  We deal with the problem of outsourcing the debt for a big investment,
according two situations: either the firm outsources both the investment (and
the associated debt) and the exploitation to a private consortium, or the firm
supports the debt and the investment but outsources the exploitation. We prove
the existence of Stackelberg and Nash equilibria between the firm and the
private consortium, in both situations. We compare the benefits of these
contracts. We conclude with a study of what happens in case of incomplete
information, in the sense that the risk aversion coefficient of each partner
may be unknown by the other partner.
