Conditional means, vector pricings, amenability and fixed points in cones
Authors
Nicolas Monod
Abstract
We study a generalization of conditional probability for arbitrary ordered vector spaces. A related problem is that of assigning a numerical value to one vector relative to another.
We characterize the groups for which these generalized probabilities can be stationary, respectively invariant. This leads to a new criterion for amenability and for fixed points in cones.
