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Social choice theory: An introductory text

By: Material type: TextTextPublication details: Singapore; Springer 2022Description: xvii, 200ISBN:
  • 9789811696602
Subject(s): Online resources: Summary: 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.
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Item type Current library Call number Status Barcode
Books Books Dr VKRV Rao Library 338.521 JAI (Browse shelf(Opens below)) Available G15304

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.

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