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JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2023 Volume 15, Issue 3, Pages 21–40 (Mi mgta334)

A coalitional differential game of vaccine producers

Serigne M. Ndiaye, Elena M. Parilina

Saint Petersburg State University

Abstract: 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, coalition structure, stability.

UDC: 519.837
BBK: 22.18

Received: 09.04.2023
Revised: 10.08.2023
Accepted: 01.09.2023



© Steklov Math. Inst. of RAS, 2026