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), Béal and Solal (Rev Econ 61:1099-1109, 2010), Estévez-Fernández et al. (2010), and Casas-Méndez 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.