Counterexamples in the theory of fair division - Mathematics > ProbabilityReport as inadecuate




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Abstract: The formal mathematical theory of fair division has a rich history datingback at least to Steinhaus in the 1940-s. In recent work in this area, severalgeneral classes of errors have appeared along with confusion about thenecessity and sufficiency of certain hypotheses. It is the purpose of thisarticle to correct the scientific record and to point out with concreteexamples some of the pitfalls that have led to these mistakes. These examplesmay serve as guideposts for future work.



Author: Theodore P. Hill, Kent E. Morrison

Source: https://arxiv.org/







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