A New Outside Option Value for Networks: The Kappa-Value – Measuring Distribution of Power of Political Agreements
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 (Gomez 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.
A Value for Directed Communication Situations
In this paper we introduce an extension of the model of restricted communication in cooperative games as introduced in Myerson (1977) by allowing communication links to be directed and the worth of a coalition to depend on the order in which the players enter the coalition. Therefore, we model the communication network by a directed graph and the cooperative game by a generalized characteristic function as introduced in Nowak and Radzik (1994). We generalize the Myerson value for undirected (or standard) communication situations to the context of directed communication and provide two axiomatizations of this digraph Myerson value using component efficiency and either fairness or the balanced contributions property.
An assessment of the Impact of Devolution on Women Empowerment in Nakuru County
-Women have been grossly marginalized in organs of decision-making and governance structures. The Constitution of Kenya has sought to bridge this gap by providing both women and men the right to equal treatment, including the right to equal opportunities in political, economic, cultural and social spheres. However, gender equality has not been achieved and women are still lagging in terms of decision making processes. The main objective of the study was to detemine the impact of devolution on women empowerment in Nakuru County. The study found that substantive women representation, development of programs and accessibility of services had a positive effect on the women empowerment in Nakuru County. The study also found out that increased accessibility of Services by women influenced women empowerment, this study also concludes that the introduction of development programs had the greatest impact on women empowerment in Nakuru County. The study recommends that more programs targeting women should be introduced as these have the greatest impact on women empowerment. The findings may be used to make conclusions and recommendations.