Strategy‐Proof Location of Public Facilities

Consider the problem of locating a public facility taking into account the agents' preferences. To construct strategy‐proof social choice rules, we propose a new preference domain that allows agents to have any single‐peaked or any single‐dipped preference on the location of the facility such that the peak/dip of the preference is in her own location. We characterize all strategy‐proof rules in this general framework and study the conditions under which this family of strategy‐proof rules includes non‐dictatorial rules that have more than two alternatives in the range or that are Pareto efficient. Finally, we characterize for some focal cases all strategy‐proof and Pareto efficient rules.