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Group identification refers to the problem of classifying individuals into groups (e.g., racial or ethnic classification). We consider a multinary group identification model where memberships to three or more groups are simultaneously determined based on individual opinions on who belong to what groups. Our main axiom requires that membership to each group, say the group of J's, should depend only on the opinions on who is a J and who is not (that is, independently of the opinions on who is a K

Abstract We model problems of allocating disputed properties as generalized exchange economies. Therein, agents have preferences and claims over multiple goods, and the social endowment of each good may not be sufficient to satisfy all individual claims. We focus on market‐based allocation rules that impose a two‐step procedure: assignment of rights based on claims first and voluntary exchange based on the assigned rights afterward. We characterize three focal egalitarian rights‐assignment rules