Guarantees in Fair Division: general or monotone preferences
Résumé
To divide a ”manna” Ω of private items (commodities, workloads,
land, time intervals) between n agents, the worst case measure of fairness is the welfare guaranteed to each agent, irrespective of others’
preferences. If the manna is non atomic and utilities are continuous (not necessarily monotone or convex), we can guarantee the minMax utility: that of our agent’s best share in her worst partition of
the manna; and implement it by Kuhn’s generalisation of Divide and
Choose. The larger Maxmin utility – of her worst share in her best
partition – cannot be guaranteed, even for two agents.
If for all agents more manna is better than less (or less is better
than more), our Bid & Choose rules implement guarantees between
minMax and Maxmin by letting agents bid for the smallest (or largest)
size of a share they find acceptable.
Domaines
Economies et finances
Origine : Fichiers produits par l'(les) auteur(s)