Envy-free cake-cutting for four agents

A Hollender, A Rubinstein - 2023 IEEE 64th Annual Symposium …, 2023 - ieeexplore.ieee.org
In the envy-free cake-cutting problem we are given a resource, usually called a cake and
represented as the 0,1 interval, and a set of n agents with heterogeneous preferences over …

[HTML][HTML] Approximate envy-freeness in graphical cake cutting

SM Yuen, W Suksompong - Discrete Applied Mathematics, 2024 - Elsevier
We study the problem of fairly allocating a divisible resource in the form of a graph, also
known as graphical cake cutting. Unlike for the canonical interval cake, a connected envy …

Contiguous Allocation of Indivisible Items on a Path

Y Kawase, B Roy, MA Sanpui - arXiv preprint arXiv:2401.04318, 2024 - arxiv.org
We study the problem of allocating indivisible items on a path among agents. The objective
is to find a fair and efficient allocation in which each agent's bundle forms a contiguous block …

Connectedness in fair division of circle and star cakes between two agents with unequal entitlements

J Hanke, A Heggison, AR Pires - arXiv preprint arXiv:2312.12260, 2023 - arxiv.org
Austin's moving knife procedure is used to divide a cake equitably between two agents:
each agent believes that they received exactly half of the cake. This short note deals with the …