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A Sequential Allocation Problem: The Asymptotic Distribution of Resources
A Sequential Allocation Problem: The Asymptotic Distribution of Resources
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A Sequential Allocation Problem: The Asymptotic Distribution of Resources
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A Sequential Allocation Problem: The Asymptotic Distribution of Resources
A Sequential Allocation Problem: The Asymptotic Distribution of Resources

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A Sequential Allocation Problem: The Asymptotic Distribution of Resources
A Sequential Allocation Problem: The Asymptotic Distribution of Resources
Journal Article

A Sequential Allocation Problem: The Asymptotic Distribution of Resources

2017
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Overview
In this paper, we consider a sequential allocation problem with n individuals. The first individual can consume any amount of a resource, leaving the remainder for the second individual, and so on. Motivated by the limitations associated with the cooperative or non-cooperative solutions, we propose a new approach from basic definitions of representativeness and equal treatment. The result is a unique asymptotic allocation rule for any number of individuals. We show that it satisfies a set of desirable properties.