A Hashing Power Allocation Game in Cryptocurrencies

Various crypto-currencies backed by Blockchain technology are now springing up like mushrooms. Miners in these peer-to-peer networks compete to maintain the validity of the underlying ledgers to earn the bootstrapped crypto-currencies. With limited hashing power, each miner needs to decide how to allocate their resource to different crypto-currencies so as to achieve the best overall payoff. Together all the miners form a hashing power allocation game. We consider the setting of the game in which the miners are risk-neutral. We show that a unique pure Nash Equilibrium exists and can be computed efficiently in this settings.

[1]  Einar C. Kjenstad,et al.  Innovation, Competition, and Market Structure – Evidence From Bitcoin’s Mining Market , 2018 .

[2]  J. Goodman Note on Existence and Uniqueness of Equilibrium Points for Concave N-Person Games , 1965 .

[3]  Aggelos Kiayias,et al.  Blockchain Mining Games , 2016, EC.

[4]  Ittay Eyal,et al.  The Miner's Dilemma , 2014, 2015 IEEE Symposium on Security and Privacy.

[5]  B. Roberson The Colonel Blotto game , 2006 .

[6]  Carmine Ventre,et al.  Ranking games that have competitiveness-based strategies , 2010, EC '10.

[7]  J. V. Howard,et al.  Winner-Take-All Games: The Strategic Optimisation of Rank , 2017, Oper. Res..

[8]  Fahad Saleh,et al.  Blockchain Without Waste: Proof-of-Stake , 2020, The Review of Financial Studies.

[9]  Jeremy Clark,et al.  SoK: Research Perspectives and Challenges for Bitcoin and Cryptocurrencies , 2015, 2015 IEEE Symposium on Security and Privacy.

[10]  Mohammad Taghi Hajiaghayi,et al.  From Duels to Battlefields: Computing Equilibria of Blotto and Other Games , 2016, AAAI.

[11]  Emin Gün Sirer,et al.  Majority Is Not Enough: Bitcoin Mining Is Vulnerable , 2013, Financial Cryptography.

[12]  Christophe Bisière,et al.  The Blockchain Folk Theorem , 2018, The Review of Financial Studies.

[13]  L. Shapley,et al.  Trade Using One Commodity as a Means of Payment , 1977, Journal of Political Economy.

[14]  Michal Feldman,et al.  The Proportional-Share Allocation Market for Computational Resources , 2009, IEEE Transactions on Parallel and Distributed Systems.

[15]  Meni Rosenfeld,et al.  Analysis of Bitcoin Pooled Mining Reward Systems , 2011, ArXiv.

[16]  Holger Paul Keeler,et al.  Bitcoin blockchain dynamics: The selfish-mine strategy in the presence of propagation delay , 2015, Perform. Evaluation.

[17]  Sergiu Hart,et al.  Discrete Colonel Blotto and General Lotto games , 2008, Int. J. Game Theory.

[18]  S. Matthew Weinberg,et al.  On the Instability of Bitcoin Without the Block Reward , 2016, CCS.

[19]  Ilya Segal,et al.  Solutions manual for Microeconomic theory : Mas-Colell, Whinston and Green , 1997 .

[20]  Abhi Shelat,et al.  Socially Optimal Mining Pools , 2017, WINE.