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A Note On Luenberger'S Zero-Maximum Principle For Core Allocations

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    (L.I.B.R.E., Faculté de Droit et de Sciences Economiques, Université de Franche-Comté, 45 D avenue de l'observatoire, 25030, Besançon cedex, France)



    (L.I.B.R.E., Université de Franche-Comté, France)



    (L.I.B.R.E., Université de Franche-Comté, and CERMSEM, Université de Paris I, France)

In this note, we state a zero-maximum principle for core allocations, a result which was foreseen by Luenberger (1995). We prove a generalization of the first-zero maximum theorem of Luenberger. Roughly said, an allocation is in the core if for every coalition, the sum of individual benefit functions is non-positive. We also provide some partial converses which give a generalization of the second-zero maximum theorem of Luenberger.

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Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

Volume (Year): 09 (2007)
Issue (Month): 03 ()
Pages: 453-460

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Handle: RePEc:wsi:igtrxx:v:09:y:2007:i:03:p:453-460
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