Foster, Chelsey2015-01-062015-01-0620142015-01-06http://hdl.handle.net/1828/5844This thesis considers the problem of finitely iterated rational secret sharing. We describe how to evaluate this problem using game theory and finitely iterated prisoner’s dilemma. The players each have a private horizon that the other player does not know. The only thing that a player knows about their opponent’s private horizon is a common upper bound. The description of a synchronous and asynchronous finitely iterated secret sharing protocol with private information is followed by a game theoretic proof of the viability of such protocols.enRational Secret SharingUncertainty in Prisoners DilemmaPrivately Informed Prisoners DilemmaRational Multi party computationThesisAvailable to the World Wide Web