Fair allocation of indivisible goods to asymmetric agents

A Farhadi, M Ghodsi, MT Hajiaghayi, S Lahaie… - Journal of Artificial …, 2019 - jair.org
We study fair allocation of indivisible goods to agents with unequal entitlements. Fair
allocation has been the subject of many studies in both divisible and indivisible settings. Our …

On existence of truthful fair cake cutting mechanisms

B Tao - Proceedings of the 23rd ACM Conference on …, 2022 - dl.acm.org
We study the fair division problem on divisible heterogeneous resources (the cake cutting
problem) with strategic agents, where each agent can manipulate his/her private valuation in …

Contiguous cake cutting: Hardness results and approximation algorithms

P Goldberg, A Hollender, W Suksompong - Journal of Artificial Intelligence …, 2020 - jair.org
We study the fair allocation of a cake, which serves as a metaphor for a divisible resource,
under the requirement that each agent should receive a contiguous piece of the cake. While …

[HTML][HTML] Mind the gap: Cake cutting with separation

E Elkind, E Segal-Halevi, W Suksompong - Artificial Intelligence, 2022 - Elsevier
We study the problem of fairly allocating a divisible resource, also known as cake cutting,
with an additional requirement that the shares that different agents receive should be …

Fair allocation of indivisible goods: Improvement

M Ghodsi, MT Hajiaghayi… - Mathematics of …, 2021 - pubsonline.informs.org
We study the problem of fair allocation for indivisible goods. We use the maximin share
paradigm introduced by Budish [Budish E (2011) The combinatorial assignment problem …

Truthful fair division without free disposal

X Bei, G Huzhang, W Suksompong - Social Choice and Welfare, 2020 - Springer
We study the problem of fairly dividing a heterogeneous resource, commonly known as cake
cutting and chore division, in the presence of strategic agents. While a number of results in …

Two's company, three's a crowd: Consensus-halving for a constant number of agents

A Deligkas, A Filos-Ratsikas, A Hollender - Proceedings of the 22nd …, 2021 - dl.acm.org
We consider the ε-Consensus-Halving problem, in which a set of heterogeneous agents aim
at dividing a continuous resource into two (not necessarily contiguous) portions that all of …

Obvious manipulations in cake-cutting

J Ortega, E Segal-Halevi - Social Choice and Welfare, 2022 - Springer
In the classical cake-cutting problem, strategy-proofness is a very costly requirement in
terms of fairness: for n= 2 it implies a dictatorial allocation, whereas for n≥ 3 it implies that …

[PDF][PDF] Fair division with minimal sharing

F Sandomirskiy, E Segal-Halevi - arxiv preprint arxiv:1908.01669, 2019 - researchgate.net
A set of objects, some goods and some bads, is to be divided fairly among agents with
different tastes, modeled by additive utility-functions. If the objects cannot be shared, so that …

Graphical cake cutting via maximin share

E Elkind, E Segal-Halevi, W Suksompong - arxiv preprint arxiv …, 2021 - arxiv.org
We study the recently introduced cake-cutting setting in which the cake is represented by an
undirected graph. This generalizes the canonical interval cake and allows for modeling the …