Voting rules and bureacracy. Public choice theorists have also been concerned with the logic of voting as a means of expressing individual preferences. If the distribution of preferences in a given policy area is single-peaked (ex., a normal curve), then the most popular policy position will be the median one (Black, 1958). Majority voting reflects collective preferences under conditions of single-peakedness since most preferences cluster around the median. However, when preferences are bipolar or multi-peaked, majority voting may not reflect collective preferences. With bipolar preferences, the most popular policy position is the larger of the two peaks, but fewer than half the individual preferences may cluster around it.
Since public agencies deal with different policies having different preference distributions, therefore different agencies will require different constitutional choice and voting rules. No single form of agency organization will fit all policy areas. More broadly, Ostrom and Ostrom (1971: 211) suggest that a self-interested, rational, benefit-maximizing individual would expect to get better results from the public sector under a system of constitutional rules allowing access to a number of different agencies capable of providing public services in response to a diversity of communities of interest. This implies a rejection of unitary theories of bureacracy (ex., Weber, Wilson) in favor of a new theory of public administration based on public choice theory.
- Market vs. hierarchical organization. Following the logic above, Ostrom and Ostrom (1971) argue that in many domains (ex., police, education, water) public services may be better offered through multiple independent agencies rather than through a unitary integrated agency. They write, "A combination of user taxes, service charges, intergovernmental transfers of funds, and voucher systems may evoke some if the characteristics of market arrangements among public service agencies" (p. 212). The role of agency heads under such quasi-market conditions is to mobilize clients and bargain with other governmental bodies. Coordination is achieved by these multiorganizational arrangements rather than through integrated bureaucratic hierarchy. Public choice theory is in this way similar to themes developed by the "new public administration" and "reinventing government" movements of the 1990s, though these movements went further by promoting public-private partnering, outsourcing, and privatization as means to greater 'marketization" of public goods than had been advocated by early public choice theorists.