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Cooperation in Dividing the CakeMarco Dall'AglioLUISS Guido Carli University Rodica Branzei'A.l. Cuza' University of Iasi, Romania - Faculty of Computer Sciences Stef H. TijsTilburg University - Center For Economic Research; Tilburg University - Department of Econometrics & Operations Research; Università degli Studi di Genova - Dipartimento di Matematica November 30, 2008 CentER Discussion Paper Series No. 2008-101 Abstract: This paper defines models of cooperation among players partitioning a completely divisible good (such as a cake or a piece of land). The novelty of our approach lies in the players' ability to form coalitions before the actual division of the good with the aim to maximize the average utility of the coalition. A social welfare function which takes into account coalitions drives the division. In addition, we derive a cooperative game which measures the performance of each coalition. This game is compared with the game in which players start cooperating only after the good has been portioned and has been allocated among the players. We show that a modified version of the game played before the division outperforms the game played after the division.
Number of Pages in PDF File: 22 Keywords: fair division, cooperative games, maximin partition JEL Classification: C71, D61 working papers seriesDate posted: December 8, 2008Suggested CitationContact Information
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