We consider fundamental questions of arbitrage pricing arising when the uncertainty model incorporates volatility … uncertainty. With a standard probabilistic model, essential equivalence between the absence of arbitrage and the existence of an … martingale measure sets, in a dynamic trading framework under absence of prior depending arbitrage. We prove the existence of …

We consider fundamental questions of arbitrage pricing arising when the uncertainty model is given by a set of possible … mutually singular probability measures. With a single probability model, essential equivalence between the absence of arbitrage … equivalent symmetric martingale measure sets, in a dynamic trading framework under absence of prior depending arbitrage. We prove …