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Mean-Field-Game Model of Corruption

Author

Listed:
  • V. N. Kolokoltsov

    (University of Warwick)

  • O. A. Malafeyev

    (St.-Petersburg State University)

Abstract

A simple model of corruption that takes into account the effect of the interaction of a large number of agents by both rational decision making and myopic behavior is developed. Its stationary version turns out to be a rare example of an exactly solvable model of mean-field-game type. The results show clearly how the presence of interaction (including social norms) influences the spread of corruption by creating certain phase transition from one to three equilibria.

Suggested Citation

  • V. N. Kolokoltsov & O. A. Malafeyev, 2017. "Mean-Field-Game Model of Corruption," Dynamic Games and Applications, Springer, vol. 7(1), pages 34-47, March.
    • Handle: RePEc:spr:dyngam:v:7:y:2017:i:1:d:10.1007_s13235-015-0175-x
    DOI: 10.1007/s13235-015-0175-x
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    Cited by:

    1. 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.
    2. Sanz Nogales, Jose M. & Zazo, S., 2020. "Replicator based on imitation for finite and arbitrary networked communities," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    3. Kirill Kozlov & Guennady Ougolnitsky, 2022. "A Game Theoretic Model of Struggle with Corruption in Auctions: Computer Simulation," Mathematics, MDPI, vol. 10(19), pages 1-11, October.
    4. Jan B. Broekaert & Davide Torre & Faizal Hafiz, 2024. "Competing control scenarios in probabilistic SIR epidemics on social-contact networks," Annals of Operations Research, Springer, vol. 336(3), pages 2037-2060, May.
    5. Christoph Belak & Daniel Hoffmann & Frank T. Seifried, 2020. "Continuous-Time Mean Field Games with Finite StateSpace and Common Noise," Working Paper Series 2020-05, University of Trier, Research Group Quantitative Finance and Risk Analysis.
    6. Berenice Anne Neumann, 2024. "A myopic adjustment process for mean field games with finite state and action space," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(1), pages 159-195, March.
    7. O. A. Malafeyev & I. I. Pavlov, 2019. "Dynamic investment model of the life cycle of a company under the influence of factors in a competitive environment," Papers 1904.06298, arXiv.org, revised Apr 2019.
    8. V. N. Kolokoltsov & O. A. Malafeyev, 2018. "Corruption and botnet defense: a mean field game approach," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(3), pages 977-999, September.
    9. Yurii Averboukh & Aleksei Volkov, 2024. "Planning Problem for Continuous-Time Finite State Mean Field Game with Compact Action Space," Dynamic Games and Applications, Springer, vol. 14(2), pages 285-303, May.
    10. Berenice Anne Neumann, 2020. "Stationary Equilibria of Mean Field Games with Finite State and Action Space," Dynamic Games and Applications, Springer, vol. 10(4), pages 845-871, December.
    11. Neumann, Berenice Anne, 2022. "Essential stationary equilibria of mean field games with finite state and action space," Mathematical Social Sciences, Elsevier, vol. 120(C), pages 85-91.

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