Fair division in the internet age

H Moulin - Annual Review of Economics, 2019 - annualreviews.org
Fair division, a key concern in the design of many social institutions, has for 70 years been
the subject of interdisciplinary research at the interface of mathematics, economics, and …

Ordinal efficiency, fairness, and incentives in large markets

Q Liu, M Pycia - Fairness, and Incentives in Large Markets (August …, 2016 - papers.ssrn.com
Efficiency and symmetric treatment of agents are the primary goals of resource allocation in
environments without transfers. Focusing on ordinal mecha-nisms in which no small group …

Two axiomatic approaches to the probabilistic serial mechanism

T Hashimoto, D Hirata, O Kesten, M Kurino… - Theoretical …, 2014 - Wiley Online Library
This paper studies the problem of assigning a set of indivisible objects to a set of agents
when monetary transfers are not allowed and agents reveal only ordinal preferences, but …

Some characterizations of generalized top trading cycles

A Altuntaş, W Phan, Y Tamura - Games and Economic Behavior, 2023 - Elsevier
Consider object exchange problems when each agent may be endowed with and consume
more than one object. For most domains of preferences, no rule satisfies efficiency, the …

Random assignment: redefining the serial rule

A Bogomolnaia - Journal of Economic Theory, 2015 - Elsevier
We provide a new, welfarist, interpretation of the well-known Serial rule in the random
assignment problem, strikingly different from previous attempts to define or axiomatically …

Computational social choice: The first ten years and beyond

H Aziz, F Brandt, E Elkind, P Skowron - … and Software Science: State of the …, 2019 - Springer
Computational social choice is a research area at the intersection of computer science,
mathematics, and economics that is concerned with aggregation of preferences of multiple …

A note on object allocation under lexicographic preferences

D Saban, J Sethuraman - Journal of Mathematical Economics, 2014 - Elsevier
We consider the problem of allocating m objects to n agents. Each agent has unit demand,
and has strict preferences over the objects. There are qj units of object j available and the …

Probabilistic assignment problem with multi-unit demands: A generalization of the serial rule and its characterization

EJ Heo - Journal of Mathematical Economics, 2014 - Elsevier
We study a probabilistic assignment problem when agents have multi-unit demands for
objects. We first introduce two fairness requirements to accommodate different demands …

Allocation of divisible goods under lexicographic preferences

LJ Schulman, VV Vazirani - arxiv preprint arxiv:1206.4366, 2012 - arxiv.org
We present a simple and natural non-pricing mechanism for allocating divisible goods
among strategic agents having lexicographic preferences. Our mechanism has favorable …

Manipulating the probabilistic serial rule

H Aziz, S Gaspers, S Mackenzie, N Mattei… - arxiv preprint arxiv …, 2015 - arxiv.org
The probabilistic serial (PS) rule is one of the most prominent randomized rules for the
assignment problem. It is well-known for its superior fairness and welfare properties …