  In the Maximum Capture Facility Location (MCFL) problem with a binary choice
rule, a company intends to locate a series of facilities to maximize the
captured demand, and customers patronize the facility that maximizes their
utility. In this work, we generalize the MCFL problem assuming that the
facilities of the decision maker act cooperatively to increase the customers'
utility over the company. We propose a utility maximization rule between the
captured utility of the decision maker and the opt-out utility of a competitor
already installed in the market. Furthermore, we model the captured utility by
means of an Ordered Median function (OMf) of the partial utilities of newly
open facilities. We name this problem "the Cooperative Maximum Capture Facility
Location problem" (CMCFL). The OMf serves as a means to compute the utility of
each customer towards the company as an aggregation of ordered partial
utilities, and constitutes a unifying framework for CMCFL models. We introduce
a multiperiod non-linear bilevel formulation for the CMCFL with an embedded
assignment problem characterizing the captured utilities. For this model, two
exact resolution approaches are presented: a MILP reformulation with valid
inequalities and an effective approach based on Benders' decomposition.
Extensive computational experiments are provided to test our results with
randomly generated data and an application to the location of charging stations
for electric vehicles in the city of Trois-Rivi\`eres, Qu\`ebec, is addressed.
