@misc{10481/75117,
year = {2022},
month = {4},
url = {http://hdl.handle.net/10481/75117},
abstract = {In this paper we study how to assess the performance of a group of individuals according to their achievements in several attributes or categories by means of a scoring system. Such an assessment is the composition of two steps. First, each individual obtains a partial score in each category (that may potentially depend on her opponents’ performance). And second, those partial scores are combined into a global assessment. The partial score in each attribute is upper bounded by an exogenous threshold or cap. Each problem is determined by four elements: a set of agents (or tenders), a set of attributes to be evaluated, a matrix of achievements that specified the score each agent has obtained in each attribute, and a vector of caps. By means of the axiomatic methodology, we identify the families of assessment functions that satisfy some natural requirements ( anonymity, continuity, monotonicity, null contribution, additivity , and separability ). Our findings state that these families are weighted averages of the attribute assessments. Finally, as an illustration, we analyze a public tender whose purpose was to carry out an accounts auditing of a public company. As a practical implication of our theoretical results, we show that truncation presents significant advantages with respect to other methods. Particularly, it avoids the exclusion paradox.},
organization = {MCIN/AEI	PID2020-114309GB-I00},
organization = {ERDF A way of making Europe/EU	PID2020-114309GB-I00},
organization = {Junta de Andalucia	P18-FR-2933},
organization = {FEDER UGR A-SEJ-14-UGR20},
organization = {PAIDI SEJ660},
organization = {R&D&I project - MCIN/AEI	PGC2018-097965-B-I00
R&D&I project - ERDF A way of making Europe/EU	PGC2018-097965-B-I00},
organization = {Generalitat Valenciana},
organization = {European Commission},
organization = {General Electric	PROMETEO/2021/063},
publisher = {Elsevier},
keywords = {Public procurement},
keywords = {Tender},
keywords = {Assessment},
keywords = {Scoring},
keywords = {Cap},
keywords = {Weighted average},
keywords = {Truncation},
keywords = {Proportionality},
title = {Assessments in public procurement procedures},
doi = {10.1016/j.omega.2022.102660},
author = {Martínez Rico, Ricardo and Sánchez Soriano, Joaquín and Llorca, Natividad},
}