Fair Division with Money and Prices

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Date

16 février 2022

Type de document
Périmètre
Identifiant
  • 2202.08117
Collection

arXiv

Organisation

Cornell University




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Anna Bogomolnaia et al., « Fair Division with Money and Prices », arXiv - économie


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Résumé 0

We must divide a finite number of indivisible goods and cash transfers between agents with quasi-linear but otherwise arbitrary utilities over the subsets of goods. We compare two division rules with cognitively feasible and privacy preserving individual messages. In Sell&Buy agents bid for the role of Seller or Buyer: with two agents the smallest bid defines the Seller who then charges any a price constrained only by her winning bid. In Divide&Choose agents bid for the role of Divider, then everyone bids on the shares of the Divider's partition. S&B dominates D&C on two counts: its guaranteed utility in the worst case rewards (resp. penalises) more subadditive (resp. superadditive) utilities; playing safe is never ambiguous and is also better placed to collect a larger share of the efficient surplus.

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