Publication Date



Technical Report: UTEP-CS-16-24a

To appear in Proceedings of International IEEE Conference on Systems, Man, and Cybernetics SMC'2016, Budapest, Hungary, October 9-12, 2016.


In situations when several participants collaborate with each other, it is desirable to come up with a fair way to divide the resulting gain between the participants. Such a fair way was proposed by John von Neumann and Oscar Morgenstern, fathers of the modern game theory. However, in some situations, the von Neumann-Morgenstern solution does not exist. To cover such situations, we propose to use a fuzzy-inspired hierarchical version of the von Neumann-Morgenstern (NM) solution. We prove that, in contrast to the original NM solution, the hierarchical version always exists.

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