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.
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Dietzenbacher et al. (2023) studied this question.
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