Template-type: ReDif-Paper 1.0 Author-Name: Klaus B. Author-Name: Peters H. Author-Name: Storcken T. Author-workplace-name: METEOR Title: Reallocation of an infinetely divisible good Abstract: We consider the problem of reallocating the total initial endowments of an infinitely divisible commodity among agents with single-peaked preferences. With the uniform reallocation rule we propose a solution which satisfies many appealing properties, describing the effect of population and endowment variations on the outcome. The central properties which are studied in this context are population monotonicity, bilateral consistency, (endowment) monotonicity and (endowment) strategy-proofness. Furthermore, the uniform reallocation rule is Pareto optimal and satisfies several equity conditions, e.g., equal-treatment and envy-freeness. We study the trade-off between properties concerning variation and properties concerning equity. Furthermore, we provide several characterizations of the uniform reallocation rule based on these properties. Keywords: mathematical economics and econometrics ; Series: Research Memoranda Creation-Date: 1995 Number: 012 File-URL: http://digitalarchive.maastrichtuniversity.nl/fedora/objects/guid:973806c2-753b-43b7-a5b3-0299f03e0803/datastreams/ASSET1/content File-Format: application/pdf File-Size: 341889 Handle: RePEc:unm:umamet:1995012