Incomplete paired comparisons in case of multiple choice and general log-concave probability density functions

Éva Orbán-Mihálykó (), Csaba Mihálykó () and László Koltay ()
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Éva Orbán-Mihálykó: University of Pannonia
Csaba Mihálykó: University of Pannonia
László Koltay: University of Pannonia

Central European Journal of Operations Research, 2019, vol. 27, issue 2, No 15, 515-532

Abstract: Abstract A scoring method based on paired comparison allowing multiple choice is investigated. We allow general log-concave probability density functions for the random variables describing the difference of the objects. This case involves Bradley–Terry models and Thurstone models as well. A sufficient condition is proved for the existence and uniqueness of the maximum likelihood estimation of the parameters in case of incomplete comparisons. The axiomatic properties of the method are also investigated.

Keywords: Paired comparison; Multiple options; Maximum likelihood estimation; Strictly log-concave probability density function; Axiomatic properties (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s10100-018-0568-1

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