Kolokoltsov, V. N. (Vasiliĭ Nikitich) and Malafeyev, O. A. (2018) Corruption and botnet defense : a mean field game approach. International Journal of Game Theory, 47 . pp. 977-999. doi:10.1007/s00182-018-0614-1 ISSN 0020-7276.

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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∈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.

Item Type:	Journal Article
Divisions:	Faculty of Science, Engineering and Medicine > Science > Statistics
Journal or Publication Title:	International Journal of Game Theory
Publisher:	Springer
ISSN:	0020-7276
Official Date:	September 2018
Dates:	Date Event September 2018 Published 22 February 2018 Available 13 February 2018 Accepted
Volume:	47
Page Range:	pp. 977-999
DOI:	10.1007/s00182-018-0614-1
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access (Creative Commons)
Date of first compliant deposit:	11 April 2018
Date of first compliant Open Access:	11 April 2018

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