IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v427y2015icp226-233.html
   My bibliography  Save this article

Price percolation model

Author

Listed:
  • Kanai, Yasuhiro
  • Abe, Keiji
  • Seki, Yoichi

Abstract

We propose a price percolation model to reproduce the price distribution of components used in industrial finished goods. The intent is to show, using the price percolation model and a component category as an example, that percolation behaviors, which exist in the matter system, the ecosystem, and human society, also exist in abstract, random phenomena satisfying the power law. First, we discretize the total potential demand for a component category, considering it a random field. Second, we assume that the discretized potential demand corresponding to a function of a finished good turns into actual demand if the difficulty of function realization is less than the maximum difficulty of the realization. The simulations using this model suggest that changes in a component category’s price distribution are due to changes in the total potential demand corresponding to the lattice size and the maximum difficulty of realization, which is an occupation probability. The results are verified using electronic components’ sales data.

Suggested Citation

  • Kanai, Yasuhiro & Abe, Keiji & Seki, Yoichi, 2015. "Price percolation model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 226-233.
    • Handle: RePEc:eee:phsmap:v:427:y:2015:i:c:p:226-233
    DOI: 10.1016/j.physa.2015.02.021
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843711500120X
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2015.02.021?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Hodrick, Robert J & Prescott, Edward C, 1997. "Postwar U.S. Business Cycles: An Empirical Investigation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(1), pages 1-16, February.
    2. Solomon, Sorin & Weisbuch, Gerard & de Arcangelis, Lucilla & Jan, Naeem & Stauffer, Dietrich, 2000. "Social percolation models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 277(1), pages 239-247.
    3. Silverberg, Gerald & Verspagen, Bart, 2005. "A percolation model of innovation in complex technology spaces," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 225-244, January.
    4. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    5. Goldenberg, J & Libai, B & Solomon, S & Jan, N & Stauffer, D, 2000. "Marketing percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 284(1), pages 335-347.
    6. Martin Hohnisch & Sabine Pittnauer & Dietrich Stauffer, 2008. "A percolation-based model explaining delayed takeoff in new-product diffusion," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 17(5), pages 1001-1017, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhang, Yongping & Lin, Diao & Liu, Xiaoyue Cathy, 2019. "Biking islands in cities: An analysis combining bike trajectory and percolation theory," Journal of Transport Geography, Elsevier, vol. 80(C).
    2. Jiang, Yonglei & Liao, Feixiong & Jin, Lianjie, 2021. "Effects of locational accessibility on firm diffusion characteristics: The case of Sino-Europe Economic Corridor," Transport Policy, Elsevier, vol. 105(C), pages 80-93.
    3. Jiang, Yonglei & Timmermans, Harry J.P. & Yu, Bin, 2018. "Relocation of manufacturing industry from the perspective of transport accessibility – An application of percolation theory," Transport Policy, Elsevier, vol. 63(C), pages 10-29.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cantono, Simona, 2012. "Unveiling diffusion dynamics: an autocatalytic percolation model of environmental innovation diffusion and the optimal dynamic path of adoption subsidies," Department of Economics and Statistics Cognetti de Martiis LEI & BRICK - Laboratory of Economics of Innovation "Franco Momigliano", Bureau of Research in Innovation, Complexity and Knowledge, Collegio 201222, University of Turin.
    2. Solomon Sorin & Golo Natasa, 2013. "Minsky Financial Instability, Interscale Feedback, Percolation and Marshall–Walras Disequilibrium," Accounting, Economics, and Law: A Convivium, De Gruyter, vol. 3(3), pages 167-260, October.
    3. Fibich, Gadi & Levin, Tomer, 2020. "Percolation of new products," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    4. Paolo Zeppini & Koen Frenken, 2015. "Networks, Percolation, and Demand," Department of Economics Working Papers 38/15, University of Bath, Department of Economics.
    5. Jiang, Yonglei & Timmermans, Harry J.P. & Yu, Bin, 2018. "Relocation of manufacturing industry from the perspective of transport accessibility – An application of percolation theory," Transport Policy, Elsevier, vol. 63(C), pages 10-29.
    6. Karolina Safarzyńska & Jeroen Bergh, 2010. "Evolutionary models in economics: a survey of methods and building blocks," Journal of Evolutionary Economics, Springer, vol. 20(3), pages 329-373, June.
    7. Paolo Zeppini & Koen Frenken & Roland Kupers, 2013. "Threshold models of technological transitions," Working Papers 13-06, Eindhoven Center for Innovation Studies, revised Aug 2013.
    8. Jiang, Yonglei & Liao, Feixiong & Jin, Lianjie, 2021. "Effects of locational accessibility on firm diffusion characteristics: The case of Sino-Europe Economic Corridor," Transport Policy, Elsevier, vol. 105(C), pages 80-93.
    9. Cantono Simona, 2012. "A percolation model of multi-technology diffusion: information feedbacks, learning economies and subsidy policy," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201205, University of Turin.
    10. E. Samanidou & E. Zschischang & D. Stauffer & T. Lux, 2001. "Microscopic Models of Financial Markets," Papers cond-mat/0110354, arXiv.org.
    11. Thomas Grebel, 2013. "Network Evolution in Basic Science," Economic Complexity and Evolution, in: Guido Buenstorf & Uwe Cantner & Horst Hanusch & Michael Hutter & Hans-Walter Lorenz & Fritz Rahmeyer (ed.), The Two Sides of Innovation, edition 127, pages 39-53, Springer.
    12. Thomas Grebel, 2011. "Innovation and Health," Books, Edward Elgar Publishing, number 14375.
    13. Groot, Robert D., 2005. "Lévy distribution and long correlation times in supermarket sales," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 353(C), pages 501-514.
    14. Silverberg, G. & Verspagen, B., 2003. "Brewing the future: stylized facts about innovation and their confrontation with a percolation model," Working Papers 03.06, Eindhoven Center for Innovation Studies.
    15. G. Yaari & D. Stauffer & S. Solomon, 2008. "Intermittency and Localization," Papers 0802.3541, arXiv.org, revised Mar 2008.
    16. Bozhechkova, Aleksandra & Vashchelyuk, Natalia & Nazarov, Pavel & Perevyshin, Yuri & Tumanova, Elena & Shagas, Natalia, "undated". "Modeling the Dynamic of Economic Potential," Published Papers nvg143, Russian Presidential Academy of National Economy and Public Administration.
    17. E. Samanidou & E. Zschischang & D. Stauffer & T. Lux, 2007. "Agent-based Models of Financial Markets," Papers physics/0701140, arXiv.org.
    18. R. D. Groot, 2004. "Levy distribution and long correlation times in supermarket sales," Papers cond-mat/0412163, arXiv.org.
    19. Martin Hohnisch & Sabine Pittnauer & Dietrich Stauffer, 2003. "Percolation-Based Model of New-Product Diffusion with Macroscopic Feedback Effects," Papers cond-mat/0308358, arXiv.org.
    20. Paolo Zeppini & Koen Frenken & Luis R. Izquierdo, 2013. "Innovation diffusion in networks: the microeconomics of percolation," Working Papers 13-02, Eindhoven Center for Innovation Studies, revised Feb 2013.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:427:y:2015:i:c:p:226-233. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.