TY  - GEN
AB  - We introduce a  generalization of the Maschler--Perles bargaining solution to smooth bargaining problems for $n$ players.
We proceed by the construction of  measures on the Pareto  surface of a convex body.<br />

The MP surface measure is defined for Cephoids, i.e., Minkowski sums of simplices (see [14] for a coherent description); this measure cannot directly be extended to a smooth Pareto surface.<br />

Therefore, we introduce a further extension  of the Maschler--Perles idea  to Pareto surfaces of convex bodies.
This extension is suggested by the density $\sqrt[n]{n_1\cdots n_n }$ of normals in coordinate directions -- a term generalizing the Maschler--Perles line integral of $\sqrt{-dx_1 dx_2}$  -- the "donkey cart" in their interpretation.
The "deGua'' measure defined this way, is then verified to be the limiting measure of the MP measures along the filter of convergent Cephoids as established in [15].
DA  - 2021
LA  - eng
PY  - 2021
SN  - 0931-6558
SP  - 43-
TI  - Bargaining Solutions via Surface Measures
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-29594673
Y2  - 2024-11-24T00:11:15
ER  -