Non-cooperative Games
Abstract
An n-person game in strategic form is defined by a triplet G = ( N , { A i } i∈N , { u i } i∈N ) with the following elements. N = {1 ,...,n } is a set of players where n ≥ 2. Each A i (i ∈ N ) is a finite set of pure strategies (or actions ) for player i . The Cartesian product A = Π i ∈ N A i is the set of pure strategy profiles a = ( a 1 ,...,a n ). The real-valued function u i on A is a payoff function of player i . A game in strategic form is abbreviated as a strategic game. In what follows, we denote by Δ( X ) the set of probability distributions on a finite set X .
Fields of Study & Subjects
Game Theory and Applications
Game Theory and Voting Systems
Evolutionary Game Theory and Cooperation
Publication details
- Journal / source
- Cambridge University Press eBooks
- Pages
- 31–45
- Publication date
- 14 March 2026
- Language
- EN
- Document type
- Book chapter