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Main Authors: Chen, Yajing, Jiao, Zhenhua, Zhang, Chenfeng, Zhang, Luosai
Format: Preprint
Published: 2021
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Online Access:https://arxiv.org/abs/2106.14456
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author Chen, Yajing
Jiao, Zhenhua
Zhang, Chenfeng
Zhang, Luosai
author_facet Chen, Yajing
Jiao, Zhenhua
Zhang, Chenfeng
Zhang, Luosai
contents This paper studies the housing market problem introduced by Shapley and Scarf (1974). We probe the Machiavellian frontier of the well-known top trading cycles (TTC) rule by weakening strategy-proofness and providing new characterizations for this rule. Specifically, our contribution lies in three aspects. First, we weaken the concept of strategy-proofness and introduce a new incentive notion called truncation-invariance, where the truthful preference-reporting assignment cannot be altered by any agent through misreporting a truncation of the true preference at the assignment produced by the true preference unilaterally. Second, we characterize the TTC rule by the following three groups of axioms: individual rationality, pair-efficiency, truncation-invariance; individual rationality, Pareto efficiency, truncation-invariance; individual rationality, endowments-swapping-proofness, truncation-invariance.1 The new characterizations refine several previous results.2 Third, we show through examples that the characterization results of Takamiya (2001) and Miyagawa (2002) can no longer be obtained if strategy-proofness is replaced with truncation-invariance.
format Preprint
id arxiv_https___arxiv_org_abs_2106_14456
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle The Machiavellian frontier of top trading cycles
Chen, Yajing
Jiao, Zhenhua
Zhang, Chenfeng
Zhang, Luosai
Theoretical Economics
This paper studies the housing market problem introduced by Shapley and Scarf (1974). We probe the Machiavellian frontier of the well-known top trading cycles (TTC) rule by weakening strategy-proofness and providing new characterizations for this rule. Specifically, our contribution lies in three aspects. First, we weaken the concept of strategy-proofness and introduce a new incentive notion called truncation-invariance, where the truthful preference-reporting assignment cannot be altered by any agent through misreporting a truncation of the true preference at the assignment produced by the true preference unilaterally. Second, we characterize the TTC rule by the following three groups of axioms: individual rationality, pair-efficiency, truncation-invariance; individual rationality, Pareto efficiency, truncation-invariance; individual rationality, endowments-swapping-proofness, truncation-invariance.1 The new characterizations refine several previous results.2 Third, we show through examples that the characterization results of Takamiya (2001) and Miyagawa (2002) can no longer be obtained if strategy-proofness is replaced with truncation-invariance.
title The Machiavellian frontier of top trading cycles
topic Theoretical Economics
url https://arxiv.org/abs/2106.14456