A Survey of Allocation Rules for the Museum Pass Problem

In this paper, we consider the problem, introduced by Ginsburgh and Zang (Games Econ Behav 43:322–325, 2003), of sharing the income from the sell of passes that allow the entrance in a set of museums. First, we recall some allocation rules and some properties presented in Ginsburgh and Zang (Mus Manag Curatorship 19:371–383, 2004), Beal and Solal (Rev Econ 61:1099–1109, 2010), Estevez-Fernandez et al. (2010), and Casas-Mendez et al. (Eur J Oper Res 215:161–168, 2011). Then, we discuss them, finding the properties satisfied by each allocation rule. The analysis of a real-world example concludes the paper.