Lecture Notes in Economics and Mathematical Systems

Theory of Zipf's Law and Beyond

Authors: Saichev, Alexander I., Malevergne, Yannick, Sornette, Didier

Free Preview

Buy this book

eBook 85,59 €
price for Spain (gross)
  • ISBN 978-3-642-02946-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-642-02945-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

Zipf's law is one of the few quantitative reproducible regularities found in economics. It states that, for most countries, the size distributions of city sizes and of firms are power laws with a specific exponent: the number of cities and of firms with sizes greater than S is inversely proportional to S. Zipf's law also holds in many other scientific fields. Most explanations start with Gibrat's law of proportional growth (also known as "preferential attachment'' in the application to network growth) but need to incorporate additional constraints and ingredients introducing deviations from it. This book presents a general theoretical derivation of Zipf's law, providing a synthesis and extension of previous approaches. The general theory is presented in the language of firm dynamics for the sake of convenience but applies to many other systems. It takes into account (i) time-varying firm creation, (ii) firm's exit resulting from both a lack of sufficient capital and sudden external shocks, (iii) the coupling between firm's birth rate and the growth of the value of the population of firms. The robustness of Zipf's law is understood from the approximate validity of a general balance condition. A classification of the mechanisms responsible for deviations from Zipf's law is also offered.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook 85,59 €
price for Spain (gross)
  • ISBN 978-3-642-02946-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-642-02945-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Loading...

Bibliographic Information

Bibliographic Information
Book Title
Theory of Zipf's Law and Beyond
Authors
Series Title
Lecture Notes in Economics and Mathematical Systems
Series Volume
632
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-02946-2
DOI
10.1007/978-3-642-02946-2
Softcover ISBN
978-3-642-02945-5
Series ISSN
0075-8442
Edition Number
1
Number of Pages
XII, 171
Number of Illustrations
44 b/w illustrations
Topics