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Corruption and botnet defense : a mean field game approach

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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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Official URL: http://dx.doi.org/10.1007/s00182-018-0614-1

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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:
DateEvent
September 2018Published
22 February 2018Available
13 February 2018Accepted
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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