IDEAS home Printed from https://ideas.repec.org/a/spr/jogath/v47y2018i3d10.1007_s00182-018-0614-1.html
   My bibliography  Save this article

Corruption and botnet defense: a mean field game approach

Author

Listed:
  • V. N. Kolokoltsov

    (University of Warwick
    National Research University Higher School of Economics)

  • O. A. Malafeyev

    (St. Petersburg State University)

Abstract

Recently developed toy models for the mean-field games of corruption and botnet defence in cyber-security with three or four states of agents are extended to a more general mean-field-game model with 2d states, $$d\in \mathbf {N}$$ d ∈ N . In order to tackle new technical difficulties arising from a larger state-space we introduce new asymptotic regimes, namely small discount and small interaction asymptotics. Moreover, the link between stationary and time-dependent solutions is established rigorously leading to a performance of the turnpike theory in a mean-field-game setting.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jogath:v:47:y:2018:i:3:d:10.1007_s00182-018-0614-1
    DOI: 10.1007/s00182-018-0614-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00182-018-0614-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00182-018-0614-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Stamatios Katsikas & Vassili Kolokoltsov & Wei Yang, 2016. "Evolutionary Inspection and Corruption Games," Games, MDPI, vol. 7(4), pages 1-25, October.
    2. 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.
    3. Diogo Gomes & João Saúde, 2014. "Mean Field Games Models—A Brief Survey," Dynamic Games and Applications, Springer, vol. 4(2), pages 110-154, June.
    4. Vassili Kolokoltsov & Wei Yang, 2012. "Turnpike Theorems for Markov Games," Dynamic Games and Applications, Springer, vol. 2(3), pages 294-312, September.
    5. Arvind K. Jain, 2001. "Corruption: A Review," Journal of Economic Surveys, Wiley Blackwell, vol. 15(1), pages 71-121, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Malafeyev Oleg & Kun Zhang, 2023. "Pursuit Problem of Unmanned Aerial Vehicles," Mathematics, MDPI, vol. 11(19), pages 1-26, October.
    2. 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.
    3. Berenice Anne Neumann, 2020. "A Myopic Adjustment Process for Mean Field Games with Finite State and Action Space," Papers 2008.13420, arXiv.org.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Blackburn, Keith & Forgues-Puccio, Gonzalo F., 2009. "Why is corruption less harmful in some countries than in others?," Journal of Economic Behavior & Organization, Elsevier, vol. 72(3), pages 797-810, December.
    7. Cao, Chunfang & Li, Xiaoyang & Xia, Changyuan, 2021. "The complicit role of local government authorities in corporate bribery: Evidence from a tax collection reform in China," China Economic Review, Elsevier, vol. 65(C).
    8. Maria Kravtsova & Aleksey Oshchepkov, 2019. "Market And Network Corruption," HSE Working papers WP BRP 209/EC/2019, National Research University Higher School of Economics.
    9. Paulo B. Brito, 2022. "The dynamics of growth and distribution in a spatially heterogeneous world," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 21(3), pages 311-350, September.
    10. Ye-Feng Chen & Shu-Guang Jiang & Marie Claire Villeval, 2015. "The Tragedy of Corruption. Corruption as a social dilemma," Working Papers 1531, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    11. Ming Lu & Zhao Chen & Shuang Zhang, 2008. "Paying for the Dream of Public Ownership: Case Studies on Corruption and Privatization in China," Transition Studies Review, Springer;Central Eastern European University Network (CEEUN), vol. 15(2), pages 355-373, September.
    12. Ghulam Shabbir & Mumtaz Anwar & Shahid Adil, 2016. "Corruption, Political Stability and Economic Growth," The Pakistan Development Review, Pakistan Institute of Development Economics, vol. 55(4), pages 689-702.
    13. Zeeshan Noor Siddiqui, 2017. "Understanding the Linkage among Public Procurement (PP), Corruption, and Tax Morale (TM) Through Agency Theory (AT): A Review," Business & Economic Review, Institute of Management Sciences, Peshawar, Pakistan, vol. 9(3), pages 258-288, September.
    14. Lurdes Martins & Jorge Cerdeira & Aurora A.C. Teixeira, 2020. "Does corruption boost or harm firms’ performance in developing and emerging economies? A firm‐level study," The World Economy, Wiley Blackwell, vol. 43(8), pages 2119-2152, August.
    15. Bin Dong & Benno Torgler, 2010. "The Causes of Corruption: Evidence from China," Working Papers 2010.72, Fondazione Eni Enrico Mattei.
    16. repec:ces:ifodic:v:9:y:2011:i:2:p:16134033 is not listed on IDEAS
    17. Arvind K. Jain, 2011. "Corruption: Theory, Evidence and Policy," ifo DICE Report, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, vol. 9(2), pages 3-9, 07.
    18. Majeed, Muhammad Tariq & MacDonald, Ronald, 2010. "Corruption and the Military in Politics: Theory and Evidence from around the World," SIRE Discussion Papers 2010-91, Scottish Institute for Research in Economics (SIRE).
    19. Graziella Bonanno & Lucia Errico & Nadia Fiorino & Roberto Ricciuti, 2024. "The Impact of Government Size on Corruption: A Meta-Regression Analysis," CESifo Working Paper Series 10956, CESifo.
    20. Keith Blackburn & Rashmi Sarmah, 2006. "Red Tape, Corruption and Finance," Economics Discussion Paper Series 0639, Economics, The University of Manchester.
    21. Burak Polat, 2017. "Social Media’s Position in Web Within the Scope of Online Information Flow," European Journal of Social Sciences Education and Research Articles, Revistia Research and Publishing, vol. 4, ejser_v4_.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:jogath:v:47:y:2018:i:3:d:10.1007_s00182-018-0614-1. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.