A coalitional differential game of vaccine producers

  • Серинь Моду Ндиайе Saint Petersburg State University
  • Serigne Ndiaye Saint Petersburg State University
  • Елена Михайловна Парилина Saint Petersburg State University
  • Elena Parilina Saint Petersburg State University
DOI: https://doi.org/10.17076/mgta_2023_3_72
Keywords: differential game, Nash equilibrium, cooperative solution, coalition structure, stability

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.

Published
2024-02-02
How to Cite
Ндиайе, С., Ndiaye, S., Парилина, Е., & Parilina, E. (2024). A coalitional differential game of vaccine producers. Mathematical Game Theory and Applications, 15(3), 21-40. https://doi.org/10.17076/mgta_2023_3_72
Issue
Vol 15 No 3 (2023): Mathematical Game Theory and Applications
Section
Статьи
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