{"title":"Theory of Imagination in Economic Games","authors":"Michael Balkowiec","doi":"10.2139/ssrn.3843374","DOIUrl":null,"url":null,"abstract":"The paper presents a more complete theory of utility. In order to do so, the paper begins with Jon Von Neumann's original method of correspondences found in Theory of Games. Then by means of different correspondences between objects we define the entire economic game space as a pseudo-Euclidean space-time continuum. Using Green's method for ellipsoids of variable densities, we are then able to create a utility function which contains a removable hole discontinuity at the origin, and is continuous for returns bounded from negative one to infinity.","PeriodicalId":399171,"journal":{"name":"Philosophy of Science eJournal","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philosophy of Science eJournal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.3843374","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The paper presents a more complete theory of utility. In order to do so, the paper begins with Jon Von Neumann's original method of correspondences found in Theory of Games. Then by means of different correspondences between objects we define the entire economic game space as a pseudo-Euclidean space-time continuum. Using Green's method for ellipsoids of variable densities, we are then able to create a utility function which contains a removable hole discontinuity at the origin, and is continuous for returns bounded from negative one to infinity.
本文提出了一个较为完整的效用理论。为了做到这一点,本文从Jon Von Neumann在《博弈论》中发现的原始对应方法开始。然后,通过对象之间的不同对应关系,我们将整个经济博弈空间定义为伪欧几里得时空连续体。对于变密度椭球,使用格林方法,我们可以创建一个效用函数,它在原点包含一个可移动的孔不连续,并且在从- 1到∞的范围内是连续的。