Since von Neuman and Morgenstern's (1944) contribution to game theory, the expected utility criterion has become the standard functional to evaluate risky prospects. Risky prospects are understood to be lotteries on a set of prizes. In which case a decision maker will receive a precise prize...

Since von Neuman and Morgenstern's (1944) contribution to game theory, a rational decision maker will rank risky prospects according to the celebrated Expected utility criterion. This method takes lotteries i.e. (simple) probability distributions to represent risky prospects. If the decision...

We prove for totally monotone games defined on the set of Borel sets of a locally compact sigma-compact topological space a similar decomposition theorem to the famous Yosida-Hewitt's one for finitely additive measures. This way any totally monotone decomposes into a continuous part and a...