Construction of a theory of non-exponential growth and itsapplications

在现有的经济增长理论中，人们认为只有当数量、质量或种类呈指数级增长时，持续增长才是可能的。这项研究表明，如果满足以下三个条件：(I)新商品不断推出，(Ii)消费者对每种商品的边际效用弹性随着该商品的消耗量而下降，以及(Iii)每种商品的价格随着时间的推移而下降，那么在没有任何变量指数增长的情况下，持续增长实际上是可能的。

In existing theories of economic growth, it is considered that sustained growth is possible only when quantity, quality, or variety increases exponentially. This study shows that sustained growth is in fact possible without the exponential increase of any variable if the following three conditions are satisfied : (i)new goods are introduced continually, (ii)the elasticity of marginal utility of consumer for each variety of good decreases with the amount of consumption of that good, and (iii)the price of each variety of goods declines over time.