262 research outputs found

    Voting Power in the EU Council of Ministers and Fair Decision Making in Distributive Politics

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    We analyze and evaluate the different decision rules describing the Council of Ministers of the EU starting from 1958 up to date. All the existing studies use the Banzhaf index (for binary voting) or the Shapley-Shubik index (for distributive politics). We argue that the nucleolus can be considered an appropriate power measure in distributive situations and an alternative to the Shapley-Shubik index. We then calculate the nucleolus and compare the results of our calculations with the conventional measures. In the second part, we analyze the power of the European citizens as measured by the nucleolus under the egalitarian criterion proposed by Felsenthal and Machover (1998), and characterize the first best situation. Based on these results we propose a methodology for the design of the optimal (fair) decision rules. We perform the optimization exercise for the earlier stages of the EU within a restricted domain of voting rules, and conclude that Germany should receive more than the other three large countries under the optimal voting rule.

    Core Representations of the Standard Fixed Tree Game

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    This paper discusses the core of the game corresponding to the standard fixed tree problem. We introduce the concept of a weighted constrained egalitarian solution. The core of the standard fixed tree game equals the set of all weighted constrained egalitarian solutions. The notion of home-down allocation is developed to create further insight in the local behavior of the weighted constrained egalitarian allocation. A similar and dual approach by the notion of down-home allocations gives us the class of weighted Shapley values. The constrained egalitarian solution is characterized in terms of a cost sharing mechanism.Cooperative game theory;tree games;core;weighted constrained egalitarian solution

    Cost-allocation principles for pipeline capacity and usage

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    This paper applies principles f rom game theory to the problem o f allocating the cost o f a shared facility, such as a pipeline. The theory o f cooperative games s t r ongl y suggest s t hat no method e x i s t s for allocating costs that wi l l achieve all major policy goals. We apply results from the theory o f cooperative games a n d principles o f cost allocation to assess some c o mmo n l y adopted rules for allocating costs and def i ni ng u n i t charges. Mos t notably, the postage-stamp toll is f o u n d to fail a mi ni mal set o f commonly applied principles.cost allocation; pipeline

    Voting Power in the EU Council of Ministers and Fair Decision Making in Distributive Politics

    Get PDF
    We analyze and evaluate the different decision rules describing the Council of Ministers of the EU starting from 1958 up to now. Most of the existing studies use the Banzhaf index (for binary voting) or the Shapley-Shubik index (for distributive politics). We argue in favor of the nucleolus as a power measure in distributive situations and an alternative to the Shapley-Shubik index. We then calculate the nucleolus and compare the results of our calculations with the conventional measures. In the second part, we analyze the power of the European citizens as measured by the nucleolus under the egalitarian criterion proposed by Felsenthal and Machover (1998), and characterize the first best situation. Based on these results we propose a methodology for the de sign of the optimal (fair) decision rules. We perform the optimization exercise for the earlier stages of the EU within a restricted domain of voting rules, and conclude that Germany should receive more than the other three large countries under the optimal voting rule

    Game theory

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    game theory

    Finding and verifying the nucleolus of cooperative games = Kooperatív játékok nukleoluszának kiszámítása és verifikálása

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