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Game Theory for Managing Evolving Systems: Challenges and Opportunities of Including Vector-Valued Strategies and Life-History Traits

Author

Listed:
  • Maria Kleshnina

    (Institute for Advanced Study in Toulouse)

  • Sabrina Streipert

    (University of Pittsburgh)

  • Joel S. Brown

    (Moffitt Cancer Center)

  • Kateřina Staňková

    (Delft University of Technology)

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.

Suggested Citation

  • Maria Kleshnina & Sabrina Streipert & Joel S. Brown & Kateřina Staňková, 2023. "Game Theory for Managing Evolving Systems: Challenges and Opportunities of Including Vector-Valued Strategies and Life-History Traits," Dynamic Games and Applications, Springer, vol. 13(4), pages 1130-1155, December.
    • Handle: RePEc:spr:dyngam:v:13:y:2023:i:4:d:10.1007_s13235-023-00544-5
    DOI: 10.1007/s13235-023-00544-5
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    1. Robert A. Gatenby, 2009. "A change of strategy in the war on cancer," Nature, Nature, vol. 459(7246), pages 508-509, May.
    2. Soul‐kifouly G. Midingoyi & Menale Kassie & Beatrice Muriithi & Gracious Diiro & Sunday Ekesi, 2019. "Do Farmers and the Environment Benefit from Adopting Integrated Pest Management Practices? Evidence from Kenya," Journal of Agricultural Economics, Wiley Blackwell, vol. 70(2), pages 452-470, June.
    3. Benjamin Wölfl & Hedy te Rietmole & Monica Salvioli & Artem Kaznatcheev & Frank Thuijsman & Joel S. Brown & Boudewijn Burgering & Kateřina Staňková, 2022. "The Contribution of Evolutionary Game Theory to Understanding and Treating Cancer," Dynamic Games and Applications, Springer, vol. 12(2), pages 313-342, June.
    4. Oliver R W Pergams & Joshua J Lawler, 2009. "Recent and Widespread Rapid Morphological Change in Rodents," PLOS ONE, Public Library of Science, vol. 4(7), pages 1-11, July.
    5. Monica Salvioli & Johan Dubbeldam & Kateřina Staňková & Joel S Brown, 2021. "Fisheries management as a Stackelberg Evolutionary Game: Finding an evolutionarily enlightened strategy," PLOS ONE, Public Library of Science, vol. 16(1), pages 1-20, January.
    6. Madhu Khanna & William Rose Q. Anton, 2002. "Corporate Environmental Management: Regulatory and Market-Based Incentives," Land Economics, University of Wisconsin Press, vol. 78(4), pages 539-558.
    7. Joïlle Noailly & Jeroen C.J.M. van den Bergh & Cees A. Withagen, 2003. "Evolution of harvesting strategies: replicator and resource dynamics," Journal of Evolutionary Economics, Springer, vol. 13(2), pages 183-200, April.
    8. Beyer, Hawthorne L. & Dujardin, Yann & Watts, Matthew E. & Possingham, Hugh P., 2016. "Solving conservation planning problems with integer linear programming," Ecological Modelling, Elsevier, vol. 328(C), pages 14-22.
    9. Page, F H, Jr, 1989. "Incentive Compatible Strategies for General Stackelberg Games with Incomplete Information," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(4), pages 409-421.
    10. Troost, T.A. & Kooi, B.W. & Kooijman, S.A.L.M., 2007. "Bifurcation analysis of ecological and evolutionary processes in ecosystems," Ecological Modelling, Elsevier, vol. 204(1), pages 253-268.
    11. Jingsong Zhang & Jessica J. Cunningham & Joel S. Brown & Robert A. Gatenby, 2017. "Integrating evolutionary dynamics into treatment of metastatic castrate-resistant prostate cancer," Nature Communications, Nature, vol. 8(1), pages 1-9, December.
    12. Jessica Cunningham & Frank Thuijsman & Ralf Peeters & Yannick Viossat & Joel Brown & Robert Gatenby & Kateřina Staňková, 2020. "Optimal control to reach eco-evolutionary stability in metastatic castrate-resistant prostate cancer," PLOS ONE, Public Library of Science, vol. 15(12), pages 1-24, December.
    13. Patrik Nosil & Samuel M. Flaxman & Jeffrey L. Feder & Zachariah Gompert, 2020. "Increasing our ability to predict contemporary evolution," Nature Communications, Nature, vol. 11(1), pages 1-6, December.
    14. Neil Vasan & José Baselga & David M. Hyman, 2019. "A view on drug resistance in cancer," Nature, Nature, vol. 575(7782), pages 299-309, November.
    15. Rezaei, Jafar, 2015. "Best-worst multi-criteria decision-making method," Omega, Elsevier, vol. 53(C), pages 49-57.
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