# Regularity properties of optimal transportation problems arising in hedonic pricing models

ESAIM: Control, Optimisation and Calculus of Variations (2013)

- Volume: 19, Issue: 3, page 668-678
- ISSN: 1292-8119

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topPass, Brendan. "Regularity properties of optimal transportation problems arising in hedonic pricing models." ESAIM: Control, Optimisation and Calculus of Variations 19.3 (2013): 668-678. <http://eudml.org/doc/272953>.

@article{Pass2013,

abstract = {We study a form of optimal transportation surplus functions which arise in hedonic pricing models. We derive a formula for the Ma–Trudinger–Wang curvature of these functions, yielding necessary and sufficient conditions for them to satisfy (A3w). We use this to give explicit new examples of surplus functions satisfying (A3w), of the form b(x,y) = H(x + y) where H is a convex function on ℝn. We also show that the distribution of equilibrium contracts in this hedonic pricing model is absolutely continuous with respect to Lebesgue measure, implying that buyers are fully separated by the contracts they sign, a result of potential economic interest.},

author = {Pass, Brendan},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {optimal transportation; hedonic pricing; Ma–Trudinger–Wang curvature; matching; Monge–Kantorovich; regularity of solutions; Ma-Trudinger-Wang curvature; Monge-Kantorovich},

language = {eng},

number = {3},

pages = {668-678},

publisher = {EDP-Sciences},

title = {Regularity properties of optimal transportation problems arising in hedonic pricing models},

url = {http://eudml.org/doc/272953},

volume = {19},

year = {2013},

}

TY - JOUR

AU - Pass, Brendan

TI - Regularity properties of optimal transportation problems arising in hedonic pricing models

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2013

PB - EDP-Sciences

VL - 19

IS - 3

SP - 668

EP - 678

AB - We study a form of optimal transportation surplus functions which arise in hedonic pricing models. We derive a formula for the Ma–Trudinger–Wang curvature of these functions, yielding necessary and sufficient conditions for them to satisfy (A3w). We use this to give explicit new examples of surplus functions satisfying (A3w), of the form b(x,y) = H(x + y) where H is a convex function on ℝn. We also show that the distribution of equilibrium contracts in this hedonic pricing model is absolutely continuous with respect to Lebesgue measure, implying that buyers are fully separated by the contracts they sign, a result of potential economic interest.

LA - eng

KW - optimal transportation; hedonic pricing; Ma–Trudinger–Wang curvature; matching; Monge–Kantorovich; regularity of solutions; Ma-Trudinger-Wang curvature; Monge-Kantorovich

UR - http://eudml.org/doc/272953

ER -

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