IDEAS home Printed from https://ideas.repec.org/a/bpj/jossai/v9y2021i3p255-265n7.html
   My bibliography  Save this article

A Hashing Power Allocation Game with and without Risk-free Asset

Author

Listed:
  • Cheng Yukun

    (School of Business, Suzhou University of Science and Technology, Suzhou215009, China)

  • Du Donglei

    (Faculty of Management, University of New Brunswick, NB Canada, FrederictonE3B 9Y2, Canada)

  • Han Qiaoming

    (School of Economics & Management, Nanjing Tech University, Nanjing211800, China)

Abstract

Miners in various blockchain-backed cryptocurrency networks compete to maintain the validity of the underlying distributed ledgers to earn the bootstrapped cryptocurrencies. With limited hashing power, each miner needs to decide how to allocate their resource to different cryptocurrencies so as to achieve the best overall payoff. Together all the miners form a hashing power allocation game. We consider two settings of the game, depending on whether each miner can allocate their fund to a risk-free asset or not. We show that this game admits unique pure Nash equilibrium in closed-form for both settings.

Suggested Citation

  • Cheng Yukun & Du Donglei & Han Qiaoming, 2021. "A Hashing Power Allocation Game with and without Risk-free Asset," Journal of Systems Science and Information, De Gruyter, vol. 9(3), pages 255-265, June.
    • Handle: RePEc:bpj:jossai:v:9:y:2021:i:3:p:255-265:n:7
    DOI: 10.21078/JSSI-2021-255-11
    as

    Download full text from publisher

    File URL: https://doi.org/10.21078/JSSI-2021-255-11
    Download Restriction: no
    File URL: https://libkey.io/10.21078/JSSI-2021-255-11?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
    ---><---

    References listed on IDEAS

    as
    1. Sergiu Hart, 2008. "Discrete Colonel Blotto and General Lotto games," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 441-460, March.
    2. Steve Alpern & J. V. Howard, 2017. "Winner-Take-All Games: The Strategic Optimisation of Rank," Operations Research, INFORMS, vol. 65(5), pages 1165-1176, October.
    3. Brian Roberson, 2006. "The Colonel Blotto game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 1-24, September.
    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. Emmanuel Dechenaux & Dan Kovenock & Roman Sheremeta, 2015. "A survey of experimental research on contests, all-pay auctions and tournaments," Experimental Economics, Springer;Economic Science Association, vol. 18(4), pages 609-669, December.
    2. Aner Sela, 2021. "Resource Allocations In Multi-Stage Contests," Working Papers 2105, Ben-Gurion University of the Negev, Department of Economics.
    3. Aner Sela, 2023. "Resource allocations in the best-of-k ( $$k=2,3$$ k = 2 , 3 ) contests," Journal of Economics, Springer, vol. 139(3), pages 235-260, August.
    4. Subhasish Chowdhury & Dan Kovenock & Roman Sheremeta, 2013. "An experimental investigation of Colonel Blotto games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(3), pages 833-861, April.
    5. Christian Ewerhart & Stanisław Kaźmierowski, 2024. "An equilibrium analysis of the Arad-Rubinstein game," ECON - Working Papers 443, Department of Economics - University of Zurich.
    6. Shakun D. Mago & Roman M. Sheremeta, 2017. "Multi‐battle Contests: An Experimental Study," Southern Economic Journal, John Wiley & Sons, vol. 84(2), pages 407-425, October.
    7. Casella, Alessandra & Laslier, Jean-François & Macé, Antonin, 2017. "Democracy for Polarized Committees: The Tale of Blotto's Lieutenants," Games and Economic Behavior, Elsevier, vol. 106(C), pages 239-259.
    8. Boyer, Pierre C. & Konrad, Kai A. & Roberson, Brian, 2017. "Targeted campaign competition, loyal voters, and supermajorities," Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 49-62.
    9. Aner Sela, 2016. "Two Stage Contests With Effort-Dependent Rewards," Working Papers 1612, Ben-Gurion University of the Negev, Department of Economics.
    10. Alan Washburn, 2013. "OR Forum---Blotto Politics," Operations Research, INFORMS, vol. 61(3), pages 532-543, June.
    11. Daniel G. Arce & Dan Kovenock J. & Brian Roberson, 2009. "Suicide Terrorism and the Weakest Link," CESifo Working Paper Series 2753, CESifo.
    12. Deck, Cary & Hao, Li & Porter, David, 2015. "Do prediction markets aid defenders in a weak-link contest?," Journal of Economic Behavior & Organization, Elsevier, vol. 117(C), pages 248-258.
    13. Irit Nowik & Tahl Nowik, 2017. "Games with Costly Winnings," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(04), pages 1-9, December.
    14. Dan Kovenock & Brian Roberson & Roman M. Sheremeta, 2019. "The attack and defense of weakest-link networks," Public Choice, Springer, vol. 179(3), pages 175-194, June.
    15. Paulo Barelli & Srihari Govindan & Robert Wilson, 2014. "Competition for a Majority," Econometrica, Econometric Society, vol. 82(1), pages 271-314, January.
    16. Ayala Arad & Ariel Rubinstein, 2010. "Colonel Blotto’s Top Secret Files," Levine's Working Paper Archive 814577000000000432, David K. Levine.
    17. Aner Sela, 2022. "Ineffective Prizes In Multi-Dimensional Contests," Working Papers 2205, Ben-Gurion University of the Negev, Department of Economics.
    18. Avrahami, Judith & Kareev, Yaakov & Todd, Peter M. & Silverman, Boaz, 2014. "Allocation of resources in asymmetric competitions: How do the weak maintain a chance of winning?," Journal of Economic Psychology, Elsevier, vol. 42(C), pages 161-174.
    19. Dan Kovenock & Brian Roberson, 2018. "The Optimal Defense Of Networks Of Targets," Economic Inquiry, Western Economic Association International, vol. 56(4), pages 2195-2211, October.
    20. Dubovik, Andrei & Parakhonyak, Alexei, 2014. "Drugs, guns, and targeted competition," Games and Economic Behavior, Elsevier, vol. 87(C), pages 497-507.

    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:bpj:jossai:v:9:y:2021:i:3:p:255-265:n:7. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    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.