https://arxiv.org/abs/2206.02871 close this message arXiv smileybones icon Giving Week! Show your support for Open Science by donating to arXiv during Giving Week, April 25th-29th. DONATE Skip to main content Cornell University We gratefully acknowledge support from the Simons Foundation and member institutions. arxiv logo > cs > arXiv:2206.02871 [ ] Help | Advanced Search [All fields ] Search arXiv logo Cornell University Logo [ ] GO quick links * Login * Help Pages * About Computer Science > Computer Science and Game Theory arXiv:2206.02871 (cs) [Submitted on 6 Jun 2022] Title:Cooperation among an anonymous group protected Bitcoin during failures of decentralization Authors:Alyssa Blackburn, Christoph Huber, Yossi Eliaz, Muhammad S. Shamim, David Weisz, Goutham Seshadri, Kevin Kim, Shengqi Hang, Erez Lieberman Aiden Download PDF Abstract: Bitcoin is a digital currency designed to rely on a decentralized, trustless network of anonymous agents. Using a pseudonymous-address-linking procedure that achieves >99% sensitivity and >99% specificity, we reveal that between launch (January 3rd, 2009), and when the price reached $1 (February 9th, 2011), most bitcoin was mined by only sixty-four agents. This was due to the rapid emergence of Pareto distributions in bitcoin income, producing such extensive resource centralization that almost all contemporary bitcoin addresses can be connected to these top agents by a chain of six transactions. Centralization created a social dilemma. Attackers could routinely exploit bitcoin via a "51% attack", making it possible for them to repeatedly spend the same bitcoins. Yet doing so would harm the community. Strikingly, we find that potential attackers always chose to cooperate instead. We model this dilemma using an N-player Centipede game in which anonymous players can choose to exploit, and thereby undermine, an appreciating good. Combining theory and economic experiments, we show that, even when individual payoffs are unchanged, cooperation is more frequent when the game is played by an anonymous group. Although bitcoin was designed to rely on a decentralized, trustless network of anonymous agents, its early success rested instead on cooperation among a small group of altruistic founders. Comments: 12 pages main text 6 main text figures 76 total pages 23 supplemental figures Subjects: Computer Science and Game Theory (cs.GT); Computers and Society (cs.CY); Physics and Society (physics.soc-ph) Cite as: arXiv:2206.02871 [cs.GT] (or arXiv:2206.02871v1 [cs.GT] for this version) https://doi.org/10.48550/arXiv.2206.02871 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Alyssa Blackburn [view email] [v1] Mon, 6 Jun 2022 19:54:21 UTC (16,036 KB) Full-text links: Download: * PDF only [by-4] Current browse context: cs.GT < prev | next > new | recent | 2206 Change to browse by: cs cs.CY physics physics.soc-ph References & Citations * NASA ADS * Google Scholar * Semantic Scholar a export bibtex citation Loading... Bibtex formatted citation x [loading... ] Data provided by: Bookmark BibSonomy logo Mendeley logo Reddit logo ScienceWISE logo (*) Bibliographic Tools Bibliographic and Citation Tools [ ] Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) [ ] Litmaps Toggle Litmaps (What is Litmaps?) [ ] scite.ai Toggle scite Smart Citations (What are Smart Citations?) ( ) Code & Data Code and Data Associated with this Article [ ] arXiv Links to Code Toggle arXiv Links to Code & Data (What is Links to Code & Data?) ( ) Demos Demos [ ] Replicate Toggle Replicate (What is Replicate?) ( ) Related Papers Recommenders and Search Tools [ ] Connected Papers Toggle Connected Papers (What is Connected Papers?) [ ] Core recommender toggle CORE Recommender (What is CORE?) ( ) About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs and how to get involved. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?) * About * Help * Click here to contact arXiv Contact * Click here to subscribe Subscribe * Copyright * Privacy Policy * Web Accessibility Assistance * arXiv Operational Status Get status notifications via email or slack