Abstract
This paper presents an axiomatization of the Shapley value. The balanced cycle contributions property is the key axiom in this paper. It requires that, for any order of all the players, the sum of the claims from each player against his predecessor is balanced with the sum of the claims from each player against his successor. This property is satisfied not only by the Shapley value but also by some other values for TU games. Hence, it is a less restrictive requirement than the balanced contributions property introduced by Myerson (International Journal of Game Theory 9, 169-182, 1980).
| Original language | English |
|---|---|
| Pages (from-to) | 563-571 |
| Number of pages | 9 |
| Journal | International Journal of Game Theory |
| Volume | 39 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2010 |
Keywords
- Axiomatization
- Balanced cycle contributions property
- Shapley value
ASJC Scopus subject areas
- Statistics and Probability
- Mathematics (miscellaneous)
- Social Sciences (miscellaneous)
- Economics and Econometrics
- Statistics, Probability and Uncertainty