Print Email Facebook Twitter Game Theory for Managing Evolving Systems Title Game Theory for Managing Evolving Systems: Challenges and Opportunities of Including Vector-Valued Strategies and Life-History Traits Author Kleshnina, Maria (Institute for Advanced Study in Toulouse) Streipert, Sabrina (University of Pittsburgh) Brown, Joel S. (Lee Moffitt Cancer Center and Research Institute) Staňková, K. (TU Delft Transport and Logistics) Date 2023 Abstract Nature exhibits rapid evolution in response to human activities. When using natural resources for their own profit, humans should account for such responses. Stackelberg evolutionary games (SEG) offer a method for modeling interactions between a rational leader (humans) and evolutionary followers (nature). The followers evolve according to the principles of natural selection, and the leader tries to steer these inevitable responses in a desired direction. While the separate elements of this method, Stackelberg and evolutionary game theory, are well established, their joint realization in SEG theory is underdeveloped. Thus far, simple examples and formalisms of SEGs have considered models where the manager and evolving species have a scalar-valued controller and scalar-valued trait, respectively. Here we provide examples from cancer therapy, fisheries management, and pest control to illustrate extensions of SEG theory, where managers are attempting to control a Darwinian system. The models we develop and present highlight extensions of SEG theory to include vector-valued management strategies and vector-valued traits in the evolving species, and traits influencing different life-history stages of the species under management. Throughout we highlight the mathematical challenges that lie ahead. Subject Fisheries managementGame theoryMathematical oncologyPest managementStackelberg evolutionary games To reference this document use: http://resolver.tudelft.nl/uuid:8b82fb07-e91d-45bf-8c17-daa17d490f4e DOI https://doi.org/10.1007/s13235-023-00544-5 Embargo date 2024-06-06 ISSN 2153-0785 Source Dynamic Games and Applications, 13 (4), 1130-1155 Part of collection Institutional Repository Document type journal article Rights © 2023 Maria Kleshnina, Sabrina Streipert, Joel S. Brown, K. Staňková Files PDF s13235_023_00544_5.pdf 1.94 MB Close viewer /islandora/object/uuid:8b82fb07-e91d-45bf-8c17-daa17d490f4e/datastream/OBJ/view