A vector of balanced weights infers an inequality that games with a nonempty core obey. This paper gives a generalization of the notion `vector of balanced weights'. Herewith it provides necessary and sufficient conditions to determine whether a TU-game has a population monotonic allocation scheme or not. Furthermore it shows that every 4-person integer valued game with a population monotonic allocation scheme has an integer valued population monotonic allocation scheme and it gives an example of a 7-person integer valued game that has only non-integer valued population monotonic allocation schemes.
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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number
99.
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Jesus Fco. Getan Olivan & Jesus Montes & Carlos Rafels Pallarola, 2006.
"On the monotonic core,"
Working Papers in Economics
155, Universitat de Barcelona. Espai de Recerca en Economia.
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