Superadditive extension of characteristic functions for cooperative differential games

  • Екатерина Викторовна Громова Санкт-Петербургский Государственный университет
  • Ekaterina Gromova Saint Petersburg State University
  • Екатерина Марова Санкт-Петербургский Государственный университет
  • Ekaterina Marova Saint Petersburg State University
Keywords: cooperative games, characteristic function, differential games, superadditivity

Abstract

The paper provides a constructive theorem that allows one to construct a superadditive characteristic function in a differential game based on a non-superadditive one. As an example, a differential game is considered in which the delta - and eta - characteristic functions are not superadditive. An additional construction is carried out and it is shown that the obtained functions satisfy superadditivity

 

Published
2020-12-23
How to Cite
Громова, Е., Gromova, E., Марова, Е., & Marova, E. (2020). Superadditive extension of characteristic functions for cooperative differential games. Mathematical Game Theory and Applications, 12(4), 40-61. https://doi.org/10.17076/mgta_2020_4_25