Social choice theory: An introductory text
- Singapore; Springer 2022
- xvii, 200
𝐓𝐚𝐛𝐥𝐞 𝐨𝐟 𝐜𝐨𝐧𝐭𝐞𝐧𝐭𝐬 (𝟏𝟎 𝐜𝐡𝐚𝐩𝐭𝐞𝐫𝐬)
Introduction Satish Kumar Jain Pages 1-7 Elementary Logic Satish Kumar Jain Pages 9-33 Sets, Relations, Functions Satish Kumar Jain Pages 35-46 Binary Relations Satish Kumar Jain Pages 47-60 Social Choice Theoretic Framework and Arrow Impossibility Theorem Satish Kumar Jain Pages 61-75 Some Important Value-Judgments, Rules and Theorems Satish Kumar Jain Pages 77-94 Implications of Weakening of Some of Arrow Conditions Satish Kumar Jain Pages 95-102 The Method of Majority Decision: Conditions for Transitivity and Quasi-Transitivity Satish Kumar Jain Pages 103-129 Strategic Aspects Satish Kumar Jain Pages 131-150 Summary and Concluding Remarks Satish Kumar Jain Pages 151-154 Back Matter Pages 155-200
This introductory textbook on social choice theory makes the social choice theoretic framework and its main results, that have a direct bearing on the discourses on electoral rules and policy evaluation, accessible to a larger audience. The text is essentially self-contained. No previous knowledge of mathematical logic or relational algebra is assumed. Whatever technical prerequisites are needed, are developed in the text itself. Although the text is at an introductory level, there has been no compromise on rigor. Unlike most introductory books, the relevant proofs are not omitted; rather, they have been explained in detail. The text has a large number of examples so that the concepts and results become clear to the reader. There is a large number of exercises with full solutions provided at the end of the text, so that the reader can check her/his understanding of the material.