Game Theory and Politics by Steven J. Brams

Author:Steven J. Brams
Language: eng
Format: epub
ISBN: 9780486143637
Publisher: INscribe Digital
Published: 2012-10-08T04:00:00+00:00

Likewise, the defection of chairman e will be critical in six DMWC’S,

(a, b, e), (a, c, e), (a, d, e), (b, c, e), (b, d, e), (c, d, e),

so his power is identical to that of a regular member (0.20). In general, every member (regular or chairman) will be critical in every DMWC containing himself and exactly two of the four remaining other members, or in a total of DMWC’s

Now if a chairman is endowed with veto power, his presence will be necessary in all DMWC’s. The number of coalitions that are minimal winning with respect to his defection will be equal to the number of coalitions containing himself and at least two regular members:

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