Department of Mathematics







Erik J. Balder



Function

Professor of Mathematical Economics and Decision Theory (emeritus)

Scientific Functions:

Associate Editorships:

Academic Editorship:

Former Associate Editorships:



Visiting Professorships Abroad:

Address

Google Scholar Citations Erik Balder

Publications (as of 2012)

Courses/papers on Young Measures

Papers on measure theory

Papers on game theory and economics

National Course "Convex Analysis for Optimization" (with lecture notes)

Educational

Past Regular Courses (Utrecht)


Courses/papers on Young measure theory

1984:

A general approach to lower semicontinuity and lower closure in optimal control theory Appeared in SIAM J. Control Optim. 22:4 (1984).
A general denseness result for relaxed control theory Appeared in Bull. Austral. Math. Soc. Vol. 30 (1984).

1989:

On Prohorov's theorem for transition probabilities. Appeared in Travaux du Sé&minaire d'Analyse Convexe Montpellier 19 (1989), 9.1-9.11.

1995:

Lectures on Young measures. Appeared as Cahiers du CEREMADE No. 9517 (1995), Université Paris IX Dauphine.

1998-2002:

New Fundamentals of Young measures (Haifa, 1998) Appeared in "Calculus of Variations and Optimal Control", Chapman and Hall Research Notes in Mathematics, No. 411 (2000).
Lectures on Young measure theory and its applications in economics (Grado, 1997) Appeared in Rend. Ist. Mat. Trieste Vol. 31 (2000).
2001 paper: On ws-convergence of product measures Appeared in Math. Oper. Res. Vol. 26 (2001).

Some papers on measure theory


A unifying note on Fatou's lemma in several dimensions (Math. Oper. Res. 9:2 1984)
New sequential compactness results for spaces of scalarly integrable functions (J. Math. Anal. Appl. 151 1990)
(with Christian Hess) Fatou's lemma for multifunctions with unbounded values (Math. Oper. Res. 20:1 1995)
(with Christian Hess) Two generalizations of Komlos' theorem with lower closure-type applications (J. Conv. Anal. 3:1 1996)
(with Anna Rita Sambucini) A note on strong convergence for Pettis integrable functions (Vietnam J. Math 31:3 2003)
(with Anna Rita Sambucini) On weak compactness and lower closure results for Pettis integrable (multi)functions (Bull. Polish Acad. Sci. 52:1 2004)
(with Anna Rita Sambucini) Fatou's lemma for multifunctions with unbounded values in a dual space (J. Conv. Anal. 2005)

Some papers on Game Theory

A unifying approach to existence of Nash equilibria (Int. J. Game Th. 1995)
A unifying pair of Cournot-Nash equilibrium existence results (J. Econ. Th. 2002)
Comments on purification in continuum games (Int. J. Game Th. 2008)
An equilibrium closure result for discontinuous games (Econ. Th. 2011) and a correction to two proofs

Some papers on Economics

An existence result for optimal growth problems (J. Math. Anal. Appl. 95, 1983)
Incompatibility of the usual conditions for equilibrium existence in continuum economies without ordered preferences (J. Econ. Theory 2000)
More on equilibria in competitive markets with externalities and a continuum of agents (J. Math. Econom. 2008)
(with N.C. Yannelis) Bayesian-Walrasian equilibria: beyond the rational expectations equilibrium (ET 2009)
Exact and useful optimization methods for microeconomics (in: Springer Lecture Notes in Economics and Mathematical Systems 655 (2012), pp. 21-38

Lecture Notes on Convex Analysis for Optimization (with lecture notes)

Convex Analysis for Optimization (national LNMB course), Fall '12

Educational

Exact and useful optimization methods for microeconomics (in: Springer Lecture Notes in Economics and Mathematical Systems 655 (2012), pp. 21-38)
Slides of a lecture on "Exact and useful optimization methods for microeconomics"
Comments on chapters 20-21 in "Introduction to Mathematical Economics" (2008) by E.T. Dowling
Comments on some chapters in "Mathematics for Economics" by M. Hoy et al.
Corrections to section 2.2 of Feichtinger-Hartl
Polar cones in finance (Dutch)
Slides: polar cones in finance (Dutch)
The brachistochrone problem made elementary

Address specifications

Mailing address:

Prof. dr. ir. E.J. Balder
Mathematical Institute
Universiteit Utrecht
PO Box 80 010
3508 TA UTRECHT
The Netherlands

Visiting address:

Mathematics Building
Room 600
Universiteit Utrecht
Budapestlaan 6
Utrecht
The Netherlands

Email: <E.J.Balder@uu.nl>

Telefax: +31-30-2518394

E.J. Balder

Past Courses

2012-2013:

Convex Analysis for Optimization (national LNMB course), Fall '12
Workshop Stochastic Dynamics in Economics and Finance (HIM, Bonn), May-August '13
Speltheorie (WISB272), najaar '12
Microeconomie (WISB271), voorjaar '13

2011-2012:

course WISB372 (Optimization, Mathematics Department) and ECRMMAT (Research Master, Utrecht School of Economics)
Microeconomie (WISB271, voorjaar '12)
Maat en Integratie (WISB312, voorjaar '12)

2010-2011:

Convex Analysis for Optimization (national LNMB course, Fall '10)
Mathematics (both master course for USE and bachelor course WISB372 for math students)
Microeconomie (WISB271, voorjaar '11)
Maat en Integratie (WISB312, voorjaar '11)

2009-2010:

Infinitesimaalrekening C (WISB234, najaar '09)
Micro-economie (WISB271, voorjaar '10)
Maat en Integratie (WISB312, voorjaar '10)

2008-2009:

Convex Analysis for Optimization (national LNMB course)
Optimization

2007-2008:

Investeringstheorie
Optimization
Microeconomie

2006-2007:

Microeconomie
Optimization
Convex Analysis for Optimization (national LNMB course)

2005-2006:

Kaleidoscoop 1
Optimization
Investeringstheorie <E.J.Balder@uu.nl>
3 December, 2008