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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
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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: | September 2018 | ||||||||
| Dates: |
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| 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 |
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