Fair Division of Territories: Testing the Feasibility of Axiomatic Models

Student: Auster Ivan

Educational Programme: Applied Mathematics and Information Science (Bachelor)

Year of Graduation: 2019

Arctic region contains a large amount of different natural resources: fish, oil and gas. Also shipping routes are efficient for some countries there. Therefore, the problem of allocation of disputable zones of Arctic among interested countries is extremely important. In Aleskerov and Shvydun (Allocation of Disputable Zones in the Arctic Region. Group Decision and Negotiations, 1-32) different models to solve this problem are proposed. Then obtained allocations are analyzed in terms of satisfaction levels and levels of envy-freeness of all countries. The aim of this paper is to analyze these allocations in terms of ɛ-extensions of fair division properties and to interpret results.

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