Conservation of energy in value theory
Conservation of energy in value theory
复制标题
价值理论中的能量守恒
DOI：
10.1007/bf01198404
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发表时间：
1998
影响因子：
1.2
通讯作者：
K. Ortmann
中科院分区：
文献类型：
--
作者：
K. Ortmann
价值理论的潜在方法被扩展到一种新的特征属性，称为守恒，给出了对潜在的清晰解释。博弈论和物理学之间有许多相似之处。特别地，有一个能量守恒定理类似于经典力学中非常重要的一个定理。此外，shapley值得到了一种新的解释，即对某一平均值的边际贡献，而不是对某一平均值的平均边际贡献。班扎夫指数也可以通过这种方法具有独特的特征。最后，所有结果都扩展到具有有限多种类型玩家连续体的游戏中。
The potential approach of value theory is extended with respect to a new characterizing property called conservation giving a clear interpretation of the potential. Many analogues between game theory and physics are presented. Particularly, there is a theorem of conservation of energy analogous to the highly important one in classical mechanics. Moreover, the Shapley-Value gets a new interpretation as the marginal contribution to a certain average in contrast to that as an average marginal contribution instead. The Banzhaf-Index can also be uniquely characterized by this approach. Finally, all results are extended to games with a continuum of players of finitely many types.