{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T13:16:53Z","timestamp":1760015813430},"reference-count":18,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. Game Theory Rev."],"published-print":{"date-parts":[[2016,6]]},"abstract":"<jats:p> In this work, we propose a model for the extraction of a nonrenewable resource in an economy where, initially, only one agent is enabled to perform extraction tasks. However, at certain nonpredictable (random) times, more companies receive the government\u2019s approval for extracting the country\u2019s resources. We provide a setup suitable for the use of standard dynamic programming results for both, the competitive and cooperative schemes; we develop the corresponding HJB equations, prove a verification theorem, and give an example. Our framework is inspired by the trends that oil industries are experiencing in countries like Mexico and Russia. <\/jats:p>","DOI":"10.1142\/s0219198916400041","type":"journal-article","created":{"date-parts":[[2016,5,13]],"date-time":"2016-05-13T07:27:31Z","timestamp":1463124451000},"page":"1640004","source":"Crossref","is-referenced-by-count":8,"title":["A Differential Game Model for The Extraction of Nonrenewable Resources with Random Initial Times \u2014 The Cooperative and Competitive Cases"],"prefix":"10.1142","volume":"18","author":[{"given":"Ekaterina Viktorovna","family":"Gromova","sequence":"first","affiliation":[{"name":"Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, Universitetskii Prospekt 35, Petergof, Saint Petersburg, 198504, Russia"}]},{"given":"Jos\u00e9 Daniel","family":"L\u00f3pez-Barrientos","sequence":"additional","affiliation":[{"name":"Facultad de Ciencias Actuariales, Universidad An\u00e1huac M\u00e9xico Norte Av. 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