Facility Location Games with Entrance Fees

The facility location game is an extensively studied problem in mechanism design. In the classical model, cost of each agent her distance to nearest facility. this paper, we consider a novel model where charges entrance fee, which function facility's location. Thus, our sum and fee generalized captures more real-life scenarios. can be arbitrary function, corresponding preferences agents may not single-peaked anymore: makes complex requires new techniques analysis. We systematically study design strategyproof mechanisms with nice approximation ratios also complement these nearly-tight impossibility results. Specifically, for one-facility two-facility games, provide upper lower bounds given by deterministic randomized mechanisms, respect utilitarian egalitarian objectives. Most are tight, independent functions. Our results match model.