Bitte verwenden Sie diesen Link, um diese Publikation zu zitieren, oder auf sie als Internetquelle zu verweisen: https://hdl.handle.net/10419/246363 
Erscheinungsjahr: 
2018
Quellenangabe: 
[Journal:] Operations Research Perspectives [ISSN:] 2214-7160 [Volume:] 5 [Publisher:] Elsevier [Place:] Amsterdam [Year:] 2018 [Pages:] 169-173
Verlag: 
Elsevier, Amsterdam
Zusammenfassung: 
We study the existence and uniqueness of equilibria for perfectly competitive markets in capacitated transport networks. The model under consideration is rather general so that it captures basic aspects of related models in, e.g., gas or electricity networks. We formulate the market equilibrium model as a mixed complementarity problem and show the equivalence to a welfare maximization problem. Using the latter we prove uniqueness of the resulting equilibrium for piecewise linear and symmetric transport costs under additional mild assumptions. Moreover, we show the necessity of these assumptions by illustrating examples that possess multiple solutions if our assumptions are violated.
Schlagwörter: 
Market equilibria
Networks
Transport costs
Uniqueness
Perfect competition
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