Date of Submission


Date of Award


Institute Name (Publisher)

Indian Statistical Institute

Document Type

Doctoral Thesis

Degree Name

Doctor of Philosophy

Subject Name

Quantitative Economics


Economic Research Unit (ERU-Kolkata)


Chakravarty, Satya Ranjan (ERU-Kolkata; ISI)

Abstract (Summary of the Work)

In many branches of economie theory, quantitative relationships play a major role. Translating actions of individuals or groups of individuals, in the various soci- etal processes of production, distribution or consumption, into measurable or quan- tifiable notions has been one of the most important problems. When we take the society as a whole, diverse economic activities of ita memhers need to be collectively presented and it has given rise to interesting aggregation problems. Economists have tried to solve these problems by constructing social index numbers. Simi- larly, quantifying actions of individual units (for example, a firm /a consumer) has brought forth the notions such as production functions and demand functions. In this presentation, we discuss some such problems and introduce a few notions of quantification. The first three essays deal with the society as a whole. There, we discusa some income distributional problems. The next two essays are concerned with individual actions. One of these deals with theories of production and the other involves the individual as a consumer.I owe debts to many and apologise for not being able to register acknowledge- ments to everyone of them. I am extremely indebted to Professor Satya Ranjan Chakravarty, who guided me through every step in the preparation of this dis- sertation. Without his kind cooperation this work could never have been com- pleted. Most of the work done here has been a joint venture with him and he has allowed me to include these in the dissertation. I feel it is impossible to express my indebtedness to him with any adequacy at all. The material presented in chapter 6 and some sections of chapter 3 are jointly done with Professor Amita Majumder. Had it not been for her, this effort would not have got the right start. I express my sincerest gratitude to her for allowing me to incorporate these joint works in my thesis. I convey my gratitude to Professor Nikhileah Bhattacharya for taking time off his busy schedule to go through some portions of the thesis and suggest- ing substantial improvements in presentation. I am grateful to Professors Dipankor Coondoo and Peter Lambert for their invaluable suggestions and comments on some parts of thin work. To Ms. Tandra Rao, for her constant persuasion, encouragement and help in using word-processors, I would like to record my sincerest thanks. I have always been immensely inspired by my teachers right from my primary school days. Unable to write their names, nevertheless, I take this opportunitv to offer my deep gratitude to all of them. I have also received encouragements from many i of my intimate friends. I am especially thankful to Dr. Pradipta Bandyopadhyay for helpful discussions. My sincere thanks are due to the authorities of the Indian Statistical Institute, Calcutta, for the facilities they have provided. I also thank the authorities of the Ramakrishna Mission Vidyamandira, Belur Math for their valued cooperation in carrying out this work. Finally, in deference to our custom I must refrain from trying to express my gratitude to my parents, without whose vigilant insistence the present work would never have been completed.


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Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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