IDEAS home Printed from https://ideas.repec.org/a/oup/rfinst/v32y2019i5p1662-1715..html
   My bibliography  Save this article

The Blockchain Folk Theorem

Author

Listed:
  • Bruno Biais
  • Christophe Bisière
  • Matthieu Bouvard
  • Catherine Casamatta

Abstract

Blockchains are distributed ledgers, operated within peer-to-peer networks. We model the proof-of-work blockchain protocol as a stochastic game and analyze the equilibrium strategies of rational, strategic miners. Mining the longest chain is a Markov perfect equilibrium, without forking, in line with Nakamoto (2008). The blockchain protocol, however, is a coordination game, with multiple equilibria. There exist equilibria with forks, leading to orphaned blocks and persistent divergence between chains. We also show how forks can be generated by information delays and software upgrades. Last we identify negative externalities implying that equilibrium investment in computing capacity is excessive.Received May 31, 2017; editorial decision July 6, 2018 by Editor Itay Goldstein.

Suggested Citation

  • Bruno Biais & Christophe Bisière & Matthieu Bouvard & Catherine Casamatta, 2019. "The Blockchain Folk Theorem," The Review of Financial Studies, Society for Financial Studies, vol. 32(5), pages 1662-1715.
    • Handle: RePEc:oup:rfinst:v:32:y:2019:i:5:p:1662-1715.
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1093/rfs/hhy095
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

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

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jonathan Chiu & Thorsten V Koeppl, 2019. "Blockchain-Based Settlement for Asset Trading," The Review of Financial Studies, Society for Financial Studies, vol. 32(5), pages 1716-1753.
    2. Mariana Khapko & Marius Andrei Zoican, 2017. ""Smart" Settlement," Post-Print hal-01491563, HAL.
    3. Josh Lerner & Jean Tirole, 2002. "Some Simple Economics of Open Source," Journal of Industrial Economics, Wiley Blackwell, vol. 50(2), pages 197-234, June.
    4. John Duggan, 2012. "Noisy Stochastic Games," Econometrica, Econometric Society, vol. 80(5), pages 2017-2045, September.
    5. Biais, Bruno & Foucault, Thierry & Moinas, Sophie, 2015. "Equilibrium fast trading," Journal of Financial Economics, Elsevier, vol. 116(2), pages 292-313.
    6. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    7. Harold L. Cole & Timothy J. Kehoe, 2000. "Self-Fulfilling Debt Crises," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(1), pages 91-116.
    8. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-1181, September.
    9. Lin William Cong & Zhiguo He, 2019. "Blockchain Disruption and Smart Contracts," The Review of Financial Studies, Society for Financial Studies, vol. 32(5), pages 1754-1797.
    10. David Yermack, 2017. "Corporate Governance and Blockchains," Review of Finance, European Finance Association, vol. 21(1), pages 7-31.
    11. Vincent Glode & Richard C. Green & Richard Lowery, 2012. "Financial Expertise as an Arms Race," Journal of Finance, American Finance Association, vol. 67(5), pages 1723-1759, October.
    12. Crawford, Vincent, 1998. "A Survey of Experiments on Communication via Cheap Talk," Journal of Economic Theory, Elsevier, vol. 78(2), pages 286-298, February.
    13. John Duggan, 2012. "Noisy Stochastic Games," RCER Working Papers 570, University of Rochester - Center for Economic Research (RCER).
    14. Christian Catalini & Joshua S. Gans, 2016. "Some Simple Economics of the Blockchain," NBER Working Papers 22952, National Bureau of Economic Research, Inc.
    15. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    16. Max Raskin & David Yermack, 2016. "Digital Currencies, Decentralized Ledgers, and the Future of Central Banking," NBER Working Papers 22238, National Bureau of Economic Research, Inc.
    Full references (including those not matched with items on IDEAS)

    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. Lin William Cong & Zhiguo He & Jiasun Li & Wei Jiang, 2021. "Decentralized Mining in Centralized Pools [Concentrating on the fall of the labor share]," The Review of Financial Studies, Society for Financial Studies, vol. 34(3), pages 1191-1235.
    2. Bonaparte, Yosef, 2022. "Time horizon and cryptocurrency ownership: Is crypto not speculative?," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 79(C).
    3. Korniotis, George & Bhambhwani, Siddharth & Delikouras, Stefanos, 2019. "Blockchain Characteristics and the Cross-Section of Cryptocurrency Returns," CEPR Discussion Papers 13724, C.E.P.R. Discussion Papers.
    4. Bonaparte, Yosef & Bernile, Gennaro, 2023. "A new “Wall Street Darling?” effects of regulation sentiment in cryptocurrency markets," Finance Research Letters, Elsevier, vol. 52(C).
    5. Romi Kher & Siri Terjesen & Chen Liu, 2021. "Blockchain, Bitcoin, and ICOs: a review and research agenda," Small Business Economics, Springer, vol. 56(4), pages 1699-1720, April.
    6. Anil Donmez & Alexander Karaivanov, 2022. "Transaction fee economics in the Ethereum blockchain," Economic Inquiry, Western Economic Association International, vol. 60(1), pages 265-292, January.
    7. Édouard Challe, 2004. "Équilibres multiples et volatilité boursière," Revue d'Économie Financière, Programme National Persée, vol. 74(1), pages 105-123.
    8. Rui Wang & Zhangxi Lin & Hang Luo, 2019. "Blockchain, bank credit and SME financing," Quality & Quantity: International Journal of Methodology, Springer, vol. 53(3), pages 1127-1140, May.
    9. Martin Cimiterra & Jackie Krafft & Lionel Nesta, 2021. "Blockchain as Schumpeter Mark 1 or Mark 2? An empirical analysis of blockchain job offers in France and Germany [Innovation: mapping the winds of creative destruction]," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 30(6), pages 1388-1402.
    10. Dulani Jayasuriya Daluwathumullagamage & Alexandra Sims, 2020. "Blockchain-Enabled Corporate Governance and Regulation," IJFS, MDPI, vol. 8(2), pages 1-41, June.
    11. Giuliano Sansone & Flavio Santalucia & Davide Viglialoro & Paolo Landoni, 2023. "Blockchain for social good and stakeholder engagement: Evidence from a case study," Corporate Social Responsibility and Environmental Management, John Wiley & Sons, vol. 30(5), pages 2182-2193, September.
    12. Schuster, Philipp & Theissen, Erik & Uhrig-Homburg, Marliese, 2020. "Finanzwirtschaftliche Anwendungen der Blockchain-Technologie," CFR Working Papers 20-02, University of Cologne, Centre for Financial Research (CFR).
    13. Jesús Fernández‐Villaverde, 2018. "Cryptocurrencies: A Crash Course in Digital Monetary Economics," Australian Economic Review, The University of Melbourne, Melbourne Institute of Applied Economic and Social Research, vol. 51(4), pages 514-526, December.
    14. Drew Fudenberg, 2015. "Tirole's Industrial Regulation and Organization Legacy in Economics," Scandinavian Journal of Economics, Wiley Blackwell, vol. 117(3), pages 771-800, July.
    15. Bhambhwani, Siddharth M. & Huang, Allen H., 2024. "Auditing decentralized finance," The British Accounting Review, Elsevier, vol. 56(2).
    16. Dimitrios Koutmos & Wang Chun Wei, 2023. "Nowcasting bitcoin’s crash risk with order imbalance," Review of Quantitative Finance and Accounting, Springer, vol. 61(1), pages 125-154, July.
    17. Dulani Jayasuriya Daluwathumullagamage & Alexandra Sims, 2021. "Fantastic Beasts: Blockchain Based Banking," JRFM, MDPI, vol. 14(4), pages 1-43, April.
    18. Committee, Nobel Prize, 2014. "Market power and regulation (scientific background)," Nobel Prize in Economics documents 2014-2, Nobel Prize Committee.
    19. Max Raskin & Fahad Saleh & David Yermack, 2020. "How do Private Digital Currencies Affect Government Policy?," World Scientific Book Chapters, in: Bernard Yeung (ed.), DIGITAL CURRENCY ECONOMICS AND POLICY, chapter 12, pages 111-115, World Scientific Publishing Co. Pte. Ltd..
    20. Bonaparte, Yosef, 2024. "Do entrepreneurs use cryptocurrency to hedge against their business risk?," Finance Research Letters, Elsevier, vol. 62(PB).

    More about this item

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • G2 - Financial Economics - - Financial Institutions and Services
    • L86 - Industrial Organization - - Industry Studies: Services - - - Information and Internet Services; Computer Software

    Statistics

    Access and download statistics

    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:oup:rfinst:v:32:y:2019:i:5:p:1662-1715.. 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: Oxford University Press (email available below). General contact details of provider: https://edirc.repec.org/data/sfsssea.html .

    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.