论文标题

G3MS:普遍的平均做市商

G3Ms:Generalized Mean Market Makers

论文作者

Zanger, Daniel Z.

论文摘要

在分散的财务(DEFI)设置中,我们提出了一个新的恒定功能营销商(CFMMS)的参数化家族,我们根据广义均值称为广义平均营销商(G3MS)。 G3M是算术平均值和几何平均CFMM模型之间的中间,G3MS融合为特殊情况。我们还根据所谓的广义F均值(称为广义F-均值做市商(GF3MS))提出了G3MS的扩展。我们还表明,G3M具有某些比单独的算术平均CFMM或几何平均CFMM所表现出的特性可取的特性。

In the Decentralized Finance (DeFi) setting, we present a new parametrized family of Constant Function Market Makers (CFMMs) which we call the Generalized Mean Market Makers (G3Ms), based on the generalized means. The G3Ms are intermediate between the Arithmetic Mean and Geometric Mean CFMM models, which G3Ms incorporate as special cases. We also present an extension of the G3Ms, based on the so-called Generalized f-Means, called Generalized f-Mean Market Makers (Gf3Ms). We show in addition that the G3Ms possess certain properties preferable to those exhibited by either the Arithmetic Mean CFMM or the Geometric Mean CFMM alone.

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