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We prove an existence result for the principal-agent problem with adverseselection under general assumptions on preferences and allocation spaces.Instead of assuming that the allocation space is finite-dimensional or compact,we consider a more general coercivity condition which takes into account theprincipal's cost and the agents' preferences. Our existence proof is simple andflexible enough to adapt to partial participation models as well as to the caseof type-dependent budget constraints.

Existence of solutions to principal-agent problems with adverse selection under minimal assumptions