LEADER 04286nam 2200613 a 450 001 9910438152003321 005 20200520144314.0 010 $a4-431-54324-4 024 7 $a10.1007/978-4-431-54324-4 035 $a(CKB)2670000000372138 035 $a(EBL)1106469 035 $a(OCoLC)845339310 035 $a(SSID)ssj0000904248 035 $a(PQKBManifestationID)11545178 035 $a(PQKBTitleCode)TC0000904248 035 $a(PQKBWorkID)10920640 035 $a(PQKB)11390185 035 $a(DE-He213)978-4-431-54324-4 035 $a(MiAaPQ)EBC1106469 035 $a(PPN)170493687 035 $a(EXLCZ)992670000000372138 100 $a20130805d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aAdvances in mathematical economics$hVolume 17 /$fShigeo Kusuoka, Toru Maruyama, editors 205 $a1st ed. 2013. 210 $aTokyo $cSpringer$d2013 215 $a1 online resource (171 p.) 225 0 $aAdvances in mathematical economics,$x1866-2226 ;$vv. 17 300 $aDescription based upon print version of record. 311 $a4-431-54701-0 311 $a4-431-54323-6 320 $aIncludes bibliographical references and index. 327 $aTable of Contents; Law of large numbers and Ergodic Theorem for convex weak star compact valued Gelfand-integrable mappings; 1 Introduction; 2 Notations and Preliminaries; 3 Measurability and Conditional Expectation in the Dual Space; 4 Law of Large Numbers in a Dual Space; 5 Law of Large Numbers and Ergodic Theorem Involving Subdifferential Operators; References; Discounted optimal growth in a two-sector RSS model: a further geometric investigation; 1 Introduction; 2 The Model and Its Geometrical Antecedents; 3 The Case 1 < ? < (1/(1-d)); 3.1 The Benchmarks; 3.2 Check-Map Dynamics 327 $a3.3 The McKenzie Bifurcation3.4 The Optimal Policy Correspondence; 4 The Case (?- (1/?))(1-d) = 1; 4.1 The Benchmarks; 4.2 Check-Map Dynamics; 4.3 The McKenzie Bifurcation; 4.4 The Optimal Policy Correspondence; 5 The Case (?- 1)(1-d) = 1; 5.1 The Benchmarks; 5.2 Check-Map Dynamics; 5.3 Two Bifurcations; 5.4 The Optimal Policy Correspondence; 6 Concluding Observation; References; Gaussian K-scheme: justification for KLNV method; 1 Introduction; 2 Notation and Results; 3 Preparations; 4 Gaussian K-Scheme; 5 Approximation of SDE; 6 Approximation of Linear SDE; 7 Structure of Vector Fields 327 $a8 A Certain Class of Wiener Functionals9 Random Linear Operators; 10 Basic Lemma; 11 Commutation and Infinitesimal Difference; 12 Proof of Theorem 3; 13 Proof of Theorem 4; References; Competitive equilibria of a large exchange economy on the commodity space; 1 Introduction; 2 The Model and the Results; 2.1 Mathematical Preliminaries; 2.2 Description of the Economy; 3 Proofs of Theorems; References; Local consistency of the iterative least-squares estimator for the semiparametric binary choice model; 1 Introduction; 2 The Method; 3 Consistency; 4 Proof of Consistency 327 $a4.1 Differentiability of R4.2 Uniform Consistency of Rn; 4.3 Proof of Consistency; References; Subject Index; Instructions for Authors 330 $aA lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. 410 0$aAdvances in Mathematical Economics,$x1866-2226 ;$v17 606 $aEconomics, Mathematical 615 0$aEconomics, Mathematical. 676 $a330.0151 701 $aKusuoka$b S$g(Shigeo),$f1954-$060659 701 $aMaruyama$b Toru$0118037 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438152003321 996 $aAdvances in mathematical economics$94197838 997 $aUNINA