6942))

Included in the following conference series:

Abstract

It is common wisdom that individuals behave strategically in economic environments. We consider Fisher markets with Leontief utilities and study strategic behaviors of individual buyers in market equilibria. While simple examples illustrate that buyers do get larger utilities when behaving strategically, we show that the benefits can be quite limited: We introduce the concept of incentive ratio to capture the extent to which utility can be increased by strategic behaviors of an individual, and show that the incentive ratio of Leontief markets is less than 2. We also reveal that the incentive ratios are insensitive to market sizes. Potentially, the concept incentive ratio can have applications in other strategic settings as well.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Adsul, B., Babu, C. S., Garg, J., Mehta, R., Sohoni, M.: Nash Equilibria in Fisher Market. In: Kontogiannis, S., Koutsoupias, E., Spirakis, P.G. (eds.) AGT 2010. LNCS, vol. 6386, pp. 30–41. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  2. Anshelevich, E., Dasgupta, A., Kleinberg, J.M., Tardos, É., Wexler, T., Roughgarden, T.: The Price of Stability for Network Design with Fair Cost Allocation. SIAM Journal on Computing 38(4), 1602–1623 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  3. Archer, A., Papadimitriou, C., Talwar, K., Tardos, E.: An Approximate Truthful Mechanism for Combinatorial Auctions with Single Parameter Agents. In: SODA 2003, pp. 205–214 (2003)

    Google Scholar 

  4. Arrow, K.J., Chenery, H., Minhas, B., Solow, R.: Capital-Labor Substitution and Economic Efficiency. The Review of Economics and Statistics 43(3), 225–250 (1961)

    Article  Google Scholar 

  5. Arrow, K., Debreu, G.: Existence of an Equilibrium for a Competitive Economy. Econometrica 22, 265–290 (1954)

    Article  MathSciNet  MATH  Google Scholar 

  6. Bazaraa, M.S., Sherali, H.D., Shetty, C.M.: Nonlinear Programming: Theory and Algorithms. John Wiley & Sons, Chichester (2006)

    Book  MATH  Google Scholar 

  7. Brainard, W., Scarf, H.E.: How to Compute Equilibrium Prices in 1891. Cowles Foundation Discussion Paper (2000)

    Google Scholar 

  8. Chen, N., Deng, X., Sun, X., Yao, A.C.: Fisher Equilibrium Price with a Class of Concave Utility Functions. In: Albers, S., Radzik, T. (eds.) ESA 2004. LNCS, vol. 3221, pp. 169–179. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  9. Codenotti, B., Varadarajan, K.R.: Efficient Computation of Equilibrium Prices for Markets with Leontief Utilities. In: Díaz, J., Karhumäki, J., Lepistö, A., Sannella, D. (eds.) ICALP 2004. LNCS, vol. 3142, pp. 371–382. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  10. Codenotti, B., Saberi, A., Varadarajan, K., Ye, Y.: Leontief Economies Encode Nonzero Sum Two-Player Games. In: SODA 2006, pp. 659–667 (2006)

    Google Scholar 

  11. Deng, X., Papadimitriou, C., Safra, S.: On the Complexity of Equilibria. In: STOC 2002, pp. 67–71 (2002)

    Google Scholar 

  12. Devanur, N., Kannan, R.: Market Equilibria in Polynomial Time for Fixed Number of Goods or Agents. In: FOCS 2008, pp. 45–53 (2008)

    Google Scholar 

  13. Devanur, N., Papadimitriou, C., Saberi, A., Vazirani, V.: Market Equilibrium via a Primal-Dual Algorithm for a Convex Program. JACM 55(5) (2008)

    Google Scholar 

  14. Eaves, B.C.: Finite Solution of Pure Trade Markets with Cobb-Douglas Utilities. Mathematical Programming Study 23, 226–239 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  15. Eisenberg, E., Gale, D.: Consensus of Subjective Probabilities: The Pari-Mutuel Method. Annals Of Mathematical Statistics 30, 165–168 (1959)

    Article  MathSciNet  MATH  Google Scholar 

  16. Garg, D., Jain, K., Talwar, K., Vazirani, V.: A Primal-Dual Algorithm for Computing Fisher Equilibrium in the Absence of Gross Substitutability Property. Theoretical Computer Science 378, 143–152 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  17. Jain, K.: A polynomial Time Algorithm for Computing an Arrow-Debreu Market Equilibrium for Linear Utilities. SIAM Journal on Computing 37(1), 303–318 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  18. Kothari, A., Parkes, D., Suri, S.: Approximately-Strategyproof and Tractable Multiunit Auctions. Decision Support Systems 39(1), 105–121 (2005)

    Article  Google Scholar 

  19. Koutsoupias, E., Papadimitriou, C.H.: Worst-Case Equilibria. In: Meinel, C., Tison, S. (eds.) STACS 1999. LNCS, vol. 1563, pp. 404–413. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  20. Lehmann, D., O’Callaghan, L., Shoham, Y.: Truth Revelation in Approximately Efficient Combinatorial Auctions. JACM 49(5), 577–602 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  21. Roberts, D., Postlewaite, A.: The Incentives for Price-Taking Behavior in Large Exchange Economies. Econometrica 44, 113–127 (1976)

    Article  MathSciNet  MATH  Google Scholar 

  22. Schummer, J.: Almost Dominant Strategy Implementation, MEDS Department, Northwestern University, Discussion Papers 1278 (1999)

    Google Scholar 

  23. Solov, R.: A Contribution to the Theory of Economic Growth. Quarterly Journal of Economics 70, 65–94 (1956)

    Article  Google Scholar 

  24. Varian, H.: Microeconomic Analysis. W. W. Norton & Company, New York (1992)

    Google Scholar 

  25. Ye, Y.: A Path to the Arrow-Debreu Competitive Market Equilibrium. Mathematical Programming 111(1-2), 315–348 (2008)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Chen, N., Deng, X., Zhang, J. (2011). How Profitable Are Strategic Behaviors in a Market?. In: Demetrescu, C., Halldórsson, M.M. (eds) Algorithms – ESA 2011. ESA 2011. Lecture Notes in Computer Science, vol 6942. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23719-5_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-23719-5_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23718-8

  • Online ISBN: 978-3-642-23719-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics