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Allocation rules for land division. (English) Zbl 1159.91367

Summary: This paper studies the classical land division problem formalized by H. Steinhaus [Econometrica 16, 101–104 (1948)] in a multi-profile context. We propose a notion of an allocation rule for this setting. We discuss several examples of rules and properties they may satisfy. Central among these properties is division independence: a parcel may be partitioned into smaller parcels, these smaller parcels allocated according to the rule, leaving a recommended allocation for the original parcel. In conjunction with two other normative properties, division independence is shown to imply the principle of utilitarianism.

MSC:

91B18 Public goods
91B32 Resource and cost allocation (including fair division, apportionment, etc.)
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