English

A mathematical theory of power

Theoretical Economics 2024-01-30 v1

Abstract

This paper proposes a new approach to power in Game Theory. Cooperation and conflict are simulated with a mechanism of payoff alteration, called F-game. Using convex combinations of preferences, an F-game can measure players' attitude to cooperate. We can then define actual and potential power as special relations between different states of the system.

Keywords

Cite

@article{arxiv.2401.16406,
  title  = {A mathematical theory of power},
  author = {Daniele De Luca},
  journal= {arXiv preprint arXiv:2401.16406},
  year   = {2024}
}

Comments

25 pages