000			03515nam a22004935i 4500
001			u373489
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005			20160812084148.0
007			cr nn 008mamaa
008			100301s2010 gw | s |||| 0|eng d
020			_a9783642029462 _9978-3-642-02946-2
040			_cMX-MeUAM
050		4	_aHG1-9999
082	0	4	_a332 _223
100	1		_aSaichev, Alex. _eauthor.
245	1	0	_aTheory of Zipf's Law and Beyond _h[recurso electrónico] / _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	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-02946-2
596			_a19
942			_cLIBRO_ELEC
999			_c201369 _d201369