{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,13]],"date-time":"2026-01-13T21:55:04Z","timestamp":1768341304792,"version":"3.49.0"},"publisher-location":"New York, NY, USA","reference-count":32,"publisher":"ACM","license":[{"start":{"date-parts":[[2017,1,14]],"date-time":"2017-01-14T00:00:00Z","timestamp":1484352000000},"content-version":"vor","delay-in-days":366,"URL":"http:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CCF1408635"],"award-info":[{"award-number":["CCF1408635"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100007040","name":"Singapore University of Technology and Design","doi-asserted-by":"publisher","award":["SRG ESD 2015 097"],"award-info":[{"award-number":["SRG ESD 2015 097"]}],"id":[{"id":"10.13039\/501100007040","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2016,1,14]]},"DOI":"10.1145\/2840728.2840757","type":"proceedings-article","created":{"date-parts":[[2016,1,5]],"date-time":"2016-01-05T09:26:11Z","timestamp":1451985971000},"page":"227-235","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":17,"title":["From Nash Equilibria to Chain Recurrent Sets"],"prefix":"10.1145","author":[{"given":"Christos","family":"Papadimitriou","sequence":"first","affiliation":[{"name":"University of California, Berkeley, Berkeley, CA, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Georgios","family":"Piliouras","sequence":"additional","affiliation":[{"name":"Singapore University of Technology and Design & University of California, Berkeley, Singapore, Singapore"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2016,1,14]]},"reference":[{"key":"e_1_3_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1090\/gsm\/085"},{"key":"e_1_3_2_1_2_1","volume-title":"The multiplicative weights update method: a meta algorithm and applications. Technical report","author":"Arora S.","year":"2005","unstructured":"S. Arora, E. Hazan, and S. Kale. The multiplicative weights update method: a meta algorithm and applications. Technical report, 2005."},{"key":"e_1_3_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1007\/s13235-012-0040-0"},{"key":"e_1_3_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02403068"},{"key":"e_1_3_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-62006-5"},{"key":"e_1_3_2_1_6_1","volume-title":"Activity Analysis of Production and Allocation","author":"Brown G.","year":"1951","unstructured":"G. Brown. Iterative solutions of games by fictitious play. In Activity Analysis of Production and Allocation, T.C. Koopmans (Ed.), New York: Wiley., 1951."},{"key":"e_1_3_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1145\/1516512.1516516"},{"key":"e_1_3_2_1_8_1","volume-title":"Isolated invariant sets and the morse index. cbms regional conference series in mathematics, 38","author":"Conley C.","year":"1978","unstructured":"C. Conley. Isolated invariant sets and the morse index. cbms regional conference series in mathematics, 38. American Mathematical Society, Providence, RI, 16, 1978."},{"key":"e_1_3_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.5555\/129837"},{"key":"e_1_3_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.5555\/1929237.1929248"},{"key":"e_1_3_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1145\/1132516.1132527"},{"key":"e_1_3_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139173179"},{"key":"e_1_3_2_1_13_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02219371"},{"key":"e_1_3_2_1_14_1","volume-title":"Replicator equations and the principle of minimal production of information. Bull. Math. Biol., 72(1124)","author":"Karev G. P.","year":"2010","unstructured":"G. P. Karev. Replicator equations and the principle of minimal production of information. Bull. Math. Biol., 72(1124), 2010."},{"key":"e_1_3_2_1_15_1","volume-title":"Symposium on Innovations in Computer Science (ICS)","author":"Kleinberg R.","year":"2011","unstructured":"R. Kleinberg, K. Ligett, G. Piliouras, and \u00c9. Tardos. Beyond the Nash equilibrium barrier. In Symposium on Innovations in Computer Science (ICS), 2011."},{"key":"e_1_3_2_1_16_1","doi-asserted-by":"publisher","DOI":"10.1145\/1536414.1536487"},{"key":"e_1_3_2_1_17_1","doi-asserted-by":"publisher","DOI":"10.1145\/1978721.1978727"},{"key":"e_1_3_2_1_18_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF00305762"},{"key":"e_1_3_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.1145\/2688073.2688118"},{"key":"e_1_3_2_1_20_1","volume-title":"Nov.","author":"Mehta R.","year":"2014","unstructured":"R. Mehta, I. Panageas, G. Piliouras, and S. Yazdanbod. The Complexity of Genetic Diversity: Sex with Two Chromosomes is Advantageous but Unpredictable. ArXiv e-prints, Nov. 2014."},{"key":"e_1_3_2_1_21_1","doi-asserted-by":"publisher","unstructured":"J. Meiss. Differential Dynamical Systems. SIAM 2007.","DOI":"10.5555\/1355313"},{"key":"e_1_3_2_1_22_1","unstructured":"I. Panageas and G. Piliouras. Approximating the geometry of dynamics in potential games: Point-wise convergence regions of attraction average case performance analysis and system invariants. http:\/\/arxiv.org\/abs\/1403.3885 2014."},{"key":"e_1_3_2_1_23_1","doi-asserted-by":"publisher","DOI":"10.5555\/2615731.2615763"},{"key":"e_1_3_2_1_24_1","doi-asserted-by":"publisher","DOI":"10.5555\/2634074.2634138"},{"key":"e_1_3_2_1_25_1","doi-asserted-by":"publisher","DOI":"10.2307\/1969530"},{"key":"e_1_3_2_1_26_1","volume-title":"Population Games and Evolutionary Dynamics","author":"Sandholm W. H.","year":"2010","unstructured":"W. H. Sandholm. Population Games and Evolutionary Dynamics. MIT Press, 2010."},{"key":"e_1_3_2_1_27_1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-5193(83)90445-9"},{"key":"e_1_3_2_1_28_1","doi-asserted-by":"publisher","DOI":"10.1214\/09-EJS485"},{"key":"e_1_3_2_1_29_1","volume-title":"R. J. Aumann, L. S. Shapley","author":"Shapley L.","year":"1964","unstructured":"L. Shapley. Some topics in two-person games. Advances in game theory, edited by M. Dresher, R. J. Aumann, L. S. Shapley, A. W. Tucker, 1964."},{"key":"e_1_3_2_1_30_1","doi-asserted-by":"publisher","DOI":"10.1016\/0025-5564(78)90077-9"},{"key":"e_1_3_2_1_31_1","doi-asserted-by":"publisher","DOI":"10.1090\/gsm\/140"},{"key":"e_1_3_2_1_32_1","volume-title":"MIT Press","author":"Weibull J.","year":"1995","unstructured":"J. Weibull. Evolutionary Game Theory. MIT Press; Cambridge, MA: Cambridge University Press., 1995."}],"event":{"name":"ITCS'16: Innovations in Theoretical Computer Science","location":"Cambridge Massachusetts USA","acronym":"ITCS'16","sponsor":["SIGACT ACM Special Interest Group on Algorithms and Computation Theory"]},"container-title":["Proceedings of the 2016 ACM Conference on Innovations in Theoretical Computer Science"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2840728.2840757","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/2840728.2840757","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/2840728.2840757","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,18]],"date-time":"2025-11-18T09:48:12Z","timestamp":1763459292000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2840728.2840757"}},"subtitle":["Solution Concepts and Topology"],"short-title":[],"issued":{"date-parts":[[2016,1,14]]},"references-count":32,"alternative-id":["10.1145\/2840728.2840757","10.1145\/2840728"],"URL":"https:\/\/doi.org\/10.1145\/2840728.2840757","relation":{},"subject":[],"published":{"date-parts":[[2016,1,14]]},"assertion":[{"value":"2016-01-14","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}