This paper compares the solutions to "the induction problem" by Kolmogorov, de Finetti, and Solomonoff. Brief sketches of the intellectual history of de Finetti and Kolmogorov are also composed. Kolmogorov's contributions to information theory culminated in his notion of algorithmic complexity....

This paper is a survey of recent developments in probabilistic microeconomics. While research on the foundations of utility theory is not reviewed, a general Von Neumann-Morgenstern model of decision-making under uncertainty is presented. Alternative measures of risk aversion are examined within...