Abstract
On the domain of convex games, many desirable properties of solutions are compatible and there are many single-valued solutions that are intuitively appealing. We establish some interesting logical relations among properties of single-valued solutions. In particular, we introduce a new property, weak contribution-monotonicity, and show that this property is a key property that links other properties such as population-monotonicity, max consistency, converse max consistency, and dummy-player-out.
| Original language | English |
|---|---|
| Pages (from-to) | 593-607 |
| Number of pages | 15 |
| Journal | International Journal of Game Theory |
| Volume | 31 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2003 Oct |
| Externally published | Yes |
Keywords
- Consistency
- Contribution monotonicity
- Converse consistency
- Convex games
- Population monotonicity
ASJC Scopus subject areas
- Statistics and Probability
- Mathematics (miscellaneous)
- Social Sciences (miscellaneous)
- Economics and Econometrics
- Statistics, Probability and Uncertainty
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