Allocation rules for cooperative games can be manipulated by coalitions merging into single players, or, conversely, players splitting into a number of smaller units. This paper collects some (im)possibility results on merging- and splitting-proofness of (core) allocation rules for cooperative games with side-payments.
- Cooperative games
- Fujishige-Dutta-Ray allocation rule
Knudsen, P. H., & Østerdal, L. P. (2012). Merging and Splitting in Cooperative Games: Some (Im)Possibility Results. International Journal of Game Theory, 41(4), 763–774. https://doi.org/10.1007/s00182-012-0337-7