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# Corruption and botnet defense: a mean field game approach

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### 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, $$d\in \N$$. 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.

### Most cited references14

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### Jeux à champ moyen. I – Le cas stationnaire

(2006)
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### Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle

(2006)
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### Corruption: A Review

(2001)
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### Author and article information

###### Journal
2016-07-25
###### Article
1607.07350