Domaine de victoire et stratégies viables dans le cas d'une correspondance non-convexe : application à l'anthropologie des pêcheurs selon Fredrik Barth

TL;DRAbstract

The anthropologist Fredrik Barth analysed the social forms generated among Norvegian fishermen. His view is well rendered by the mathematical tools of viability theory. The largest set of states from which economic survival is still possible is calculated, as well as the right decision to take at each moment, between risk-taking and following the other vessels. Moreover, the technical condition that the image of the correspondence describing the process at work must be compact, isviolated. We deal with this difficulty and we present the algorithm.

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