Foundations of the 2N-ary Choice Tree Model

We define the 2N-ary choice tree model for reaction times and choice probabilities in N-alternative preferential choice by specifying a random walk on a 2N-ary tree. It allows for calculation of expected choice response times and expected choice probabilities in closed form and accounts for several preference reversal effects that emerge from the context. Here, we focus on the expected values and on the definition of the transition probabilities that constitute the random walk.