Publication at Faculty of Mathematics and Physics |
2017
Abstract
We are concerned with stepwise solution concepts for two and three player cooperative bargaining problems whose Pareto sets are surfaces of a class of comprehensive closed convex sets bounded from above in two and three dimensional real linear spaces. After necessary preliminaries, we discuss the discrete Raiffa solution concept and its variants in two dimensions, and ordinal Shapley-Shubik solution concept in three dimensions.
Then we propose an alternative stepwise solution concept in three dimensions that combines ideas from the Raiffa and Shapley-Shubik approaches.