Type monotonic allocation schemes for multi-glove games

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Type monotonic allocation schemes for multi-glove games

Author Info

Tijs, S.
Branzei, R.
Solymosi, T. (Tilburg University, Center for Economic Research)

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Tamás Solymosi

Abstract

Multiglove markets and corresponding games are considered. For this class of games we introduce the notion of type monotonic allocation scheme. Allocation rules for multiglove markets based on weight systems are introduced and characterized. These allocation rules generate type monotonic allocation schemes for multiglove games and are also helpful in proving that each core element of the corresponding game is extendable to a type monotonic allocation scheme. The T-value turns out to generate a type monotonic allocation scheme with nice extra properties. The same holds true for the nucleolus, for in multi glove games these two solutions coincide.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 34.

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Date of creation: 2003
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Handle: RePEc:dgr:kubcen:200334

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Related research
Keywords: t-value

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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

This paper has been announced in the following NEP Reports:

NEP-ALL-2003-04-27 (All new papers)
NEP-GTH-2003-04-27 (Game Theory)

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Fernandez, C. & Borm, P. & Hendrickx, R. & Tijs, S., 2002. "Drop out monotonic rules for sequencing situations," Discussion Paper 51, Tilburg University, Center for Economic Research. [Downloadable!]
Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June. [Downloadable!] (restricted)
Voorneveld, M. & Tijs, S. & Grahn, S., 2000. "Monotonic allocation schemes in clan games," Discussion Paper 80, Tilburg University, Center for Economic Research. [Downloadable!]
Potters, Jos & Poos, Rene & Tijs, Stef & Muto, Shigeo, 1989. "Clan games," Games and Economic Behavior, Elsevier, vol. 1(3), pages 275-293, September. [Downloadable!] (restricted)
Rosenmueller,J. & Sudhoelter,P., 2000. "Formation of cartels in glove markets and the modiclus," Working papers 319, University of Bielefeld, Insitute of Mathematical Economics. [Downloadable!]

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