On the fair division of a random object

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Tác giả: Anna Bogomolnaia, Herve Moulin, Fedor Sandomirskiy

Ngôn ngữ: eng

Ký hiệu phân loại: 133.32 Fortune-telling by crystals and stones; dowsing; fortune-telling by

Thông tin xuất bản: 2019

Mô tả vật lý:

Bộ sưu tập: Metadata

ID: 162739

 Ann likes oranges much more than apples
  Bob likes apples much more than oranges. Tomorrow they will receive one fruit that will be an orange or an apple with equal probability. Giving one half to each agent is fair for each realization of the fruit. However, agreeing that whatever fruit appears will go to the agent who likes it more gives a higher expected utility to each agent and is fair in the average sense: in expectation, each agent prefers his allocation to the equal division of the fruit, i.e., he gets a fair share. We turn this familiar observation into an economic design problem: upon drawing a random object (the fruit), we learn the realized utility of each agent and can compare it to the mean of his distribution of utilities
  no other statistical information about the distribution is available. We fully characterize the division rules using only this sparse information in the most efficient possible way, while giving everyone a fair share. Although the probability distribution of individual utilities is arbitrary and mostly unknown to the manager, these rules perform in the same range as the best rule when the manager has full access to this distribution.Comment: old version was titled "A simple Online Fair Division problem"
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