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The Blockchain Folk Theorem

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 wit...

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Bibliographic Details
Published in:The Review of financial studies 2019-05, Vol.32 (5), p.1662-1715
Main Authors: Biais, Bruno, Bisière, Christophe, Bouvard, Matthieu, Casamatta, Catherine
Format: Article
Language:English
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Summary: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.
ISSN:0893-9454
1465-7368
DOI:10.1093/rfs/hhy095