4 papers
A decision-theoretic approach to dealing with uncertainty in quantum mechanics
Keano De Vos, Gert de Cooman, Alexander Erreygers +1
We provide a decision-theoretic framework for dealing with uncertainty in quantum mechanics. This uncertainty is two-fold: on the one hand there may be uncertainty about the state…
Allowing for imprecision in the game-theoretic characterisation of the Poisson process
Alexander Erreygers
In their 1993 paper 'Forecasting point and continuous processes: Prequential analysis' in Test, Vovk put forward a game-theoretic definition of the Poisson process. A key assumptio…
A convenient characterisation of convergent upper transition operators
Jasper De Bock, Alexander Erreygers, Floris Persiau
Motivated by its connection to the limit behaviour of imprecise Markov chains, we introduce and study the so-called convergence of upper transition operators: the condition that fo…
Extending choice assessments to choice functions: An algorithm for computing the natural extension
Arne Decadt, Alexander Erreygers, Jasper De Bock
We study how to infer new choices from prior choices using the framework of choice functions, a unifying mathematical framework for decision-making based on sets of preference orde…