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Permanent link (DOI): https://doi.org/10.7939/R3F107

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Analysis Of A K-Producer Problem Using The Monopolist's Problem Framework Open Access

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Other title
Subject/Keyword
K-Producer Problem
Partial Exclusion
Monopolist's Problem
Type of item
Thesis
Degree grantor
University of Alberta
Author or creator
Samaratunga,Suren
Supervisor and department
Pass,Brendan ( Mathematical and Statistical Sciences)
Examining committee member and department
Choulli,Tahir ( Mathematical and Statistical Sciences)
Yu,Xinwei ( Mathematical and Statistical Sciences)
Li,Michael Y. ( Mathematical and Statistical Sciences)
Department
Department of Mathematical and Statistical Sciences
Specialization
Applied Mathematics
Date accepted
2013-08-30T14:55:49Z
Graduation date
2013-11
Degree
Master of Science
Degree level
Master's
Abstract
We introduce and study a k-producer problem which is an extension of the monopolist's problem in economic theory. This models a market with several different monopolist's producing complementary goods. We show that the problem of finding an equilibrium in the k-producer problem can be transformed into a system of k monopolist's problems with effective preference functions derived from the original preference function. We find sufficient conditions on the preference function so that the effective preference functions satisfy the generalized single crossing (GSC) property. Analytical and numerical results are discussed for the uni-dimensional case, as well as the economic properties of the model.
Language
English
DOI
doi:10.7939/R3F107
Rights
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
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File title: Introduction
File title: Analysis of a k-producer problem using the Monopolist's problem framework
File author: Suren Samaratunga
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