How do I Know how much I don't Know? A cognitive approach about Uncertainty and Ignorance

We propose a general framework for reasoning and deciding in uncertain scenarios, with possibly infinite source of information (open world). This involves representing ignorance, uncertainty and contradiction; we present and analyze those concepts, integrating them in the notion of lack of confidence or perplexity. We introduce and quantify the strength of the beliefs of an agent and investigate how he can do explicit epistemic actions in order to supply information lacks. Next we introduce a simple distributed game (RBG) and we use it as a testbed for comparing the performance of agents using the (classical) "expected utility maximization" and the "perplexity minimization" strategies.