{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T04:22:46Z","timestamp":1772252566906,"version":"3.50.1"},"reference-count":27,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2023,1,3]],"date-time":"2023-01-03T00:00:00Z","timestamp":1672704000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>As a model for economic and ecological systems, replicator dynamics represent a basic form of agent competition for finite resources. Here, we investigate the effects of stochastic resetting in this kind of processes. Random reset events abruptly lead individual resources to a small value from which dynamics must start anew. Numerical results show that resource distribution over the population of competing agents develops highly nonuniform profiles, exhibiting clustering and fluctuations with anomalous dependence on the population size. This non-standard statistical behavior jeopardizes an analytical treatment based on mean-field assumptions. We propose alternative simplified analytical approaches which provide a stylized description of entropy evolution for the clustered distribution of resources and explain the unusually slow decrease of fluctuations.<\/jats:p>","DOI":"10.3390\/e25010099","type":"journal-article","created":{"date-parts":[[2023,1,4]],"date-time":"2023-01-04T05:02:30Z","timestamp":1672808550000},"page":"99","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Resource Concentration and Clustering in Replicator Dynamics with Stochastic Reset Events"],"prefix":"10.3390","volume":"25","author":[{"given":"Ignacio T.","family":"G\u00f3mez Garay","sequence":"first","affiliation":[{"name":"Centro At\u00f3mico Bariloche and Instituto Balseiro, Comisi\u00f3n Nacional de Energ\u00eda At\u00f3mica, Universidad Nacional de Cuyo, Av. E. Bustillo 9500, San Carlos de Bariloche 8400, Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0681-0592","authenticated-orcid":false,"given":"Dami\u00e1n H.","family":"Zanette","sequence":"additional","affiliation":[{"name":"Centro At\u00f3mico Bariloche and Instituto Balseiro, Comisi\u00f3n Nacional de Energ\u00eda At\u00f3mica, Universidad Nacional de Cuyo, Av. E. Bustillo 9500, San Carlos de Bariloche 8400, Argentina"},{"name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas, Bariloche 8400, Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,3]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1111\/j.1439-0310.1978.tb01823.x","article-title":"Replicator selection and the extended phenotype 3","volume":"47","author":"Dawkins","year":"1978","journal-title":"Z. 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