Economics, Social Choice and Political Theory.
I have extensively worked on both the theoretical
and practical aspects of decision theory, social choice theory and risk
management.
I am currently working on the theory and measurement
of equality of opportunity.
I am also applying economic models to optimize
the R&D-process of product development.
Foundations of Probability.
I am editing an introductory collection of papers
on "The Concept of Probability" aimed at an interdisciplinary audience.
I am also writing an introductory textbook on the same topic.
(Traditionally, this area belongs to the Philosophy
of Science.)
Foundations of Statistics.
Plausibility is a non-Bayesian notion of quantitatively
graded belief, based on the following axiom: The plausibility of a conjunction
is exactly as high as the plausibility of its weakest conjunct, i.e., f(A
and B) = min( f(A), f(B) ). Plausibility provides a better measure for
the confirmation of hypotheses
than probabilities do. Applied to statistics,
plausibility measures combine the virtues of Bayesianism with the virtues
of classical statistics and lead to a mathematical structure akin to Fisher's
log-likelihood ratios.
(Traditionally, this area belongs to Epistemology.)
Comments or questions? Contact me!