Advances in Mathematical Economics – Shigeo Kusuoka & Toru Maruyama – Volume 13


Advances in is a publication of the Research Center for , which was founded in 1997 as an international scientific association that aims to promote research activities in .
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 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 : – economic theories in various based on rigorous mathematical reasoning; – mathematical (e.g., , , geometry, ) 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.

Table of Contents

Some various convergence results for multivalued martingales
A note on Aumann’s core equivalence theorem without monotonicity
On two classical turnpike results for the Robinson–Solow–Srinivasan model
A certain limit of iterated conditional tail expectation
Set-valued optimization in welfare economics
Convexity of the lower partition range of a concave vector measure
Good locally maximal programs for the Robinson–Solow–Srinivasan model
Pythagorean mathematical idealism and the framing of economic and political theory
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