Supplement to “ Commitment without Reputation : Renegotiation-Proof Contracts under Asymmetric Information ”

In what follows we provide the omitted proofs of the statements made in our paper “Commitment without Reputation: Renegotiation-Proof Contracts under Asymmetric Information.” In order to distinguish statements made in that paper from the ones made in this document we will add a note “(of the main paper)” after those from the main paper. It is well-known that if b2 is increasing, then, under increasing differences, incentive compatibility reduces to local incentive compatibility. We state it as a claim for future reference.