000 03042nam a22004815i 4500
001 978-3-540-27313-4
003 DE-He213
005 20160302161624.0
007 cr nn 008mamaa
008 100301s2005 gw | s |||| 0|eng d
020 _a9783540273134
_9978-3-540-27313-4
024 7 _a10.1007/b138910
_2doi
050 4 _aHB1-846.8
072 7 _aKCA
_2bicssc
072 7 _aBUS069030
_2bisacsh
082 0 4 _a330.1
_223
100 1 _aBasov, Suren.
_eauthor.
245 1 0 _aMultidimensional Screening
_h[electronic resource] /
_cby Suren Basov.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2005.
300 _aXIV, 202 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aStudies in Economic Theory,
_x1431-8849 ;
_v22
505 0 _aMathematical Preliminaries -- Vector Calculus -- Partial Differential Equations -- Theory of Generalized Convexity -- Calculus of Variations and the Optimal Control -- Miscellaneous Techniques -- Economics of Multidimensional Screening -- The Unidimensional Screening Model -- The Multidimensional Screening Model -- Beyond the Quasilinear Case -- Existence, Uniqueness, and Continuity of the Solution -- Conclusions -- References.
520 _aThe book brings into a focus all necessary mathematical knowledge necessary to understand the economics of multidimensional results screening and applies them straightaway to economic models. The first part of this book contains a review of vector calculus, the theory of partial differential equations, and the theory of generalized convexity. These techniques are extensively used in multidimensional screening models. Part II is devoted to the economics of sceening models. It starts with a detailed discussion of economics and mathematics of unidimensional screening problems and three approaches to their solution: direct, dual, and Hamiltonian. It uses the Hamiltonian approach to unify all known results, which were previously obtained using different arguments. Then the major difficulties with direct and dual approach in the multidimensional context are discussed and the Hamiltonian approach is used to provide the most complete characterization of the solution known in the literature. .
650 0 _aGame theory.
650 0 _aStatistical physics.
650 0 _aDynamical systems.
650 0 _aEconomic theory.
650 1 4 _aEconomics.
650 2 4 _aEconomic Theory/Quantitative Economics/Mathematical Methods.
650 2 4 _aGame Theory, Economics, Social and Behav. Sciences.
650 2 4 _aStatistical Physics, Dynamical Systems and Complexity.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540239062
830 0 _aStudies in Economic Theory,
_x1431-8849 ;
_v22
856 4 0 _uhttp://dx.doi.org/10.1007/b138910
912 _aZDB-2-SBE
999 _c173928
_d173928