Stable and efficient reallocations when preferences are single-dipped

Imagine a group of agents, each being endowed with a share of one unit of an infinitely divisible and non-disposable commodity. Each agent has single-dipped preferences. We characterize the Pareto optimal allocations that satisfy individual rationality or coalitional rationality. In particular, we show that Pareto optimal and individually rational allocations always exist, and we provide a necessary and sufficient condition for non-emptiness of the core.& COPY; 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).