In the production model with a one-input]one-output technology, we study welfare lower bounds that give a guarantee of welfare to each agent independent of the others’ preferences. We obtain characterizations of egalitarian-equivalent allocation rules on the basis of two weak lower bounds, in striking contrast with Moulin’s characterization of the equal budget Walrasian solution on a slightly smaller domain with a more demanding lower bound.
Fleurbaey, M., & Maniquet, F. (1996). Cooperative production: A comparison of welfare bounds. Games and Economic Behavior, 17(2), 200-208. https://doi.org/10.1006/game.1996.0102 (Original work published 1996)