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Collusion, Exclusion, and Inclusion in Random-Order Bargaining

Ilya Segal
The Review of Economic Studies
Vol. 70, No. 2 (Apr., 2003), pp. 439-460
Published by: Oxford University Press
Stable URL: http://www.jstor.org/stable/3648641
Page Count: 22
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Collusion, Exclusion, and Inclusion in Random-Order Bargaining
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Abstract

This paper examines the profitability of three types of integration in a cooperative game solved by a random-order value (e.g. the Shapley value). Collusion between players i and j is a contract merging their resources in the hands of one of them, say i. This contract can be represented as a combination of exclusion, which lets i exclude j's resource but not use it himself, and inclusion, which lets i use j's resource but not exclude j from it. This representation yields a third-difference condition on the characteristic function that determines the profitability of collusion, generalizing existing results for specific games. Namely, collusion is profitable [unprofitable] when the complementarity of the colluding players is reduced [increased] by other players.

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