Open AccessNote—A Delegation Process for Combining Individual Utility Functions
Author(s) -
Samuel E. Bodily
Publication year - 1979
Publication title -
management science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 4.954
H-Index - 255
eISSN - 1526-5501
pISSN - 0025-1909
DOI - 10.1287/mnsc.25.10.1035
Subject(s) - delegation , set (abstract data type) , mathematical optimization , pareto principle , process (computing) , pareto optimal , computer science , markov chain , mathematics , mathematical economics , multi objective optimization , economics , machine learning , management , programming language , operating system
A delegation process is proposed for setting the weights when a weighted sum of individual utility functions is used to make group decisions. Conditions under which a unique set of weights exist and methods for calculating these weights are obtained using the theory of Markov chains. It is shown that the Pareto optimal set at each step of delegation is a subset of the Pareto optimal set at the previous step.games/group decisions: teams, games/group decisions: voting/committees