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Above the critical interaction threshold, the uniform equilibrium becomes unstable and there is a multiplicity of stationary equilibria that are self-organizing. Under a discounted cost, dynamic equilibria spiral around the uniform distribution before converging to the self-organizing equilibria. With an ergodic cost, however, unexpected periodic equilibria around the uniform distribution emerge.<\/jats:p>\n                  <jats:p>Funding: This work was supported by the National Science Foundation [Grant DMS 2406762].<\/jats:p>","DOI":"10.1287\/moor.2024.0416","type":"journal-article","created":{"date-parts":[[2025,5,28]],"date-time":"2025-05-28T11:32:20Z","timestamp":1748431940000},"page":"1443-1462","source":"Crossref","is-referenced-by-count":5,"title":["Synchronization Games"],"prefix":"10.1287","volume":"51","author":[{"ORCID":"https:\/\/orcid.org\/0009-0007-5845-5840","authenticated-orcid":false,"given":"Felix","family":"H\u00f6fer","sequence":"first","affiliation":[{"name":"Department of Operations Research and Financial Engineering, Princeton University, Princeton, New Jersey 08544"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0824-1808","authenticated-orcid":false,"given":"H. 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