This work is a continuation of Mallahi-Karai and Diederich (2019), where the authors introduced and studied the cube model as a multi-dimensional extension of the diffusion model in binary choice model. The aim of this note is to introduce and study the disk model, which can be viewed as a variation of the model introduced in the aforementioned paper. Here, we consider a choice situation with three alternatives, one of which is a status quo alternative. After studying this model, we will discuss the question of equivalence between the disk model and the cube model in two-dimensions and highlight connections to the approach by Smith (2016).

这项工作是Mallahi-Karai和Diederich（2019）的延续，作者在其中介绍和研究了立方模型，将其作为二元选择模型中扩散模型的多维扩展。本注释的目的是介绍和研究磁盘模型，可以将其视为上述论文中引入的模型的变体。在这里，我们考虑具有三种选择的选择情况，其中一种是现状选择。在研究了该模型之后，我们将在二维上讨论磁盘模型和立方体模型之间的等价问题，并重点介绍与Smith（2016）的方法的联系。