Advanced mathematical economics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Routledge
2005
|
| Edition: | 1. publ. |
| Series: | Routledge advanced texts in economics and finance
3 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | X, 194 S. graph. Darst. |
| ISBN: | 0415700086 0415700078 |
Staff View
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| 100 | 1 | |a Vohra, Rakesh V. |d 1959- |e Verfasser |0 (DE-588)170450864 |4 aut | |
| 245 | 1 | 0 | |a Advanced mathematical economics |c Rakesh V. Vohra |
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| 500 | |a Includes bibliographical references and index | ||
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| 650 | 4 | |a Mathématiques économiques | |
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Record in the Search Index
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| adam_text | CONTENTS PREFACE VIII 1 THINGS TO KNOW 1 1.1 SETS 1 1.2 THE SPACE WE
WORK IN 1 1.3 FACTS FROM REAL ANALYSIS 2 1.4 FACTS FROM LINEAR ALGEBRA 6
1.5 FACTS FROM GRAPH THEORY 9 2 FEASIBILITY 13 2.1 FUNDAMENTAL THEOREM
OF LINEAR ALGEBRA 13 2.2 LINEAR INEQUALITIES 15 2.3 NON-NEGATIVE
SOLUTIONS 15 2.4 THE GENERAL CASE 19 2.5 APPLICATION: ARBITRAGE 20 2.6
APPLICATION: CO-OPERATIVE GAMES 24 2.7 APPLICATION: AUCTIONS 25 3 CONVEX
SETS 33 3.1 SEPARATING HYPERPLANE THEOREM 34 3.2 POLYHEDRONS AND
POLYTOPES 40 3.3 DIMENSION OF A SET 46 3.4 PROPERTIES OF CONVEX SETS 47
3.5 APPLICATION: LINEAR PRODUCTION MODEL 49 4 LINEAR PROGRAMMING 53 4.1
BASIC SOLUTIONS 56 4.2 DUALITY 60 VI CONTENTS 4.3 WRITING DOWN THE DUAL
64 4.4 INTERPRETING THE DUAL 64 4.5 MARGINAL VALUE THEOREM 68 4.6
APPLICATION: ZERO-SUM GAMES 69 4.7 APPLICATION: AFRIAT S THEOREM 72 4.8
INTEGER PROGRAMMING 75 4.9 APPLICATION: EFFICIENT ASSIGNMENT 78 4.10
APPLICATION: ARROW S THEOREM 80 5 NON-LINEAR PROGRAMMING 87 5. /
NECESSARY CONDITIONS FOR LOCAL OPTIMALITY 89 5.2 SUFFICIENT CONDITIONS
FOR OPTIMALITY 95 5.3 ENVELOPE THEOREM 100 5.4 AN ASIDE ON UTILITY
FUNCTIONS 103 5.5 APPLICATION: MARKET GAMES 105 5.6 APPLICATION:
PRINCIPAL-AGENT PROBLEM 109 6 FIXED POINTS 117 6.1 BANACH FIXED POINT
THEOREM 117 6.2 BROUWER FIXED POINT THEOREM 118 6.3 APPLICATION: NASH
EQUILIBRIUM 125 6.4 APPLICATION: EQUILIBRIUM IN EXCHANGE ECONOMIES 127
6.5 APPLICATION: HEX 133 6.6 KAKUTANI S FIXED POINT THEOREM 136 1
LATTICES AND SUPERMODULARIFY 142 7.1 ABSTRACT LATTICES 149 7.2
APPLICATION: SUPERMODULAR GAMES 151 7.3 APPLICATION: TRANSPORTATION
PROBLEM 152 7.4 APPLICATION: EFFICIENT ASSIGNMENT AND THE CORE 154 7.5
APPLICATION: STABLE MATCHINGS 159 8 MATROIDS 163 8.1 INTRODUCTION 163
8.2 MATROID OPTIMIZATION 165 8.3 RANK FUNCTIONS 166 8.4 DELETION AND
CONTRACTION 169 CONTENTS VII 8.5 MATROID INTERSECTION AND PARTITIONING
170 8.6 POLYMATROIDS 175 8. 7 APPLICATION: EFFICIENT ALLOCATION WITH
INDIVISIBILITIES 179 8.8 APPLICATION: SHANNON SWITCHING GAME 186 INDEX
191
|
| any_adam_object | 1 |
| author | Vohra, Rakesh V. 1959- |
| author_GND | (DE-588)170450864 |
| author_facet | Vohra, Rakesh V. 1959- |
| author_role | aut |
| author_sort | Vohra, Rakesh V. 1959- |
| author_variant | r v v rv rvv |
| building | Verbundindex |
| bvnumber | BV019815916 |
| callnumber-first | H - Social Science |
| callnumber-label | HB135 |
| callnumber-raw | HB135 HB135.V636 2004 |
| callnumber-search | HB135 HB135.V636 2004 |
| callnumber-sort | HB 3135 |
| callnumber-subject | HB - Economic Theory and Demography |
| classification_rvk | QH 100 QH 231 QH 420 QH 421 |
| classification_tum | MAT 902f MAT 910f |
| ctrlnum | (OCoLC)55517935 (DE-599)BVBBV019815916 |
| dewey-full | 330/.01/51322 330/.01/513 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 330 - Economics |
| dewey-raw | 330/.01/513 22 330/.01/513 |
| dewey-search | 330/.01/513 22 330/.01/513 |
| dewey-sort | 3330 11 3513 222 |
| dewey-tens | 330 - Economics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV019815916 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T20:06:47Z |
| institution | BVB |
| isbn | 0415700086 0415700078 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013141256 |
| oclc_num | 55517935 |
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| owner_facet | DE-703 DE-91G DE-BY-TUM DE-473 DE-BY-UBG DE-521 DE-11 DE-188 DE-2070s |
| physical | X, 194 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Routledge |
| record_format | marc |
| series | Routledge advanced texts in economics and finance |
| series2 | Routledge advanced texts in economics and finance |
| spelling | Vohra, Rakesh V. 1959- Verfasser (DE-588)170450864 aut Advanced mathematical economics Rakesh V. Vohra 1. publ. London [u.a.] Routledge 2005 X, 194 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Routledge advanced texts in economics and finance 3 Includes bibliographical references and index Economia matemática larpcal Mathématiques économiques Programmation (Mathématiques) Wiskundige economie gtt aEconomics, Mathematical aProgramming (Mathematics) Wirtschaftstheorie (DE-588)4079351-5 gnd rswk-swf Wirtschaftsmathematik (DE-588)4066472-7 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf Optimierung (DE-588)4043664-0 s Wirtschaftsmathematik (DE-588)4066472-7 s DE-604 Wirtschaftstheorie (DE-588)4079351-5 s DE-188 Routledge advanced texts in economics and finance 3 (DE-604)BV037241432 3 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013141256&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Vohra, Rakesh V. 1959- Advanced mathematical economics Routledge advanced texts in economics and finance Economia matemática larpcal Mathématiques économiques Programmation (Mathématiques) Wiskundige economie gtt aEconomics, Mathematical aProgramming (Mathematics) Wirtschaftstheorie (DE-588)4079351-5 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd Optimierung (DE-588)4043664-0 gnd |
| subject_GND | (DE-588)4079351-5 (DE-588)4066472-7 (DE-588)4043664-0 |
| title | Advanced mathematical economics |
| title_auth | Advanced mathematical economics |
| title_exact_search | Advanced mathematical economics |
| title_full | Advanced mathematical economics Rakesh V. Vohra |
| title_fullStr | Advanced mathematical economics Rakesh V. Vohra |
| title_full_unstemmed | Advanced mathematical economics Rakesh V. Vohra |
| title_short | Advanced mathematical economics |
| title_sort | advanced mathematical economics |
| topic | Economia matemática larpcal Mathématiques économiques Programmation (Mathématiques) Wiskundige economie gtt aEconomics, Mathematical aProgramming (Mathematics) Wirtschaftstheorie (DE-588)4079351-5 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd Optimierung (DE-588)4043664-0 gnd |
| topic_facet | Economia matemática Mathématiques économiques Programmation (Mathématiques) Wiskundige economie aEconomics, Mathematical aProgramming (Mathematics) Wirtschaftstheorie Wirtschaftsmathematik Optimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013141256&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV037241432 |
| work_keys_str_mv | AT vohrarakeshv advancedmathematicaleconomics |