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Most existing relevant studies focus on well-mixed populations or regular lattices and have yet to systematically investigate strategy-environment coevolutionary dynamics on complex spatial structures. In this work, we construct spatially embedded networks with three typical degree distributions (delta, Poisson, and power-law distributions), based on which we establish a multi-agent coevolutionary model with local and global environmental feedbacks. Using Monte Carlo simulations, we investigate the impacts of degree heterogeneity, average degree, and random connectivity on system dynamics. Simulation results show that the degree distribution significantly alters the system\u2019s dynamical behaviors. Among the three network topologies, homogeneous-degree networks are most conducive to dynamical stability. Moreover, average degree exerts a universal effect across all networks: cooperation level follows a unimodal trend, increasing first and then decreasing as average degree increases, with the maximum achieved at an intermediate average degree. This study explores how spatially embedded networks shape coevolutionary game dynamics and offers insights into the evolution of cooperation in complex adaptive systems.<\/jats:p>","DOI":"10.1063\/5.0351862","type":"journal-article","created":{"date-parts":[[2026,9,15]],"date-time":"2026-09-15T12:52:24Z","timestamp":1789476744000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":1,"title":["Coevolutionary game dynamics with local and global environmental feedbacks on spatially embedded networks"],"prefix":"10.1063","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0009-0007-4229-5731","authenticated-orcid":false,"given":"Yi","family":"Zhong","sequence":"first","affiliation":[{"name":"School of Mathematics, Southwestern University of Finance and Economics 1 , Chengdu 611130,","place":["China"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5214-4231","authenticated-orcid":false,"given":"Chuan","family":"Ding","sequence":"additional","affiliation":[{"name":"School of Mathematics, Southwestern University of Finance and Economics 1 , Chengdu 611130,","place":["China"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9129-2197","authenticated-orcid":false,"given":"Xiaojie","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, University of Electronic Science and Technology of China 2 , Chengdu 611731,","place":["China"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2026,9,15]]},"reference":[{"key":"2026091508521962900_c1","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1126\/science.309.5731.93","article-title":"How did cooperative behavior evolve?","volume":"309","year":"2005","journal-title":"Science"},{"key":"2026091508521962900_c2","doi-asserted-by":"publisher","first-page":"e2017463118","DOI":"10.1073\/pnas.2017463118","article-title":"Evolutionarily stable strategies in stable and periodically fluctuating populations: The Rosenzweig\u2013MacArthur predator\u2013prey model","volume":"118","year":"2021","journal-title":"Proc. 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