A Framework for Modeling Decision Making and Deception with Semantic Information

We propose a mixed logical and game theoretic framework for modeling decision making under the potential for deception. This framework is most appropriate for online communities in which a decision maker must act upon information being provided by various sources with various different motivations. We show that in the simple three-player game we propose there are always equilibria in pure strategies. We then extend the three player game to a case where there are mixed strategy equilibria. We discuss how to approximate the truth of a given statement using a logical construct and how this can be used as a proxy in payoff functions. Finally we discuss as future directions the use of regret functions and live play.