| Abstract: |
In an economic or social situation where agents have to group in order to
achieve common goals, how can we calculate the coalitional rents of the agents
arising from the coalition formation? Once we have formalized the situation
via a TU-game and a network describing the economic structure, we can apply
different allocation rules to assign the coalitional rents to the agents. We
specifically analyze situations where parties with a specific vote
distribution in a parliament have to build agreements in order to reach some
required quorum. In this situation, we want to measure the (relative)
distribution of power. We analyze the allocation rules called Position value
(Meessen (1988) and Borm et al. (1992)) and graph-chi-value (Casajus (2009)).
Applying the generalized framework (Gómez et al. (2008)), a framework where
coalitions are not established yet, we fi nd that the graph-chi-value does not
differ for networks referring to the same coalition while the Position value
takes into account the specific role of an agent within the network, i.e. the
communication path. We define and characterize a new outside option sensitive
value, the Kappa-value, which takes into account both outside options and the
role of an agent within the network. |