Semivalues of Simple Games
- 1 May 1987
- journal article
- Published by Institute for Operations Research and the Management Sciences (INFORMS) in Mathematics of Operations Research
- Vol. 12 (2) , 185-192
- https://doi.org/10.1287/moor.12.2.185
Abstract
It is shown that each semivalue (bounded semivalue) on the class SG of monotonic simple games with a finite support can be uniquely extended to a semivalue (continuous semivalue) on the class G of all games with a finite support. We use this to show that the formula that is given for semivalues (continuous semivalues) on G by Dubey, Neyman and Weber also holds for semivalues (bounded semivalues) on SG. We also derive another formula for semivalues on SG (in terms of the minimal winning coalitions of the game).Keywords
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