Distance on matchings: An axiomatic approach
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Distance on matchings : An axiomatic approach. / Can, Burak; Pourpouneh, Mohsen; Storcken, Ton.
In: Theoretical Economics, Vol. 18, No. 2, 2023, p. 597-632.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Distance on matchings
T2 - An axiomatic approach
AU - Can, Burak
AU - Pourpouneh, Mohsen
AU - Storcken, Ton
N1 - Publisher Copyright: Copyright © 2023 The Authors.
PY - 2023
Y1 - 2023
N2 - Matchings in a market may have varying degrees of compromise from efficiency, fairness, and or stability. A distance function allows to quantify such concepts or the (dis)similarity between any two matchings. There are a few attempts to propose such functions; however, these are tailored for specific applications and ignore the individual preferences completely. In this paper, we construct a normative framework to quantify the difference between outcomes of market mechanisms in matching markets, while endogenizing the preferences of the individuals into the distance concept. Several conditions are introduced to capture natural and appealing behavior of such functions. We find a class of distance functions called scaled Borda distances, which is the only class of distance functions that satisfies these conditions simultaneously.
AB - Matchings in a market may have varying degrees of compromise from efficiency, fairness, and or stability. A distance function allows to quantify such concepts or the (dis)similarity between any two matchings. There are a few attempts to propose such functions; however, these are tailored for specific applications and ignore the individual preferences completely. In this paper, we construct a normative framework to quantify the difference between outcomes of market mechanisms in matching markets, while endogenizing the preferences of the individuals into the distance concept. Several conditions are introduced to capture natural and appealing behavior of such functions. We find a class of distance functions called scaled Borda distances, which is the only class of distance functions that satisfies these conditions simultaneously.
KW - C0
KW - C78
KW - D61
KW - D63
KW - distance function
KW - Matching markets
KW - metrics
U2 - 10.3982/TE4882
DO - 10.3982/TE4882
M3 - Journal article
AN - SCOPUS:85159867043
VL - 18
SP - 597
EP - 632
JO - Theoretical Economics
JF - Theoretical Economics
SN - 1555-7561
IS - 2
ER -
ID: 371558465