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Theory of Zipf's Law and Beyond
Kategorie Beschreibung
036aXA-DE
037beng
077a312338163 Buchausg. u.d.T.: ‡Saičev, Aleksandr I., 1946 - 2013: Theory of Zipf's Law and beyond
087q978-3-642-02945-5
100 Saičev, Aleksandr I.
104bMalevergne, Yannick
108bSornette, Didier
331 Theory of Zipf's Law and Beyond
410 Berlin, Heidelberg
412 Springer-Verlag Berlin Heidelberg
425 2010
425a2010
433 Online-Ressource (XII, 171p. 44 illus, digital)
451 Lecture Notes in Economics and Mathematical Systems ; 632
454 Lecture notes in economics and mathematical systems
455 632
501 Includes bibliographical references and index
517 Theory of Zipf's Law and Beyond; 1 Introduction; 2 Continuous Gibrat's Law and Gabaix's Derivationof Zipf's Law; 3 Flow of Firm Creation; 4 Useful Properties of Realizations of the Geometric Brownian Motion; 5 Exit or ``Death'' of Firms; 6 Deviations from Gibrat's Lawand Implications for Generalized Zipf's Laws; 7 Firm's Sudden Deaths; 8 Non-stationary Mean Birth Rate; 9 Properties of the Realization Dependent Distribution of Firm Sizes; 10 Future Directions and Conclusions; References; Index
527 Buchausg. u.d.T.: ‡Saičev, Aleksandr I., 1946 - 2013: Theory of Zipf's Law and beyond
540aISBN 978-3-642-02946-2
700 |KCBM
700 |KCLF
700 |BUS027000
700 |KCB
700 |BUS039000
700 |*91-02
700 |91B60
700 |91B68
700 |62P20
700 |60K20
700 |60J60
700b|332
700b|339
700b|338.710151
700b|330.91732
700c|HG1-9999
700g1270820648 QP 230
750 Continuous Gibrat#x2019;s Law and Gabaix#x2019;s Derivation of Zipf#x2019;s Law -- Flow of Firm Creation -- Useful Properties of Realizations of the Geometric Brownian Motion -- Exit or #x201C;Death#x201D; of Firms -- Deviations from Gibrat#x2019;s Law and Implications for Generalized Zipf#x2019;s Laws -- Firm#x2019;s Sudden Deaths -- Non-stationary Mean Birth Rate -- Properties of the Realization Dependent Distribution of Firm Sizes -- Future Directions and Conclusions
753 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
902s 209508760 Unternehmensgröße
902s 209209372 Unternehmenswachstum
902s 210070099 Zipfsches Gesetz
907s 209209240 Unternehmensgründung
907s 209590394 Unternehmensliquidation
907s 210070099 Zipfsches Gesetz
912s 209508760 Unternehmensgröße
912s 209209372 Unternehmenswachstum
912s 210070099 Zipfsches Gesetz
917s 209209240 Unternehmensgründung
917s 209590394 Unternehmensliquidation
012 318558742
081 Saichev, Alex: Theory of Zipf's Law and Beyond
100 Springer E-Book
125aElektronischer Volltext - Campuslizenz
655e$uhttp://dx.doi.org/10.1007/978-3-642-02946-2
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