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

Abstract : 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.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [11 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01420707
Contributor : Guillaume Carlier <>
Submitted on : Tuesday, December 20, 2016 - 10:18:48 PM
Last modification on : Thursday, May 17, 2018 - 10:30:02 AM
Long-term archiving on : Tuesday, March 21, 2017 - 5:08:59 AM

File

GC_LM_bilevelELSEv4.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01420707, version 1

Collections

Citation

Guillaume Carlier, Lina Mallozzi. Optimal monopoly pricing with congestion and random utility via partial mass transport. 2016. ⟨hal-01420707⟩

Share

Metrics

Record views

402

Files downloads

333