Marketing Papers

Document Type

Journal Article

Date of this Version

11-1981

Publication Source

Management Science

Volume

27

Issue

11

Start Page

1221

Last Page

1235

DOI

10.1287/mnsc.27.11.1221

Abstract

In a decision-making problem where a group will receive an uncertain payoff which must be divided among the members of the group, the ultimate payoff of interest is the vector of individual payoffs received by the members of the group. In this paper, preferences are quantified in terms of cardinal utility functions for such vectors of payoffs. These utility functions can represent preferences concerning “equitable” and “inequitable” vectors of payoffs as well as attitudes toward risk. The individual utility functions are aggregated to form a group utility function for the vector of payoffs, and this latter function is, in turn, used to generate a group utility function for the overall group payoff and a sharing rule for dividing the group payoff into individual payoffs. The resulting group decisions are Pareto optimal in utility space. Properties of the sharing rule and the group utility function are investigated for additive and multilinear group utility functions.

Copyright/Permission Statement

Originally published in Managament Science © 1981 INFORMS

This is a pre-publication version. The final version is available at http://dx.doi.org/10.1287/mnsc.27.11.1221

Keywords

group decision making, risk sharing, multiattribute utility

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Date Posted: 15 June 2018

This document has been peer reviewed.