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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 . doi:10.1007/s00182-018-0614-1 (In Press)
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Official URL: http://dx.doi.org/10.1007/s00182-018-0614-1
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 | ||||||
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| Divisions: | Faculty of Science > Statistics | ||||||
| Journal or Publication Title: | International Journal of Game Theory | ||||||
| Publisher: | Springer | ||||||
| ISSN: | 0020-7276 | ||||||
| Official Date: | 22 February 2018 | ||||||
| Dates: |
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| Date of first compliant deposit: | 11 April 2018 | ||||||
| DOI: | 10.1007/s00182-018-0614-1 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | In Press | ||||||
| Access rights to Published version: | Open Access |
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