This paper revisits the fair and optimal allocation mechanism (Sun and Yang, Economics Letters 81:73-79, 2003) and demonstrates that it is coalitionally strategy-proof. The proof is valid for general preferences, it is simple and it is short.

A multiple-partners assignment game with heterogeneous sales and multiunit demands consists of a set of sellers that own a given number of indivisible units of (potentially many different) goods and a set of buyers who value those units and want to buy at most an exogenously fixed number of...

We consider the problem of axiomatizing the Shapley value on the class of assignment games. We first show that several axiomatizations of the Shapley value on the class of all TU-games do not characterize this solution on the class of assignment games by providing alternative solutions that...