On Consumption Baskets in a Generalized von Neumann Model
推广了森岛通夫扩展的冯·诺伊曼增长模型,证明即使放松“每种商品都进入消费篮子”的假设,模型仍存在平衡增长解,对研究经济增长和资本理论的经济学者有参考价值。
The paper generalizes the von Neuman growth model extended by M. Morishima. Morishima introduced capitalists' consumption and workers' savings into the model. But his proof of the existence of the balanced-growth equilibrium crucially depends upon the assumption that every good must be in consumption baskets for some price level. In other words, he assumed that there is no distinction between capital goods and consumption goods. It is shown that the model has a solution even if the assumption is relaxed. A variant of Gale- Nikaido-Debreu lemma is used to prove the main results. Copyright 1987 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.