Abstract The point pair function $$p_G$$ p G defined in a domain $$G\subsetneq {\mathbb {R}}^n$$ ? R n is shown to be quasi-metric, and its other properties are studied. For...

We study the slot allocation problem where agents have quasi-linear single-peaked preferences over slots and identify rules satisfying efficiency, strategy-proofness, individual rationality. Since domain is not connected, famous characterization of Vickrey rule in terms three properties Holmstrom (1979) cannot be applied. However, we are able to establish that on domain, still only

Consider the problem of allocating objects to agents and how much they should pay. Each agent has a preference relation over pairs of a set of objects and a payment. Preferences are not necessarily quasi-linear. Non-quasi-linear preferences describe environments where payments influence agents’ abilities to utilize objects. This paper is to investigate the possibility of designing efficient and...