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Cooperative provision of indivisible public goods

机译:合作提供不可分割的公共物品

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摘要

A community faces the obligation of providing an indivisible public good that each of its members is able to provide at a certain cost. The solution is to rely on the member who can provide the public good at the lowest cost, with a due compensation from the other members. This problem has been studied in a non-cooperative setting by Kleindorfer and Sertel (J Econ Theory 64:20–34, 1994). They propose an auction mechanism that results in an interval of possible individual contributions whose lower bound is the equal division. Here, instead we take a cooperative stand point by modelling this problem as a cost sharing game that turns out to be a ‘reverse’ airport game whose core is shown to have a regular structure. This enables an easy calculation of the nucleolus that happens to define the upper bound of the Kleindorfer–Sertel interval. The Shapley value instead is not an appropriate solution in this context because it may imply compensations to non-providers.
机译:社区有义务提供其每个成员能够以一定成本提供的不可分割的公共物品。解决方案是依靠能够以最低成本提供公共物品的成员,并从其他成员中获得应有的补偿。克莱因多弗(Kleindorfer)和塞尔特(Sertel)在非合作环境下研究了这个问题(经济理论64:20–34,1994)。他们提出了一种拍卖机制,该拍卖机制导致了可能的个人贡献的间隔,其下限是等分。在这里,我们采取合作的立场,将这个问题建模为一个成本分摊游戏,结果证明这是一个“反向”机场游戏,其核心被证明具有规则的结构。这样可以轻松地计算出确定Kleindorfer–Sertel区间上限的核仁。相反,在这种情况下,Shapley值不是合适的解决方案,因为它可能暗示对非提供者的补偿。

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