TY - JOUR

T1 - Corruption and botnet defense

T2 - a mean field game approach

AU - Kolokoltsov, V. N.

AU - Malafeyev, O. A.

PY - 2018/9/1

Y1 - 2018/9/1

N2 - 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 is an element of 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.

AB - 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 is an element of 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.

KW - Mean-field game

KW - Stable equilibrium

KW - Turnpike

KW - Botnet defense

KW - Cyber-security

KW - Corruption

KW - Inspection

KW - Social norms

KW - Disease spreading

KW - THEOREMS

UR - http://www.scopus.com/inward/record.url?scp=85042376094&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/corruption-botnet-defense-mean-field-game-approach

U2 - 10.1007/s00182-018-0614-1

DO - 10.1007/s00182-018-0614-1

M3 - статья

AN - SCOPUS:85042376094

VL - 47

SP - 977

EP - 999

JO - International Journal of Game Theory

JF - International Journal of Game Theory

SN - 0020-7276

IS - 3

ER -