zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Optimal consumption and portfolio policies with an infinite horizon: Existence and convergence. (English) Zbl 0749.60039
In the last time many papers address the optimal consumption and portfolio problem in economies with a finite horizon. In the present work the authors show how the set of new tools can be brought to bear on the same problem in economies with an infinite horizon. They come to the conclusion that, excepting for some important technical departures, the existence and computation of an optimal policy can be analyzed similarly with the same attractive features as in finite horizon economies. The convergence of optimal policies in finite horizon economies to those in infinite horizon economies is also studied. It is shown that pointwise convergence always occurs for optimal consumption policies although it is unknown whether this occurs for optimal portfolio policies. Throughout this paper the authors assume that there are as many linearly independent risky securities as the dimension of the underlying uncertainty or, markets are dynamically complete. — The paper is very interesting and valuable.
MSC:
60G40Stopping times; optimal stopping problems; gambling theory
91B62Growth models in economics
60J60Diffusion processes