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Optimal monopoly pricing with congestion and random utility via partial mass transport

Carlier, Guillaume; Mallozzi, Lina (2016), Optimal monopoly pricing with congestion and random utility via partial mass transport, Journal of Mathematical Analysis and Applications, 457, 2, p. 1218-1231. 10.1016/j.jmaa.2017.01.003

Type
Article accepté pour publication ou publié
External document link
https://hal.archives-ouvertes.fr/hal-01420707
Date
2016-12
Journal name
Journal of Mathematical Analysis and Applications
Volume
457
Number
2
Publisher
Academic Press
Pages
1218-1231
Publication identifier
10.1016/j.jmaa.2017.01.003
Metadata
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Author(s)
Carlier, Guillaume
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Mallozzi, Lina
Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”
Abstract (EN)
We consider a bilevel optimization framework corresponding to a monopoly spatial pricing problem: the price for a set of given facilities maximizes the profit (upper level problem) taking into account that the demand is determined by consumers' cost minimization (lower level problem). In our model, both transportation costs and congestion costs are considered, and the lower level problem is solved via partial transport mass theory. The partial transport aspect of the problem comes from the fact that each consumer has the possibility to remain out of the market. We also generalize the model and our variational analysis to the stochastic case where utility involves a random term.
Subjects / Keywords
monopoly spatial pricing; partial optimal mass transport; congestion; random utility

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