Cardinal Preference Aggregation Rules for the Case of Certainty

This paper presents a theory of cardinal social welfare functions for choices of certain consequences. This development parallels the social welfare theory for choices among risky consequences based on the assumption of social choice preferences consistent with the von Neumann-Morgenstern axioms. In the case of certainty, however, this axiomatic base is replaced with one from the theory of difference measurement. The result allows expressions of “strength of preference” to be explicitly incorporated into decision rules for social choice. Included are specifications of the independence conditions that imply additive, multiplicative, and more complicated forms of cardinal social welfare functions.

[1]  Ralph L. Keeney,et al.  Group Decision Making Using Cardinal Social Welfare Functions , 1975 .

[2]  Rakesh K. Sarin,et al.  Measurable Multiattribute Value Functions , 1979, Oper. Res..

[3]  P. Fishburn.  The Theory Of Social Choice , 1973 .

[4]  Peter C. Fishburn,et al.  Preferences, Summation, and Social Welfare Functions , 1969 .

[5]  John C. Harsanyi,et al.  Nonlinear social welfare functions , 1975 .

[6]  Peter A. Diamond,et al.  Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparison of Utility: Comment , 1967, Journal of Political Economy.

[7]  Charles R. Plott,et al.  Axiomatic Social Choice Theory: An Overview and Interpretation , 1976 .

[8]  G. Debreu.  Topological Methods in Cardinal Utility Theory , 1959 .

[9]  Patrick Suppes,et al.  Basic measurement theory , 1962 .

[10]  D. Ellsberg.  Classic and Current Notions of “Measurable Utility” , 1954 .

[11]  Martin Shubik,et al.  Game Theory in Economics: Chapter 4, Preferences and Utility , 1974 .

[12]  Peter C. Fishburn,et al.  Utility theory for decision making , 1970 .

[13]  R. F. Miles,et al.  Trajectory selection for the Mariner Jupiter/Saturn 1977 project , 1974 .

[14]  J. Harsanyi.  Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility , 1955 .

[15]  M. Fleming,et al.  A Cardinal Concept of Welfare , 1952 .

[16]  James S. Dyer,et al.  An Actual Application of Collective Choice Theory to the Selection of Trajectories for the Mariner Jupiter/Saturn 1977 Project , 1976, Oper. Res..

[17]  K. Arrow.  Social Choice and Individual Values , 1951 .

[18]  Eugene Galanter,et al.  Handbook of mathematical psychology: I. , 1963 .

[19]  Patrick Suppes,et al.  MATHEMATICAL METHODS IN THE SOCIAL SCIENCES, 1959 , 1960 .

[20]  A. Sen,et al.  Collective Choice and Social Welfare , 2017 .