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Stability of utility functions and apportionment rules in location models

H. A. Eiselt () and Vladimir Marianov ()
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H. A. Eiselt: University of New Brunswick
Vladimir Marianov: Instituto Sistemas Complejos de Ingeniería (ISCI), Pontificia Universidad Católica de Chile

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2020, vol. 28, issue 3, No 12, 772-792

Abstract: Abstract This paper investigates how demand is apportioned to facilities by customers, given that they apply one of a number of utility functions according to which they satisfy their demand at the facilities. After delineating the basic decision-making process, a number of reasonable assumptions are formulated regarding the behavior of the utility functions after a scaling of their different parameters. The individual apportionment rules are examined so as to whether or not they satisfy these assumptions. The results are of importance for decision-makers that must use these utility functions when facing locational decisions.

Keywords: Competitive location; Market share; Customers' preferences; Apportionment rules analysis; 90B80; 91B42 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s11750-020-00569-8

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