Chapter

Handbook of Utility Theory

pp 893-977

Ranking Sets of Objects

  • Salvador BarberàAffiliated withUniversitat Autònoma de Barcelona
  • , Walter BossertAffiliated withUniversité de Montréal and CIREQ
  • , Prasanta K. PattanaikAffiliated withUniversity of California at Riverside

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Abstract

This chapter focuses on criteria and methods for ranking subsets of a set of objects. There are many situations in which rankings of individual objects suffice for classification or decision making purposes, but many other situations call for rankings that involve subsets of two or more objects. The chapter identifies contexts in which subset rankings are important and discusses a number of ways in which such rankings might be obtained.