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 rapport 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 (in terms of the minimal winning coalitions of the game). [ABSTRACT FROM AUTHOR]
Original language | English |
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Pages (from-to) | 185-192 |
Number of pages | 8 |
Journal | Mathematics of Operations Research |
Volume | 12 |
Issue number | 2 |
State | Published - May 1987 |
Keywords
- Mathematics
- Games