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We introduce the prediction value (PV) as a measure of players' informational importance in probabilistic TU games. The latter combine a standard TU game and a probability distribution over the set of coalitions. Player i's prediction value equals the difference between the conditional...
Persistent link: https://www.econbiz.de/10010328331
The equivalence of markets and games concerns the relationship between two sorts of structures that appear fundamentally different -- markets and games. Shapley and Shubik (1969) demonstrates that: (1) games derived from markets with concave utility functions generate totally balanced games...
Persistent link: https://www.econbiz.de/10008624634
A set of jobs need to be served by a server which can serve only one job at a time. Jobs have processing times and incur waiting costs (linear in their waiting time). The jobs share their costs through compensation using monetary transfers. In the first part, we provide an axiomatic...
Persistent link: https://www.econbiz.de/10005043634
We study political distortions that emerge in situations where agents' political power is disproportionate with respect to their economic power. We provide a precise definition which adopts the same measure unit, the Shapley value, to evaluate both the economic and the political power. We show...
Persistent link: https://www.econbiz.de/10009366400
Approval voting allows voters to list any number of candidates. Their scores are obtained by summing the votes cast in their favor. Fractional voting instead follows the One-person-one-vote principle by endowing voters with a single vote that they may freely distribute among candidates. In this...
Persistent link: https://www.econbiz.de/10012862766
The Shapley-Shubik index was designed to evaluate the power distribution in committee systems drawing binary decisions and is one of the most established power indices. It was generalized to decisions with more than two levels of approval in the input and output. In the limit we have a continuum...
Persistent link: https://www.econbiz.de/10012867501
We examine the Talmudic three wives problem, which is a generalization of the Talmudic contested garment problem solved by Aumann and Maschler (1985) using coalitional procedure. This problem has many practical applications. In an attempt to unify all Talmudic methods, Guiasu (2010, 2011)...
Persistent link: https://www.econbiz.de/10013031631
The Shapley-Shubik index is a specialization of the Shapley value and is widely applied to evaluate the power distribution in committees drawing binary decisions. It was generalized to decisions with more than two levels of approval both in the input and the output. The corresponding games are...
Persistent link: https://www.econbiz.de/10012842953
A set of jobs need to be served by a server which can serve only one job at a time. Jobs have processing times and incur waiting costs (linear in their waiting time). The jobs share their costs through compensation using monetary transfers. In the first part, we provide an axiomatic...
Persistent link: https://www.econbiz.de/10014026948
Increasing number of studies is focusing attention to constitutional analysis of European Union institutions and distribution of intra-institutional and inter-institutional influence in the European Union decision making. Most of the studies are related to distribution of voting power in the EU...
Persistent link: https://www.econbiz.de/10003721298