{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T02:07:22Z","timestamp":1777342042923,"version":"3.51.4"},"publisher-location":"Berlin, Heidelberg","reference-count":18,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783662639573","type":"print"},{"value":"9783662639580","type":"electronic"}],"license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021]]},"DOI":"10.1007\/978-3-662-63958-0_6","type":"book-chapter","created":{"date-parts":[[2021,9,16]],"date-time":"2021-09-16T14:04:04Z","timestamp":1631801044000},"page":"65-79","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":32,"title":["Optimal Fees for Geometric Mean Market Makers"],"prefix":"10.1007","author":[{"given":"Alex","family":"Evans","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guillermo","family":"Angeris","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tarun","family":"Chitra","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,9,17]]},"reference":[{"key":"6_CR1","unstructured":"Adams, H.: Uniswap whitepaper. Technical report (2018)"},{"key":"6_CR2","doi-asserted-by":"publisher","unstructured":"Angeris, G., Chitra, T.: Improved price oracles: constant function market makers. In: Proceedings of the 2nd ACM Conference on Advances in Financial Technologies, AFT 2020, pp. 80\u201391. Association for Computing Machinery, New York (2020). https:\/\/doi.org\/10.1145\/3419614.3423251. https:\/\/doi-org.stanford.idm.oclc.org\/10.1145\/3419614.3423251","DOI":"10.1145\/3419614.3423251"},{"key":"6_CR3","unstructured":"Angeris, G., Evans, A., Chitra, T.: When does the tail wag the dog? Curvature and market making. arXiv preprint arXiv:2012.08040 (2020)"},{"key":"6_CR4","doi-asserted-by":"crossref","unstructured":"Angeris, G., Kao, H.T., Chiang, R., Noyes, C., Chitra, T.: An analysis of uniswap markets. Cryptoeconomic Syst. J. (2019, to appear)","DOI":"10.21428\/58320208.c9738e64"},{"key":"6_CR5","doi-asserted-by":"crossref","unstructured":"Aoyagi, J.: Lazy liquidity in automated market making. Available at SSRN 3674178 (2020)","DOI":"10.2139\/ssrn.3674178"},{"key":"6_CR6","unstructured":"Cermak, L.: Uniswap\u2019s monthly trade volume exceeded coinbase\u2019s in september, October 2020. https:\/\/www.theblockcrypto.com\/linked\/79775\/uniswap-coinbase-monthly-volume-september"},{"key":"6_CR7","doi-asserted-by":"crossref","unstructured":"Davis, M.H.A., Norman, A.R.: Portfolio selection with transaction costs. Math. Oper. Res. 15(4), 676\u2013713 (1990). https:\/\/EconPapers.repec.org\/RePEc:inm:ormoor:v:15:y:1990:i:4:p:676--713","DOI":"10.1287\/moor.15.4.676"},{"key":"6_CR8","unstructured":"Dixit, A.: The Art of Smooth Pasting. Fundamentals of pure and applied economics. Harwood Academic Publishers (1993). https:\/\/books.google.com\/books?id=nmoUDNfYK2sC"},{"issue":"4","key":"6_CR9","doi-asserted-by":"publisher","first-page":"657","DOI":"10.1016\/0165-1889(91)90037-2","volume":"15","author":"A Dixit","year":"1991","unstructured":"Dixit, A.: A simplified treatment of the theory of optimal regulation of Brownian motion. J. Econ. Dyn. Control 15(4), 657\u2013673 (1991)","journal-title":"J. Econ. Dyn. Control"},{"key":"6_CR10","doi-asserted-by":"crossref","unstructured":"Dumas, B.: Super contact and related optimality conditions. J. Econ. Dyn. Control 15(4), 675\u2013685 (1991). https:\/\/EconPapers.repec.org\/RePEc:eee:dyncon:v:15:y:1991:i:4:p:675--685","DOI":"10.1016\/0165-1889(91)90038-3"},{"key":"6_CR11","doi-asserted-by":"crossref","unstructured":"Dumas, B., Luciano, E.: An exact solution to a dynamic portfolio choice problem under transactions costs. J. Financ. 46(2), 577\u201395 (1991). https:\/\/EconPapers.repec.org\/RePEc:bla:jfinan:v:46:y:1991:i:2:p:577--95","DOI":"10.1111\/j.1540-6261.1991.tb02675.x"},{"key":"6_CR12","unstructured":"Dune: Dune analytics decentralized exchange dashboard (2020). https:\/\/explore.duneanalytics.com\/public\/dashboards\/c87JEtVi2GlyIZHQOR02NsfyJV48eaKEQSiKplJ7"},{"key":"6_CR13","doi-asserted-by":"crossref","unstructured":"Evans, A.: Liquidity provider returns in geometric mean markets. arXiv preprint arXiv:2006.08806 (2020)","DOI":"10.21428\/58320208.56ddae1b"},{"key":"6_CR14","unstructured":"Kao, H.T., Chitra, T.: Feedback control as a new primitive for DeFi (2020). https:\/\/medium.com\/gauntlet-networks\/feedback-control-as-a-new-primitive-for-defi-27b493f25b1"},{"key":"6_CR15","doi-asserted-by":"crossref","unstructured":"Leland, H.E.: Optimal portfolio management with transactions costs and capital gains taxes. Working Paper RPF-290, IBER, UC Berkeley, December 1999. SSRN: https:\/\/ssrn.com\/abstract=206871","DOI":"10.2139\/ssrn.206871"},{"key":"6_CR16","unstructured":"Martinelli, F., Mushegian, N.: Balancer: A non-custodial portfolio manager, liquidity provider, and price sensor (2019)"},{"key":"6_CR17","doi-asserted-by":"crossref","unstructured":"Merton, R.: Lifetime portfolio selection under uncertainty: the continuous-time case. Rev. Econ. Stat. 51(3), 247\u201357 (1969). https:\/\/EconPapers.repec.org\/RePEc:tpr:restat:v:51:y:1969:i:3:p:247--57","DOI":"10.2307\/1926560"},{"key":"6_CR18","unstructured":"Tassy, M., White, D.: Growth rate of a liquidity provider\u2019s wealth in $$xy = c$$ automated market makers, November 2020. https:\/\/math.dartmouth.edu\/~mtassy\/articles\/AMM_returns.pdf"}],"container-title":["Lecture Notes in Computer Science","Financial Cryptography and Data Security. FC 2021 International Workshops"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-662-63958-0_6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,9]],"date-time":"2023-01-09T11:37:50Z","timestamp":1673264270000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-662-63958-0_6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9783662639573","9783662639580"],"references-count":18,"URL":"https:\/\/doi.org\/10.1007\/978-3-662-63958-0_6","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021]]},"assertion":[{"value":"17 September 2021","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"FC","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Financial Cryptography and Data Security","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2021","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"1 March 2021","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"5 March 2021","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"25","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"fc2021","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/fc21.ifca.ai\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}