A multilinear interaction model: algorithms for Kalai-Smorodinsky solution

  • Alessia Donato University of Messina, Italy

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 numerical ly for n = 7.

References

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Published
2017-08-25
How to Cite
DONATO, Alessia. A multilinear interaction model: algorithms for Kalai-Smorodinsky solution. Journal of Mathematical Economics and Finance, [S.l.], v. 3, n. 1, p. 47 - 76, aug. 2017. ISSN 2458-0813. Available at: <https://journals.aserspublishing.eu/jmef/article/view/1355>. Date accessed: 22 jan. 2022. doi: https://doi.org/10.14505//jmef.v3.1(4).03.