14 papers · 1 filter
On MMS allocations with few items
Uriel Feige
We consider the problem of allocating indivisible items to agents. For , we define as the largest for which every allocation instance with agents an…
On best of both worlds allocations with subadditive valuations
Uriel Feige
We consider allocation of indivisible goods to agents with equal entitlements and subadditive valuations. As an ex-post fairness notion we consider the maximin share (MMS), and as…
A lone divider allocation algorithm with subjective divisibility
Uriel Feige
In the subjective divisibility allocation model, all goods are divisible, every agent has a non-negative additive valuation function , where for some goods is additi…
Fair Allocation with Optional Selling
Uriel Feige, Yotam Gafni
We consider fair allocation of indivisible goods in a setting in which agents have subjective valuation functions over the set of goods, and in addition, goods may be sold at given…
Simultaneous EF1 and approximate MMS allocations for submodular valuations
Uriel Feige, Assaf Fine
There are two common classes of fairness notions that are considered when allocating indivisible items to agents of equal entitlements. One is that of share-based fairness…
On MMS, APS and XOS
Uriel Feige, Vadim Grinberg
We consider allocations of a set of indivisible goods to agents of equal entitlements that have valuations from the class XOS. A previous sequence of works showed allocatio…
Truthful-in-Expectation Mechanisms for MMS Approximation
Moshe Babaioff, Uriel Feige, Noam Manaker Morag
We study fair allocation of indivisible goods among strategic agents with additive valuations. Motivated by impossibility results for deterministic truthful mechanisms, we focus on…
The residual maximin share
Uriel Feige
We consider fair allocations of indivisible goods to agents with general monotone valuations. We observe that it is useful to introduce a new share-based fairness notion, the {\em…
From multi-allocations to allocations, with subadditive valuations
Uriel Feige
We consider the problem of fair allocation of indivisible items to agents with monotone subadditive valuations. For integer , a -multi-allocation is an allocati…
Fair allocations with subadditive and XOS valuations
Uriel Feige, Vadim Grinberg
We consider the problem of fair allocation of indivisible goods to agents with either subadditive or XOS valuations, in the arbitrary entitlement case. As fairness notions,…
Concentration and maximin fair allocations for subadditive valuations
Uriel Feige, Shengyu Huang
We consider fair allocation of indivisible items to agents of equal entitlements, with submodular valuation functions. Previously, Seddighin and Seddighin [{\em Artificial…
Low communication protocols for fair allocation of indivisible goods
Uriel Feige
We study the multi-party randomized communication complexity of computing a fair allocation of indivisible goods to equally entitled agents. We first consider MMS alloc…
Share-Based Fairness for Arbitrary Entitlements
Moshe Babaioff, Uriel Feige
We consider the problem of fair allocation of indivisible items to agents that have arbitrary entitlements to the items. Every agent has a valuation function and an entit…
The inversion paradox, and classification of fairness notions
Uriel Feige
Several different fairness notions have been introduced in the context of fair allocation of goods. In this manuscript, we compare between some fairness notions that are used in se…