# Continuous Extensions of an Order on a Set to the Power Set

@inproceedings{Nehring1994ContinuousEO, title={Continuous Extensions of an Order on a Set to the Power Set}, author={K. Nehring and C. Puppe}, year={1994} }

Abstract The paper addresses the problem of extending an order on a set to a ranking of its subsets based on principles of independence and continuity. The central result is a characterization of rankings that depend on the maximal and minimal element only. The independence condition used in this result is contrasted with a stronger independence condition prevalent in the literature on complete ignorance problems in decision making under uncertainty and—under a different interpretation—also in… Expand

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