Studying job matching in a Kelso-Crawford framework, we consider arbitrary constraints imposed on sets of doctors that a hospital can hire. We characterize all constraints that preserve the substitutes condition (for all revenue functions that satisfy the substitutes condition), a critical condition on hospitals' revenue functions for well-behaved competitive equilibria. A constraint preserves the substitutes condition if and only if it is a "generalized interval constraint," which specifies the minimum and maximum numbers of hired doctors, forces some hires, and forbids others. Additionally, "generalized polyhedral constraints" are precisely those that preserve the substitutes condition for all "group separable" revenue functions.

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约束条件下的工作匹配

在凯尔索·克劳福德（Kelso-Crawford）框架下研究工作匹配，我们认为医院可以雇用的医生受到任意限制。我们描述了保留替代条件的所有约束条件（对于满足替代条件的所有收入函数），这是医院收入函数实现良好竞争均衡的关键条件。当且仅当约束条件是“通用间隔约束条件”时，约束条件才能保留替代条件，该条件指定了雇用医生的最小和最大人数，强制某些雇用人员以及禁止其他雇用人员。此外，“广义多面体约束”恰好是那些为所有“组可分离”收入函数保留替代条件的约束。