Open AccessTwo‐stage threshold representations
Author(s) -
Manzini Paola,
Mariotti Marco,
Tyson Christopher J.
Publication year - 2013
Publication title -
theoretical economics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 4.404
H-Index - 32
eISSN - 1555-7561
pISSN - 1933-6837
DOI - 10.3982/te1048
Subject(s) - selection (genetic algorithm) , class (philosophy) , relation (database) , decision maker , stage (stratigraphy) , computer science , mathematical economics , mathematics , mathematical optimization , operations research , artificial intelligence , data mining , biology , paleontology
We study two‐stage choice procedures in which the decision maker first preselects the alternatives whose values according to a criterion pass a menu‐dependent threshold and then maximizes a second criterion to narrow the selection further. This framework overlaps with several existing models that have various interpretations and impose various additional restrictions on behavior. We show that the general class of procedures is characterized by acyclicity of the revealed “first‐stage separation relation.”