English

Corruption and botnet defense: a mean field game approach

Optimization and Control 2022-05-03 v1

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 2d2d states, dNd\in \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.

Keywords

Cite

@article{arxiv.1607.07350,
  title  = {Corruption and botnet defense: a mean field game approach},
  author = {Vassili N. Kolokoltsov and Oleg A. Malafeyev},
  journal= {arXiv preprint arXiv:1607.07350},
  year   = {2022}
}
R2 v1 2026-06-22T15:03:40.260Z