Comparative statics for size-dependent discounts in matching markets

David Delacrétaz; Scott Duke Kominers; Alexandru Nichifor

doi:10.1016/j.jmateco.2020.05.010

Comparative statics for size-dependent discounts in matching markets

David Delacrétaz
, Scott Duke Kominers
, Alexandru Nichifor^*

^*Corresponding author for this work

Economics

Harvard Business School
Harvard University
NBER
University of Melbourne

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a natural comparative static for many-to-many matching markets in which agents’ choice functions exhibit size-dependent discounts: reducing the extent to which some agent discounts additional partners leads to improved outcomes for the agents on the other side of the market, and worsened outcomes for the agents on the same side of the market. Our argument draws upon recently developed methods bringing tools from choice theory into matching.

Original language	English
Pages (from-to)	127-131
Number of pages	5
Journal	Journal of Mathematical Economics
Volume	90
DOIs	https://doi.org/10.1016/j.jmateco.2020.05.010
Publication status	Published - Oct 2020

Keywords

Many-to-many matching
Path-independence
Respect for improvements
Size-dependent discounts

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10.1016/j.jmateco.2020.05.010

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title = "Comparative statics for size-dependent discounts in matching markets",

abstract = "We prove a natural comparative static for many-to-many matching markets in which agents{\textquoteright} choice functions exhibit size-dependent discounts: reducing the extent to which some agent discounts additional partners leads to improved outcomes for the agents on the other side of the market, and worsened outcomes for the agents on the same side of the market. Our argument draws upon recently developed methods bringing tools from choice theory into matching.",

keywords = "Many-to-many matching, Path-independence, Respect for improvements, Size-dependent discounts",

author = "David Delacr{\'e}taz and Kominers, \{Scott Duke\} and Alexandru Nichifor",

note = "Funding Information: Delacr{\'e}taz is grateful for the support of the University of Melbourne (a Visiting Research Scholar Award).Kominers is grateful for the support of the National Science Foundation (grant SES-1459912), the Harvard Center of Mathematical Sciences and Applications (the Ng Fund and the Mathematics in Economics Research Fund), and the University of Melbourne (the Centre for Market Design and an Eminent Research Scholar Award).Nichifor is grateful for the support of the Australian Research Council (Discovery Early Career Research Award DE170101183). Publisher Copyright: {\textcopyright} 2020",

year = "2020",

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doi = "10.1016/j.jmateco.2020.05.010",

language = "English",

volume = "90",

pages = "127--131",

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AU - Kominers, Scott Duke

AU - Nichifor, Alexandru

N1 - Funding Information: Delacrétaz is grateful for the support of the University of Melbourne (a Visiting Research Scholar Award).Kominers is grateful for the support of the National Science Foundation (grant SES-1459912), the Harvard Center of Mathematical Sciences and Applications (the Ng Fund and the Mathematics in Economics Research Fund), and the University of Melbourne (the Centre for Market Design and an Eminent Research Scholar Award).Nichifor is grateful for the support of the Australian Research Council (Discovery Early Career Research Award DE170101183). Publisher Copyright: © 2020

PY - 2020/10

Y1 - 2020/10

N2 - We prove a natural comparative static for many-to-many matching markets in which agents’ choice functions exhibit size-dependent discounts: reducing the extent to which some agent discounts additional partners leads to improved outcomes for the agents on the other side of the market, and worsened outcomes for the agents on the same side of the market. Our argument draws upon recently developed methods bringing tools from choice theory into matching.

AB - We prove a natural comparative static for many-to-many matching markets in which agents’ choice functions exhibit size-dependent discounts: reducing the extent to which some agent discounts additional partners leads to improved outcomes for the agents on the other side of the market, and worsened outcomes for the agents on the same side of the market. Our argument draws upon recently developed methods bringing tools from choice theory into matching.

KW - Many-to-many matching

KW - Path-independence

KW - Respect for improvements

KW - Size-dependent discounts

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VL - 90

SP - 127

EP - 131

JO - Journal of Mathematical Economics

JF - Journal of Mathematical Economics

ER -

Comparative statics for size-dependent discounts in matching markets

Abstract

Keywords

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