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Essays on the partnership problem

(2012)
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Abstract
Since the seminal Gale and Shapley (1962) paper, the field of matching theory has seen a lot of research on theoretical and empirical topics by economist, mathematicians and computer scientist alike. This dissertation aims to shed light on a relatively little discussed matching problem, the partnership problem, which is a very general type of matching problem that allows for a wide range of preference structures. In its current form, as it is used in this dissertation, it was first introduced by Fleiner (2010). There are two main contributions of this dissertation to the current state of the literature. First, in the second chapter, we look at an application of a partnership problem, a network formation model with a heterogeneous cost function. We show the existence of a unique stable outcome for this application and give an illustration of its relevance in predicting real life matching out- comes. Besides contributing to the matching theory literature, it also contributes to the network formation literature by introducing a cost function which allows for a high degree of heterogeneity. Second, in the third and fourth chapter, we consider known results from simpler matching problems and extend them to the partnership problem. As such, the main take away from these last two chapters is that, while the partnership problem is a more complicated problem with a much richer preference structure, structurally it is still very similar to the more simple matching problems. In essence, we are dealing with complex matching problems which have a surprisingly simple basic structure.
Keywords
Micro-economics, Matching Theory

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Citation

Please use this url to cite or link to this publication:

Chicago
Vandenbossche, Joost. 2012. “Essays on the Partnership Problem”. Ghent, Belgium: Ghent University. Faculty of Economics and Business Administration.
APA
Vandenbossche, J. (2012). Essays on the partnership problem. Ghent University. Faculty of Economics and Business Administration, Ghent, Belgium.
Vancouver
1.
Vandenbossche J. Essays on the partnership problem. [Ghent, Belgium]: Ghent University. Faculty of Economics and Business Administration; 2012.
MLA
Vandenbossche, Joost. “Essays on the Partnership Problem.” 2012 : n. pag. Print.
@phdthesis{4128800,
  abstract     = {Since the seminal Gale and Shapley (1962) paper, the field of matching theory has seen a lot of research on theoretical and empirical topics by economist, mathematicians and computer scientist alike. This dissertation aims to shed light on a relatively little discussed matching problem, the partnership problem, which is a very general type of matching problem that allows for a wide range of preference structures. In its current form, as it is used in this dissertation, it was first introduced by Fleiner (2010). There are two main contributions of this dissertation to the current state of the literature. First, in the second chapter, we look at an application of a partnership problem, a network formation model with a heterogeneous cost function. We show the existence of a unique stable outcome for this application and give an illustration of its relevance in predicting real life matching out- comes. Besides contributing to the matching theory literature, it also contributes to the network formation literature by introducing a cost function which allows for a high degree of heterogeneity. Second, in the third and fourth chapter, we consider known results from simpler matching problems and extend them to the partnership problem. As such, the main take away from these last two chapters is that, while the partnership problem is a more complicated problem with a much richer preference structure, structurally it is still very similar to the more simple matching problems. In essence, we are dealing with complex matching problems which have a surprisingly simple basic structure.},
  author       = {Vandenbossche, Joost},
  keyword      = {Micro-economics,Matching Theory},
  language     = {eng},
  pages        = {IV, 117},
  publisher    = {Ghent University. Faculty of Economics and Business Administration},
  school       = {Ghent University},
  title        = {Essays on the partnership problem},
  year         = {2012},
}