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Staff Publications

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    'Staff publications' is the digital repository of Wageningen University & Research

    'Staff publications' contains references to publications authored by Wageningen University staff from 1976 onward.

    Publications authored by the staff of the Research Institutes are available from 1995 onwards.

    Full text documents are added when available. The database is updated daily and currently holds about 240,000 items, of which 72,000 in open access.

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Record number 357247
Title Methods for computing Nash equilibria of a location quantity game, Submitted to Operations Research
Author(s) Sáiz Pérez, M.E.; Hendrix, E.M.T.
Source Wageningen : Mansholt Graduate School (Working paper / Mansholt Graduate School : Discussion paper ) - 26
Department(s) Operations Research and Logistics
Publication type Scientific report
Publication year 2006
Keyword(s) operationeel onderzoek - firma's - besluitvorming - optimalisatie - algoritmen - locatietheorie - markten - kosten - evenwicht - evenwichtstheorie - operations research - firms - decision making - optimization - algorithms - location theory - markets - costs - equilibrium - equilibrium theory
Categories Operations Research
Abstract A two stage model is described where firms take decisions on where to locate their facility and on how much to supply to which market. In such models in literature, typically the market price reacts linearly on supply. Often two competing suppliers are assumed or several that are homogeneous, i.e. their cost structure is assumed to be identical. The focus of this paper is on developing methods to compute equilibria of the model where more than two suppliers are competing that each have their own cost structure, i.e. they are heterogeneous. Analytical results are presented with respect to optimality conditions for the Nash equilibria in the two stages. Based on these analytical results, algorithms are developed to find equilibria. Numerical cases are used to illustrate the results and the viability of the algorithms. The method finds an improvement of a result reported in literature.
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