'q-PARETO-SCALAR' TWO-STAGE EXTREMIZATION MODEL AND ITS REDUCIBILITY TO ONE-STAGE MODEL
THEORY AND DECISION, vol.65, no.4, pp.325-338, 2008 (SSCI, Scopus)
- Publication Type: Article / Article
- Volume: 65 Issue: 4
- Publication Date: 2008
- Doi Number: 10.1007/s11238-007-9084-9
- Journal Name: THEORY AND DECISION
- Journal Indexes: Social Sciences Citation Index (SSCI), Scopus
- Page Numbers: pp.325-338
- Keywords: q-Pareto rule, Sequential choice models, Two-stage choice model, Criterial extremization, Reducibility
- Ankara University Affiliated: Yes
Abstract
A two-stage sequential choice model is studied, the first stage being defined by q-Pareto multicriterial choice rule, and the second stage being defined by scalar extremization model. In this model, at the first stage the q-Pareto rule choses alternatives which are not only undominated in terms of Pareto comparison, but also includes into choice the alternatives which are dominated by no more than q alternatives. Since the choice set of the first-stage usually contains too many elements, obtained set is used as a presentation for the second stage constructed by a scalar extremization model. The properties of the model are studied as well as its representability to one-stage scalar extremization model.