00945nam a2200145 a 450000500170000000800400001710000190005724500670007626400160014333600090015933800200016852004990018850600460068785600660073320260901030338.0250101s2019 xx o 000 0 eng d1 aCyril Grunspan10aSelfish Mining and Dyck Words in Bitcoin and Ethereum Networks 1barXivc2019 atext aonline resource aThe main goal of this article is to present a direct approach for the formula giving the long-term apparent hashrates of Selfish Mining strategies using only elementary probabilities and combinatorics, more precisely, Dyck words. We can avoid computing stationary probabilities on Markov chain, nor stopping times for Poisson processes as in previous analysis. We do apply these techniques to other block withholding strategies in Bitcoin, and then, we consider also selfish mining in Ethereum.0 aOpen access — freely available to read.40uhttps://arxiv.org/pdf/1904.07675v1yRead the full paper (PDF)