Modeling the effect of campaign advertising on US presidential elections when differences across states matter

We provide a stochastic electoral model of the US Presidential election where candidates take differences across states into account when developing their policy platforms and advertising campaigns. Candidates understand the political and economic differences that exist across states and voters care about candidates' policies relative to their ideals, about the frequency of candidates' advertising messages relative to their ideal message frequency, their campaign tolerance level, and vote taking into account their perceptions of candidates' traits and competencies with their vote also depending on their sociodemographic characteristics. In the local Nash equilibrium, candidates give maximal weight to undecided voters and swing states and little weight to committed voters and states. These endogenous weights pin down candidates' campaign and depend on the probability with which voters choose each candidate which depends on candidates' policies and advertising campaigns. Weights vary across candidates' policy and ad campaigns, reflecting the importance voters in each state give to the two dimensions and the variation in voters' preferences across states.