Geodesic
A coalitional differential game of vaccine producers
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 15 (2023) no. 3, pp. 21-40

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The paper proposes a game-theoretic model of competition and cooperation of vaccine producers. Various versions of players' cooperation (partial and full) have been studied. The differential game has an infinite duration. For each possible coalition of players, the profits and production quantities of its members are determined. An stability analysis of possible coalition structures, as well as coalitions that are most attractive to customers has been made.
Keywords: differential game, Nash equilibrium, cooperative solution, stability.
Mots-clés : coalition structure 
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     author = {Serigne M. Ndiaye and Elena M. Parilina},
     title = {A coalitional differential game of vaccine producers},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {21--40},
     publisher = {mathdoc},
     volume = {15},
     number = {3},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2023_15_3_a1/}
}
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Serigne M. Ndiaye; Elena M. Parilina. A coalitional differential game of vaccine producers. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 15 (2023) no. 3, pp. 21-40. http://geodesic.mathdoc.fr/item/MGTA_2023_15_3_a1/