I mentioned before certain methods of voting. I would like to continue by discussing an outcome of more strategic behavior that candidates and voters try to take advantage of. "The median voter theorem" is a model which is often used. As I have been discussing, it is obvious that collective decisions cannot give everyone what they want. People with atypical preferences will not be as pleased as those whose preferences are more average. Let's assume a situation of direct democracy, where the voters vote directly on issues, and laws are made by the voters (imagine a town meeting). Also assume that there are three people. Each person takes into account the benefit they expect from the service and their personal tax cost. The issue at hand is one about police services. The greater the amount of police service, the more benefit each individual receives, and thus a larger tax bill will need to be paid by each as well. No one wants to have a society with no police, but there is definitely an optimal level of spending for each voter, and an individual's preferences are less well satisfied if spending is either less than this optimal amount or more than this amount. The farther away the majority choice is from an individual's optimum, the less well off the individual is in relation to it. The median voter would refer to the one whose optimum lies in the middle of the group. If the voters vote according to simple majority rule and act independently of each other through an exhaustive vote, and the cost of voting is small, the median voter theorem states that under specific conditions the outcome of an exhaustive majority vote on an issue will be the optimum of the median voter.

Interestingly, a lot of empirical research has actually been built on this model. It has been found to be useful in predicting the size of school budgets, government policies on conservation, etc… and it even can explain why political parties choose to opt for certain platforms and positions that are similar to each other.

But how desirable is the median outcome? Does it lead to good or bad results? We assumed simple majority voting, and as a result it was the median voter's preference that dominated and decided what would be done. But is this the best policy for the community? We have to compare the benefits among the individuals-that is to say we need to see how important one person's benefit from voting is in relation to another person's. If we make the assumption that the collective benefit needs to be maximized then we can say that the median voter's optimum would be best but only if 2 conditions hold: 1) voters have roughly the same intensity of preferences or 2) that the voters to the left of the median feel just about as strongly as the voters to the right (symmetrical). But if the intensities of the individuals differ a lot, then the median outcome would not be desirable. And unfortunately in the real world when we do get away from the "perfect" models we see that the intensities of individual preferences do differ a bit. Plus, real voting and real elections are much more complex than these simple models would lead us to believe and many more factors play in to the final outcomes.

Voters in modern democracies are interested in many issues. Therefore we must ask if the median voter model is useful in describing more realistic situations. The answer is yes and no. The center of the issue is not really the same as the median voter's preference on one issue. It refers to a sort of average on many issues. It is unlikely that the median voter would be the median voter on every issue. A candidate aims to construct a platform that will maximize their probability of being elected. The center opinion strategy is one that is formed to try to appeal to the center opinion not the median per se.

Voters, like consumers, make errors, and many politicians have developed ways to prompt mistakes and exploit them. They know that voters are uncertain about which candidate is most likely to act in their interest, so they try to give voters information to distinguish them from other candidates in the most attractive manner possible. They take lessons in speech-writing, hire expert writers, advertise, get endorsements from pressure groups and other people, etc… In other words, they try their best to discover and exploit the sociological factors that influence voters' decisions to vote. All of these things require money. As they use their own personal funds up they try to raise additional funds. They try to appeal to "special interest groups." These people then make a contribution because they believe that they will be treated favorably by the government bureau. In the case of a legislator, the special interest group contributes to a campaign fund in exchange for the candidate's promise to vote for or against particular bills and policies.

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