Mathematical economics and management science covers a wide
range of topics. In this seminar we will only be able to touch
upon a few of them. Keywords are management of renewable
resources such as our fisheries and other environmental aspects
(e.g., the problem of carbon dioxide accumulation in the
atmosphere). The ultimate goal is to provide some tools for the
politicians and decision makers; e.g., determining optimal
dynamical corrective taxes (pollution problems) and total
allowable catches (TAC), or harvest quotas for optimal
utilisation of a natural resource (fish, timber, etc.).
Stochastic features appear in many problems of modern
mathematical economics. Most of these must be attacked through
advanced numerical methods in order to deal with realistic
"boundary conditions" or other "natural economic
restrictions". The modern society has a very complex
structure which is difficult to understand and predict regarding
future behaviour. One way to get some insight into its behaviour
regarding economics and management is by mathematical modelling
of basic processes. This requires advanced mathematical tools,
both analytical and numerical. In this seminar we will focus on
these issues.
Some keywords describing the seminar include:
Wednesday (every second week) 1015-1200.
Room 510 (Autogården). The first seminar is February 3.
03.02. Leif Kristoffer Sandal (NHH): Dynamic corrective
taxes with flow and stock externalities: a feedback approach.
(Slides from Sandals presentation as
PDF-file)
17.02. Leif Kristoffer Sandal (NHH): A stochastic feedback
approach to harvest quota assessment.
(Slides from Sandals presentation as
PDF-file) some basic theory variational.ps
or variational.pdf
Some prelimiary theory about FEEDBACK type solutions. A discussion paper not finished (by Berge, Sandal):
03.03. Arne Christian Lund og Kugarajh Kanaganayagam (NHH): The
notion of viscosity solutions in mathematical finance.
Slides from this presentation as PDF-file (NOTICE the pages come up in reversed order).
Article as basis for this presentation as PDF.file. (NOTICE the pages come up in reversed order).
Figure for the above in PDF format
17.03. K. Hvistendahl Karlsen (UiB), Optimal control theory,
dynamic programming, and viscosity solutions: Part I.
07.04. K. Hvistendahl Karlsen (UiB), Optimal control theory,
dynamic programming, and viscosity solutions: Part II. Outline of presentation PDF-file
21.04. Robert McKelvey (editor and founder of the Natural
Resource Modeling journal, Rocky Mountain Mathematics
Consortium): Applications of game theory in the management of
straddling and highly migratory fish stocks.
05.05. Mohammed Al-Amin Ussif (NHH): The inverse method and
information economics.
19.05. Arne Christian Lund og Kugarajh Kanaganayagam (NHH): Title
to be announced.
--- Check out the European Union TMR programme: Viscosity
Solutions and their Applications.
--- Check out the Courant
Finance Server.
Gerhard Berge
Department of Mathematics, UiB
E-mail: gerhard.berge@mi.uib.no.
Kenneth Hvistendahl
Karlsen
Department of Mathematics, UiB
E-mail: kennethk@mi.uib.no
Leif Kristoffer Sandal
Department of Finance and
Management Science, NHH
E-mail: Leif.Sandal@nhh.no
This page is under construction. Last date of change 03.02.99.