{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,17]],"date-time":"2026-02-17T05:44:40Z","timestamp":1771307080833,"version":"3.50.1"},"reference-count":21,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2022,4,22]],"date-time":"2022-04-22T00:00:00Z","timestamp":1650585600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>Motivated by the concept of cooperative equilibria with a single objective, we introduce the concepts of weakly cooperative equilibria and strong cooperative equilibria of multi-objective population games. We give some examples to explain the difference between the cooperative equilibrium point and noncooperative equilibrium point of multi-objective population games. Under appropriate assumptions, we study the existence and stability of weakly cooperative equilibria and strong cooperative equilibria of multi-objective population games.<\/jats:p>","DOI":"10.3390\/axioms11050196","type":"journal-article","created":{"date-parts":[[2022,4,23]],"date-time":"2022-04-23T08:14:06Z","timestamp":1650701646000},"page":"196","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Existence and Stability of Weakly Cooperative Equilibria and Strong Cooperative Equilibria of Multi-Objective Population Games"],"prefix":"10.3390","volume":"11","author":[{"given":"Tao","family":"Chen","sequence":"first","affiliation":[{"name":"College of Public Foundation, Yunnan Open University, Kunming 650223, China"}]},{"given":"Shih-Sen","family":"Chang","sequence":"additional","affiliation":[{"name":"Center for General Education, China Medical University, Taichung 40402, Taiwan"}]},{"given":"Yu","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming 650221, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,4,22]]},"reference":[{"key":"ref_1","unstructured":"Nash, J. 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