Geodesic
Strategic stability in linear-quadratic differential games with nontransferable payoffs
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 7 (2015) no. 4, pp. 56-70

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The problem of strategically supported cooperation in linear-quadratic differential games with nontranferable payoffs is considered. It is assumed, that the player uses the payoff distribution procedure to get the individual rationality of cooperative solution. To punish those who violate cooperative agreement, the special game, which differs from initial one only by the players' payoffs on cooperative trajectory is constructed. It is shown that in the new game there exists an $\varepsilon$-equilibrium with players' payoffs equal to corresponding cooperative players' payoffs in initial game.
Keywords: linear-quadratic game, differential game, cooperative game, strategic stability.
Mots-clés : Pareto-optimal solution 
@article{MGTA_2015_7_4_a4,
     author = {Anna V. Tur},
     title = {Strategic stability in linear-quadratic differential games with nontransferable payoffs},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {56--70},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2015_7_4_a4/}
}
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Anna V. Tur. Strategic stability in linear-quadratic differential games with nontransferable payoffs. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 7 (2015) no. 4, pp. 56-70. http://geodesic.mathdoc.fr/item/MGTA_2015_7_4_a4/