Envelopes of conditional probabilities extending a strategy and a prior   probability
  Any strategy and prior probability together are a coherent conditional probability that can be extended, generally not in a unique way, to a full conditional probability. The corresponding class of extensions is studied and a closed form expression for its envelopes is provided. Then a topological characterization of the subclasses of extensions satisfying the further properties of full disintegrability and full strong conglomerability is given and their envelopes are studied. 
Davide Petturiti and Barbara Vantaggi
math.PR