Using Quasiarithmetic Means in a Sequential Decision Procedure

We study in this paper the following sequential decision procedure. First, the members of a group show their opinions on all the members, regarding a specific attribute. Taking into account this information, quasiarithmetic means and a family of thresholds, a subgroup of individuals is selected: those members whose collective assessments (obtained through a quasiarithmetic mean) reach a specific threshold. After that, only the assessments of this qualified subgroup are taken into account emerging a new subgroup with the aggregation phase. We analyze when this recursive procedure converges providing a final subgroup of qualified members.

• Type: Conference
• Year: 2007
• Where: EUSFLAT
• Authors: Miguel A. Ballester, José Luis García-Lapresta
• Keywords: EUSFLAT 2007, Qualified Subgroup, Quasiarithmetic Mean, Sequential Decision Procedure