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How money effects national political elections

...... Grossman and Helpman further argue that political officeholders are also concerned about the voices of the average voter. So, the politicians aggregate interest, according to this model, is to maximize a weighted sum of total political contributions and aggregate social welfare (p. 836). But what if the politicians have to choose between the voter support and the lobbyist support? Grossman and Helpman do not give a clear answer to that. In their work that they published two years later, however, Grossman and Helpman (1996) point out that the interests of lobbyists weigh heavier for politicians. In this work, they look at how interest groups affect the electoral process to the legislature. In discussing the activities and the ability of interest groups to affect national policies, Grossman and Helpman write that it is difficult to argue that the political process serves only the interests of the median voter (p. 265)
Grossman and Helpman in this work develop a model that explains how two competing parties vie for seats in the legislative body. Since party members engage in costly political campaigns, they need generous contributions from interested groups. The influence of money to the electoral process in this model is direct.