Fair Production and Allocation of an Excludable Nonrival Good

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Cahier 2002-04

MANIQUET, François

SPRUMONT, Yves

Fair Production and Allocation of an Excludable

Nonrival Good

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Département de sciences économiques Université de Montréal

Faculté des arts et des sciences C.P. 6128, succursale Centre-Ville Montréal (Québec) H3C 3J7 Canada http://www.sceco.umontreal.ca SCECO-information@UMontreal.CA Téléphone : (514) 343-6539 Télécopieur : (514) 343-7221

Ce cahier a également été publié par le Centre interuniversitaire de recherche en économie quantitative (CIREQ) sous le numéro 04-2002.

This working paper was also published by the Center for Interuniversity Research in Quantitative Economics (CIREQ), under number 04-2002.

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CAHIER 2002-04

FAIR PRODUCTION AND ALLOCATION OF AN EXCLUDABLE NONRIVAL GOOD François MANIQUET1 and Yves SPRUMONT2

1 _{Institute for Advanced Study, Princeton University, and F.N.R.S., University of Namur}

2 _{Centre de recherche et développement en économique (C.R.D.E.) and Département de}

sciences économiques, Université de Montréal

February 2002

_______________________

The authors thank seminar participants at the Institute for Advanced Study, and especially Massimo Morelli, for their comments and suggestions. Sprumont gratefully acknowledges financial support from the Social Sciences and Humanities Research Council of Canada and the Fonds pour la formation de chercheurs et l'aide à la recherche of Québec.

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RÉSUMÉ

Dans le contexte d'une économie à un bien privé et un bien non rival, nous montrons que trois principes normatifs simples forcent à classer les allocations en appliquant le critère maximin aux vecteurs de bien-être mesuré en termes du bien non rival.

Mots clés : équité, bien non rival, exclusion, ordres sociaux

ABSTRACT

We study fairness in economies with one private good and one partially excludable nonrival good. A social ordering function determines for each profile of preferences an ordering of all conceivable allocations. We propose the following Free Lunch Aversion condition: if the private good contributions of two agents consuming the same quantity of the nonrival good have opposite signs, reducing that gap improves social welfare. This condition, combined with the more standard requirements of Unanimous Indifference and Responsiveness, delivers a form of welfare egalitarianism in which an agent's welfare at an allocation is measured by the quantity of the nonrival good that, consumed at no cost, would leave her indifferent to the bundle she is assigned.

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