Geodesic
Principles of dynamic stability
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 1 (2009) no. 1, pp. 106-123

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There are three important aspects which must be taken into account when the problem of stability of long-range cooperative agreements is investigated: time-consistency of the cooperative agreements, strategic stability and irrational behavior proofness. The mathematical results based on imputation distribution procedures (IDP) are developed to deal with the above mentioned aspects of cooperation. We proved that for a special class of differential games time-consistent cooperative agreement can be strategically supported by Nash equilibrium. We also consider an example where all three conditions are satisfied.
Keywords: differential game, cooperative solution, time-consistency of the cooperative agreements, payoff distribution procedures (PDP), imputation distribution procedures (IDP), strategic stability, irrational behavior proofness. 
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     author = {Leon Petrosyan and Nickolay Zenkevich},
     title = {Principles of dynamic stability},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {106--123},
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     volume = {1},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2009_1_1_a5/}
}
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Leon Petrosyan; Nickolay Zenkevich. Principles of dynamic stability. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 1 (2009) no. 1, pp. 106-123. http://geodesic.mathdoc.fr/item/MGTA_2009_1_1_a5/