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The Evolutionary Game of Pressure (or Interference), Resistance and Collaboration

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  • Vassili Kolokoltsov

    (Department of Statistics, The University of Warwick, Coventry CV4 7AL, United Kingdom)

Abstract

In this paper we extend the framework of the evolutionary inspection game put forward recently by the author and coworkers to a large class of conflict interactions to address the pressure executed by the major player (or principal) on the large group of small players who can resist this pressure or collaborate with the major player. We prove rigorous results on the convergence of various Markov decision models of interacting small agents (including evolutionary growth), i.e., pairwise, in groups and by coalition formation, to a deterministic evolution on the distributions of the state spaces of small players paying main attention to situations with an infinite state-space of small players. We supply precise rates of convergence. The theoretical results of the paper are applied to the analysis of the processes of inspection, corruption, cyber-security, counter-terrorism, banks and firms merging, strategically enhanced preferential attachment, and many other.

Suggested Citation

  • Vassili Kolokoltsov, 2017. "The Evolutionary Game of Pressure (or Interference), Resistance and Collaboration," Mathematics of Operations Research, INFORMS, vol. 42(4), pages 915-944, November.
    • Handle: RePEc:inm:ormoor:v:42:y:2017:i:4:p:915-944
    DOI: 10.1287/moor.2016.0838
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    Cited by:

    1. Ilaria Colivicchi & Gianluca Iannucci, 2023. "The Environmental Responsibility of Firms and Insurance Coverage in an Evolutionary Game," Dynamic Games and Applications, Springer, vol. 13(3), pages 801-818, September.
    2. Eduardo V. M. Vieira & José F. Fontanari, 2024. "A Soluble Model for the Conflict between Lying and Truth-Telling," Mathematics, MDPI, vol. 12(3), pages 1-14, January.
    3. Vassili N. Kolokoltsov & Dmitri V. Vetchinnikov, 2023. "On Effective Fine Functions for Inspection—Corruption Games (Evolutionary Approach)," Mathematics, MDPI, vol. 11(15), pages 1-11, August.
    4. Angelo Antoci & Simone Borghesi & Gianluca Iannucci, 2021. "(Dis)honest bureaucrats and (non)compliant firms in an evolutionary game," Metroeconomica, Wiley Blackwell, vol. 72(2), pages 321-344, May.
    5. Vassili N. Kolokoltsov, 2021. "Inspection—Corruption Game of Illegal Logging and Other Violations: Generalized Evolutionary Approach," Mathematics, MDPI, vol. 9(14), pages 1-14, July.
    6. Qiang Wang & Zhongfu Tan & Gejirifu De & Qingkun Tan & Lei Pu, 2019. "An Evolutionary Game Study of Clean Heating Promotion Mechanisms under the Policy Regulation in China," Sustainability, MDPI, vol. 11(14), pages 1-22, July.
    7. Deutsch, Yael, 2021. "A polynomial-time method to compute all Nash equilibria solutions of a general two-person inspection game," European Journal of Operational Research, Elsevier, vol. 288(3), pages 1036-1052.

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