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Top trading cycles, consistency, and acyclic priorities for house allocation with existing tenants

机译:与现有租户分配房屋的主要交易周期,一致性和非循环优先级

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We study the house allocation with existing tenants model (Abdulkadiroglu and Sonmez, 1999) and consider rules that allocate houses based on priorities. We introduce a new acyclicity requirement and show that for house allocation with existing tenants a top trading cycles (TTC) rule is consistent if and only if its underlying priority structure satisfies our acyclicity condition. Next we give an alternative description of TTC rules based on ownership-adapted acyclic priorities in terms of two specific rules, YRMH-IGYT (you request my house - I get your turn) and efficient priority rules, that are applied in two steps. Moreover, even if no priority structure is a priori given, we show that a rule is a top trading cycles rule based on ownership-adapted acyclic priorities if and only if it satisfies Pareto-optimality, individual-rationality, strategy-proofness, consistency, and either reallocation-proofness or non-bossiness. (C) 2019 Elsevier Inc. All rights reserved.
机译:我们使用现有的租户模型(Abdulkadiroglu和Sonmez,1999)研究房屋分配,并考虑根据优先级分配房屋的规则。我们引入了一个新的非循环性要求,并表明对于现有租户的房屋分配,当且仅当其基础优先级结构满足我们的非循环性条件时,顶级交易周期(TTC)规则才是一致的。接下来,我们根据两个特定的规则YRTH-IGYT(您要求我的房子,轮到我来了)和有效的优先级规则,对所有权适用的非周期性优先级给出TTC规则的替代描述,这两个步骤适用于两个步骤。此外,即使没有给出优先级结构,我们也表明,只要且仅当满足帕累托最优性,个人理性,策略正确性,一致性,以及重新分配的安全性或非企业性。 (C)2019 Elsevier Inc.保留所有权利。

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