This chapter broadly surveys spatial voting models of party competition in two dimensions, where, in Western democracies, the first dimension is typically the left-right dimension pertaining to policy debates over income redistribution and government intervention in the economy. The second dimension may encompass policy debates over issues that cross-cut the left-right economic dimension, or it may encompass universally valued “valence” dimensions of party evaluation such as parties’ images for competence, integrity, and leadership ability. The chapter reviews models with office-seeking and policy-seeking parties. It also surveys both the theoretical and the empirical literatures on these topics.