Centralized Allocation in Multiple Markets
The problem of allocating indivisible objects to different agents, where each individual is assigned at most one object, has been widely studied. Pápai (2000) shows that the set of strategy-proof, nonbossy, Pareto optimal and reallocation-proof rules are hierarchical exchange rules | generalizations of Gale's Top Trading Cycles mechanism. We study the centralized allocation that takes place in multiple markets. For example, the assignment of multiple types of indivisible objects; or the assignment of objects in successive periods. We show that the set of strategy-proof, Pareto efficient and nonbossy rules are sequential dictatorships, a special case of Pápai's hierarchical exchange rules.
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