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The Preliminaries

  • Satish Kumar JainEmail author
Chapter

Abstract

This chapter contains the basic social choice of theoretic concepts, definitions and propositions that will be needed in the rest of the text. These include, among others, notion of a binary relation, important properties of binary relations, notions of social decision rule and social welfare function, important conditions on social decision rules, Arrow and Gibbard theorems and the notions of weak Latin Square and Latin Square.

References

  1. Arrow, Kenneth J. 1951. Social choice and individual values, 2nd ed., 1963. New York: Wiley.Google Scholar
  2. Gibbard, Allan. 1969. Social choice and the Arrow conditions. Discussion Paper: Department of Philosophy, University of Michigan.Google Scholar
  3. Jain, Satish K. 1985. A direct proof of Inada-Sen-Pattanaik theorem on majority rule. The Economic Studies Quarterly 36: 209–215.Google Scholar
  4. Sen, Amartya K. 1970. Collective choice and social welfare. San Francisco: Holden-Day.zbMATHGoogle Scholar
  5. Suppes, Patrick. 1957. Introduction to logic. New York: Van Nostrand.zbMATHGoogle Scholar
  6. Tarski, Alfred. 1941. Introduction to logic and to the methodology of deductive sciences. New York: Oxford University Press.zbMATHGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Formerly ProfessorJawaharlal Nehru UniversityNew DelhiIndia

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