Score contribution per author:
α: calibrated so average coauthorship-adjusted count equals average raw count
We study conditions for the existence of stable and (group)-strategy-proof mechanisms in a many-to-one matching model with contracts if students' preferences are monotone in contract terms. We show that “equivalence”, properly defined, to a choice profile under which contracts are substitutes and the law of aggregate demand holds is a necessary and sufficient condition for the existence of a stable and (group)-strategy-proof mechanism.