000 03562nam a22005175i 4500
001 978-3-642-02946-2
003 DE-He213
005 20140220084524.0
007 cr nn 008mamaa
008 100301s2010 gw | s |||| 0|eng d
020 _a9783642029462
_9978-3-642-02946-2
024 7 _a10.1007/978-3-642-02946-2
_2doi
050 4 _aHG1-9999
072 7 _aKCBM
_2bicssc
072 7 _aKCLF
_2bicssc
072 7 _aBUS027000
_2bisacsh
082 0 4 _a332
_223
100 1 _aSaichev, Alex.
_eauthor.
245 1 0 _aTheory of Zipf's Law and Beyond
_h[electronic resource] /
_cby Alex Saichev, Yannick Malevergne, Didier Sornette.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aXII, 171p. 44 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Economics and Mathematical Systems,
_x0075-8442 ;
_v632
505 0 _aContinuous Gibrat’s Law and Gabaix’s Derivation of Zipf’s Law -- Flow of Firm Creation -- Useful Properties of Realizations of the Geometric Brownian Motion -- Exit or “Death” of Firms -- Deviations from Gibrat’s Law and Implications for Generalized Zipf’s Laws -- Firm’s Sudden Deaths -- Non-stationary Mean Birth Rate -- Properties of the Realization Dependent Distribution of Firm Sizes -- Future Directions and Conclusions.
520 _aZipf'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.
650 0 _aEconomics.
650 0 _aDistribution (Probability theory).
650 0 _aEconomics, Mathematical.
650 0 _aFinance.
650 1 4 _aEconomics/Management Science.
650 2 4 _aFinancial Economics.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aGame Theory/Mathematical Methods.
700 1 _aMalevergne, Yannick.
_eauthor.
700 1 _aSornette, Didier.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642029455
830 0 _aLecture Notes in Economics and Mathematical Systems,
_x0075-8442 ;
_v632
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-02946-2
912 _aZDB-2-SBE
999 _c111453
_d111453