We consider the problem of choosing a partition of a set of objects by a set of agents. The private information of each agent is a strict ordering over the set of partitions of the objects. A social choice function chooses a partition given the reported preferences of the agents. We impose a...

We consider deterministic dominant strategy implementation in multidimensional dichotomous domains in private values and quasi-linear utility setting. In such multidimensional domains, an agent's type is characterized by a single number, the value of the agent, and a non-empty subset of...

We consider implementation of a deterministic allocation rule using transfers in quasi-linear private values environments. We show that if the type space is a multidimensional domain satisfying some ordinal restrictions, then an allocation rule is implementable in such a domain if and only if it...