On competition for spatially distributed resources in networks

• 成果类型: Article
• 署名作者: Fabbri, Giorgio; Faggian, Silvia; Freni, Giuseppe
• 署名单位: Centre National de la Recherche Scientifique (CNRS); Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; INRAE; Universite Grenoble Alpes (UGA); Universita Ca Foscari Venezia; Parthenope University Naples
• 刊物名称: THEORETICAL ECONOMICS
• ISSN/ISSBN: 1933-6837
• DOI: 10.3982/TE4328
• 发表日期: 2024-05-01
• 页码: 743-781
• 关键词: Harvesting; spatial models; differential games; nature reserves; C73; Q20; Q28; R11

摘要

This study examines the dynamics of the exploitation of a natural resource distributed among and flowing between several nodes connected via a weighted, directed network. The network represents the locations and interactions of the resource nodes. A regulator decides to designate some of the nodes as natural reserves where no exploitation is allowed. The remaining nodes are assigned (one-to-one) to players, who exploit the resource at the node. It is demonstrated how the equilibrium exploitation and resource stocks depend on the productivity of the resource sites, the structure of the connections between the sites, and the number and preferences of the agents. The best locations to host nature reserves are identified per the model's parameters and correspond to the most central (in the sense of eigenvector centrality) nodes of a suitably redefined network that considers the nodes' productivity.