Proceedings of the Annual Meeting of the Cognitive Science Society

Traditionally, models of the decision-making process have fo-cused on the case where a decision-maker must choose be-tween two alternatives. The most successful of these, sequen-tial sampling models, have been extended from the binary caseto account for choices and response times between multiplealternatives. In this paper, I present a geometric representa-tion of diffusion and accumulator models of multiple-choicedecisions, and show how these can be analyzed as Markovprocesses on lattices. I then introduce psychological relation-ships between choice alternatives and show how this impactsthe sequential sampling process. I conclude with two examplesshowing how one can predict distributions of responses on acontinuum as well as response times by incorporating psycho-logical representations into a multi-dimensional random walkdiffusion process.