TY - JOUR
T1 - Population monotonic solutions on convex games
AU - Hokari, Toru
PY - 2000/11
Y1 - 2000/11
N2 - 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.
AB - 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.
KW - Convex games
KW - Population monotonicity
KW - The Dutta-Ray solution
KW - The Shapley value
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U2 - 10.1007/s001820000043
DO - 10.1007/s001820000043
M3 - Article
AN - SCOPUS:0034346933
SN - 0020-7276
VL - 29
SP - 327
EP - 338
JO - International Journal of Game Theory
JF - International Journal of Game Theory
IS - 3
ER -