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

  • Author / Creator
    Samaratunga,Suren
  • 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.

  • Subjects / Keywords
  • Graduation date
    2013-11
  • Type of Item
    Thesis
  • Degree
    Master of Science
  • DOI
    https://doi.org/10.7939/R3F107
  • License
    This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
  • Language
    English
  • Institution
    University of Alberta
  • Degree level
    Master's
  • Department
    • Department of Mathematical and Statistical Sciences
  • Specialization
    • Applied Mathematics
  • Supervisor / co-supervisor and their department(s)
    • Pass,Brendan ( Mathematical and Statistical Sciences)
  • Examining committee members and their departments
    • Choulli,Tahir ( Mathematical and Statistical Sciences)
    • Yu,Xinwei ( Mathematical and Statistical Sciences)
    • Li,Michael Y. ( Mathematical and Statistical Sciences)