Min and Maxinduced rankings: an experimental study
 Amélie Vrijdags
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The current paper is the first to report an experimental study of “Min and Maxinduced rankings” (MMIR), i.e., a family of set rankings that require preferences over sets to be induced from comparison of the best and/or worst elements within those sets. These MMIR do not perform well in predicting preferences over simple sets of monetary outcomes. In this paper, we investigate the axiomatic underpinnings of these models by means of pairwise choice experiments. From this investigation, some important conclusions can be drawn: Axioms that prevent rankings to be based on totalgoodness, as well as monotonicity conditions (ensuring that replacing a set element with a better one results in a better set) cannot be refuted. Axioms that rule out any utilization of the relative difference in the values of the outcomes and axioms that prevent rankings to be based on averagegoodness are all systematically violated. The Uniform Expected Utility (UEU) criterion seems to meet the apparent shortcomings of the MMIR. Some frequently occurring preference patterns, however, suggest that a significant portion of the participants uses neither a Min or Maxinduced ranking, nor UEU, but some other unspecified decision rule, possibly characterized by the tendency to prefer a diversification of uncertainty.
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 Title
 Min and Maxinduced rankings: an experimental study
 Journal

Theory and Decision
Volume 75, Issue 2 , pp 233266
 Cover Date
 20130801
 DOI
 10.1007/s112380129339y
 Print ISSN
 00405833
 Online ISSN
 15737187
 Publisher
 Springer US
 Additional Links
 Topics
 Keywords

 Decision making
 Set ranking
 Complete uncertainty
 Axiom tests
 Industry Sectors
 Authors

 Amélie Vrijdags ^{(1)}
 Author Affiliations

 1. Department of Data Analysis, Ghent University, Henri Dunantlaan 1, 9000, Ghent, Belgium