A game Pareto Complete Analysis in n-Dimensions: A General Applicative Study Case
A game Pareto Complete Analysis in n-Dimensions: A General Applicative Study Case
Author(s): David CARFISubject(s): Economy
Published by: ASERS Publishing
Keywords: Pareto study of differentiable games; n person games; Jacobian matrix; Jacobian determinant; game critical part; critical points of vector functions; maximal boundary; non cooperative games; compromis
Summary/Abstract: The study proposed here considers an applicable game model, in a specific non-linear interfering scenario, with n possible interacting elements. We find the Pareto maximal boundary by using the Carfì’s payoff analysis method for differentiable games. The core section of the paper studies the game by finding the critical zone of the game in its Cartesian form. At this aim, we need to prove an intricate the-orem and a technical lemma about the Jacobian determinant of the examined n-game.
Journal: Journal of Mathematical Economics and Finance
- Issue Year: III/2017
- Issue No: 1(4)
- Page Range: 23-46
- Page Count: 24
- Language: English
- Content File-PDF