Linear Transformation of Products: Games and Economies
Linear Transformation of Products: Games and Economies
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产品的线性转换：游戏和经济
DOI：
10.1023/a:1004601509292
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发表时间：
2000
影响因子：
1.9
通讯作者：
J. Suijs
中科院分区：
文献类型：
--
作者：
J. Timmer;P. Borm;J. Suijs
在本文中，我们介绍的情况下，涉及产品的线性变换（LTP）。LTP情况是生产情况，其中每个生产者都有一个单一的线性转换技术。首先，我们从（合作）博弈论的角度来探讨LTP的情况。我们证明了相应的LTP博弈是完全平衡的。通过扩展LTP的情况下，生产者可能有一个以上的线性变换技术，我们得到一个新的（非负）完全平衡的游戏的特征：每个完全平衡的游戏与非负值是一个游戏对应于这样一个扩展的LTP的情况。第二种处理LTP情况的方法是基于更经济的观点。我们以两种方式将（标准）LTP情况与经济联系起来，并证明经济是标准交换经济（有生产）。这些经济的均衡和合作LTP游戏的核心之间的关系进行了研究。
In this paper, we introduce situations involving the linear transformation of products (LTP). LTP situations are production situations where each producer has a single linear transformation technique. First, we approach LTP situations from a (cooperative) game theoretical point of view. We show that the corresponding LTP games are totally balanced. By extending an LTP situation to one where a producer may have more than one linear transformation technique, we derive a new characterization of (nonnegative) totally balanced games: each totally balanced game with nonnegative values is a game corresponding to such an extended LTP situation. The second approach to LTP situations is based on a more economic point of view. We relate (standard) LTP situations to economies in two ways and we prove that the economies are standard exchange economies (with production). Relations between the equilibria of these economies and the cores of cooperative LTP games are investigated.