Advances in Mathematical Economics Volume 13 (eBook)

Shigeo Kusuoka, Toru Maruyama (Herausgeber)

eBook Download: PDF

2010 | 2010
V, 208 Seiten
Springer Tokyo (Verlag)
978-4-431-99490-9 (ISBN)

Infos

Advances in Mathematical Economics is a publication of the Research Center for Mathematical Economics, which was founded in 1997 as an international scientific association that aims to promote research activities in mathematical economics.

Our publication was launched to realize our long-term goal of bringing together those mathematicians who are seriously interested in obtaining new challenging stimuli from economic theories and those economists who are seeking effective mathematical tools for their research.

The scope of Advances in Mathematical Economics includes, but is not limited to, the following fields: - economic theories in various fields based on rigorous mathematical reasoning; - mathematical methods (e.g., analysis, algebra, geometry, probability) motivated by economic theories; - mathematical results of potential relevance to economic theory; - historical study of mathematical economics.

Authors are asked to develop their original results as fully as possible and also to give a clear-cut expository overview of the problem under discussion. Consequently, we will also invite articles which might be considered too long for publication in journals.

Inhalt

Table of Contents 6
Some various convergence results for multivalued martingales 7
1 Introduction 7
2 Preliminaries and background 8
3 Convergence results for cwk(E)-valued martingales and mils 10
4 Convergences and conditional expectationin Pettis integration 19
5 Convergence of cwk(E)-valued Pettis-integrable martingales 32
References 37
A note on Aumann's core equivalence theorem without monotonicity 40
1 Introduction 40
2 The model 42
3 The core and quasi-equilibrium allocations 43
4 Irreducible economies 44
5 Conclusion 50
References 51
On two classical turnpike results for the Robinson–Solow–Srinivasan model 52
1 Introduction 53
2 The model and antecedent results 60
3 The principal results 68
4 The heuristics of the proofs 74
5 Concluding observations 77
6 Six auxiliary propositions 78
7 Four substantive lemmata 83
8 Proofs: proof of Theorem A 94
9 Proofs: proof of Theorem B 97
References 100
A certain limit of iterated conditional tail expectation 103
1 Introduction 103
2 Associated nonlinear PDE 106
3 Proof of main results 109
References 114
Set-valued optimization in welfare economics 116
1 Introduction 117
2 Tools of variational analysis and generalized differentiation 120
3 Solution notions and necessary optimality conditions in constrained multiobjective optimization 124
4 Local versions of the second welfare theorem 133
5 Global versions of the second welfare theorem 148
References 154
Convexity of the lower partition range of a concave vector measure 157
1 Introduction 157
2 Convex combinations of measurable sets 158
3 Convex structure of concave measures 160
4 An application to the fair division problem 161
References 162
Good locally maximal programs for the Robinson–Solow–Srinivasan model 163
1 Introduction 163
2 Main results 168
3 Proof of Theorem 2.1 169
4 Proof of Theorem 2.2 174
5 Proof of Theorem 2.3 177
References 178
Pythagorean mathematical idealism and the framing of economic and political theory 179
1 Introduction 179
2 Pythagoras and his secret societies 180
3 Early use of mathematics for rational administration 181
4 Plato's dedication to rational ideal forms 183
5 The Chaldean tradition of efficient administration 184
6 Bureaucratic individualism and dispute resolution 186
7 Plato's assimilation of Pythagorean thought 187
8 Solving the problem of irrational numbers: the dyad of the greater and the smaller 188
9 Prometheus and fair division 192
10 The process of arriving at settlements: the dyad 194
11 Aristotle's analysis of exchange and the harmonic proportion 195
12 In summary 199
References 200
Subject Index 
202 
Instructions for Authors 
207 

Produkt-Details

• Erscheint lt. Verlag: 4.4.2010
• Reihe/Serie: Advances in Mathematical Economics
• Reihe/Serie: Advances in Mathematical Economics
• Zusatzinfo: V, 208 p.
• Verlagsort: Tokyo
• Sprache: englisch
• Themenwelt: Wirtschaft ► Allgemeines / Lexika
• Themenwelt: Wirtschaft ► Betriebswirtschaft / Management ► Wirtschaftsinformatik
• Themenwelt: Wirtschaft ► Volkswirtschaftslehre
• Schlagworte: Economics • economics theory • Mathematical economics • Optimization • welfare
• ISBN-10: 4-431-99490-4 / 4431994904
• ISBN-13: 978-4-431-99490-9 / 9784431994909