Skip to main content

Price Stabilization in Networks — What Is an Appropriate Model ?

  • Conference paper
Book cover Stabilization, Safety, and Security of Distributed Systems (SSS 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6976))

Included in the following conference series:

Abstract

We consider a simple network model for economic agents where each can buy commodities in the neighborhood. Their prices may be initially distinct in any node. However, by assuming some rules on new prices, we show that the distinct prices will converge to unique by iterating buy and sell operations. First, we present a protocol model in which each agent always bids an arbitrary price in the difference between his own price and the lowest price in the neighborhood, called max price difference. Next, we derive the condition that price stabilization occurs in our model. Furthermore, we consider game (auction) theoretic price determination by assuming that each agent’s value is uniformly distributed over the max price difference. Finally, we perform a simulation experiment. Our model is suitable for investigating the effects of network topologies on price stabilization.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Beauquier, J., Herault, T., Schiller, E.: Easy Stabilization with an Agent. In: Datta, A.K., Herman, T. (eds.) WSS 2001. LNCS, vol. 2194, pp. 35–50. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  2. Blume, L.E., Easley, D., Kleinberg, J., Tardos, E.: Trading Networks with Price-Setting Agents. Games and Economic Behavior 67, 36–50 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  3. Challet, D., Marsili, M., Zhang, Y.-C.: Minority Games — Interacting Agents in Financial Markets. Oxford University Press, New York (2005)

    MATH  Google Scholar 

  4. Dolev, S., Kat, R.I., Schiller, E.M.: When Consensus Meets Self-stabilization. Journal of Computer and System Sciences 76(8), 884–900 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  5. Dolev, S., Schiller, E.M., Spirakis, P.G., Tsigas, P.: Strategies for Repeated Games with Subsystem Takeovers Implementable by Deterministic and Self-stabilizing Automata. In: Proceedings of the 2nd International Conference on Autonomic Computing and Communication Systems (Autonomics 2008), pp. 23–25. ICST, Brussels (2008)

    Google Scholar 

  6. Dolev, S., Schiller, E.M., Welch, J.L.: Random Walk for Self-stabilizing Group Communication in Ad Hoc Networks. IEEE Transactions on Mobile Computing 5(7), 893–905 (2006)

    Article  Google Scholar 

  7. Dasgupta, A., Ghosh, S., Tixeuil, S.: Selfish Stabilization. In: Datta, A.K., Gradinariu, M. (eds.) SSS 2006. LNCS, vol. 4280, pp. 231–243. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  8. Dolev, S.: Self-stabilization. The MIT Press, Cambridge (2000)

    MATH  Google Scholar 

  9. Dolev, S., Israeli, A., Moran, S.: Analyzing Expected Time by Scheduler-Luck Games. IEEE Transactions on Software Engineering 21(5), 429–439 (1995)

    Article  Google Scholar 

  10. Even-Dar, E., Kearns, M., Suri, S.: A Network Formation Game for Bipartite Exchange Economies. In: Proceedings of the 18th ACM-SIAM Simposium on Discrete Algorithms (SODA 2007), pp. 697–706. ACM, SIAM, New York, Philadelphia (2007)

    Google Scholar 

  11. Ghosh, S.: Agents, Distributed Algorithms, and Stabilization. In: Du, D.-Z., Eades, P., Castro, V.E., Lin, X., Sharma, A. (eds.) COCOON 2000. LNCS, vol. 1858, pp. 242–251. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  12. Gouda, M.G., Acharya, H.B.: Nash Equilibria in Stabilizing Systems. In: Guerraoui, R., Petit, F. (eds.) SSS 2009. LNCS, vol. 5873, pp. 311–324. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  13. Herman, T., Masuzawa, T.: Self-stabilizing Agent Traversal. In: Datta, A.K., Herman, T. (eds.) WSS 2001. LNCS, vol. 2194, pp. 152–166. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  14. Kakade, S.M., Kearns, M., Ortiz, L.E., Pemantle, R., Suri, S.: Economic Properties of Social Networks. In: Proceedings of the Neural Information Processing Systems (NIPS 2004), pp. 633–640. The MIT Press, Cambridge (2004)

    Google Scholar 

  15. Kiniwa, J., Kikuta, K.: Analysis of an Intentional Fault Which Is Undetectable by Local Checks under an Unfair Scheduler. In: Guerraoui, R., Petit, F. (eds.) SSS 2009. LNCS, vol. 5873, pp. 443–457. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  16. Kiniwa, J., Kikuta, K.: A Network Model for Price Stabilization. In: Proceedings of the 3rd International Conference on Agents and Artificial Intelligence (ICAART 2011), pp. 394–397. SciTePress, Portugal (2011)

    Google Scholar 

  17. Krishna, V.: Auction Theory. Academic Press, Orlando (2002)

    Google Scholar 

  18. Lynch, N.A.: Distributed Algorithms. Morgan Kaufmann Publishers, San Francisco (1996)

    MATH  Google Scholar 

  19. Myerson, R.B.: Game Theory: Analysis of Conflict. Harvard University Press, Cambridge (1991)

    MATH  Google Scholar 

  20. Raberto, M., Cincotti, S., Dose, C., Focardi, S.M., Marchesi, M.: Price Formation in an Artificial Market: Limit Order Book Versus Matching of Supply and Demand. In: Thomas, L., Stefan, R., Eleni, S. (eds.) Nonlinear Dynamics and Heterogeneous Interacting Agents. LNEMS, vol. 550, pp. 305–315. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  21. Stiglitz, J.E.: Principles of Micro-economics. W.W.Norton & Company, New York (1993)

    Google Scholar 

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

    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

Kiniwa, J., Kikuta, K. (2011). Price Stabilization in Networks — What Is an Appropriate Model ?. In: Défago, X., Petit, F., Villain, V. (eds) Stabilization, Safety, and Security of Distributed Systems. SSS 2011. Lecture Notes in Computer Science, vol 6976. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24550-3_22

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-24550-3_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24549-7

  • Online ISBN: 978-3-642-24550-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics