Cumulativeness in Dialectical Games
An older paper from the ISSA 2006 conference that wasn't archived anywhere. I recently started extending this work towards a journal publication but thought it worth having the original available somewhere as well.
There are many dialectical games and correspondingly there are many dialogical situations in which the games can be deployed. These situations include a range of differing dialogue types and social circumstances in which a dialogue may occur. This paper investigates the ways that cumulativeness is exhibited in a range of formal dialectic games and how the notion of cumulativeness can be applied to the classification problem determining which groups of dialectical games are most suitably applied to a given dialogical situation. Building on the features identified in the extant games analysis, some elements of a theory of cumulativeness are identified and presented in the context of a computational framework for dialectical game implementation called the Architecture for Argumentation. Finally a number of problems are identified to which the class of cumulative dialectical games could be usefully applied.