论文信息 - The Theorem of the Alternative in Social Choice Theory

The Theorem of the Alternative in Social Choice Theory

This paper presents two theorems for the existence of solutions for finite systems of linear inequalities and equalities and applies them to three problems in social choice theory. The primary purpose of the paper is to show how the theorems may be used in axiomatic investigations with finite systems.

Peter C. Fishburn

[1] E. W. Adams,et al. Elements of a Theory of Inexact Measurement , 1965, Philosophy of Science.

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

[3] D. Scott. Measurement structures and linear inequalities , 1964 .

[4] Yasusuke Murakami. Formal Structure of Majority Decision , 1966 .

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

[6] Kenneth O. May,et al. A Set of Independent Necessary and Sufficient Conditions for Simple Majority Decision , 1952 .

[7] A. J. Goldman. 3 . Resolution and Separation Theorems for Polyhedral Convex Sets , 1957 .