Abstract
The Dutta-Ray solution and the Shapley value are two well-known examples of population-monotonic solutions on the domain of convex games. We provide a new formula for the Dutta-Ray solution from which population-monotonicity immediately follows. Then we define a new family of population-monotonic solutions, which we refer to as "sequential Dutta-Ray solutions." We also show that it is possible to construct several symmetric and population-monotonic solutions by using the solutions in this family.
| Original language | English |
|---|---|
| Pages (from-to) | 327-338 |
| Number of pages | 12 |
| Journal | International Journal of Game Theory |
| Volume | 29 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2000 Nov |
| Externally published | Yes |
Keywords
- Convex games
- Population monotonicity
- The Dutta-Ray solution
- The Shapley value
ASJC Scopus subject areas
- Statistics and Probability
- Mathematics (miscellaneous)
- Social Sciences (miscellaneous)
- Economics and Econometrics
- Statistics, Probability and Uncertainty