A Multilinear Interaction Model: Algorithms for
Kalai-Smorodinsky Solution
A Multilinear Interaction Model: Algorithms for
Kalai-Smorodinsky Solution
Author(s): Alessia DonatoSubject(s): Economy
Published by: ASERS Publishing
Keywords: Kalai-Smorodinsky solution; algorithms; Pareto Study of Differentiable Games; n person games; game critical part; maximal boundary; non cooperative games; compromise scenario;
Summary/Abstract: We implement Matlab algorithms for the construction and representation of the payoff space in a certain applicable game models, in 2 and 3 dimensions. More over our algorithms can find the Kalai-Smorodinsky solutions in the same game with some interfering elements. We write down the intersection of the critical zone and the Kalai-Smorodinsky straight-line for finding the compromise solution. We propose a software for the determination of the graphs. In the Appendix we solve the problem in closed form for the 2 and 3 dimensional case and numerically for n = 7.
Journal: Journal of Mathematical Economics and Finance
- Issue Year: III/2017
- Issue No: 1(4)
- Page Range: 47-76
- Page Count: 30
- Language: English
- Content File-PDF