Logit Models from Economics and Other Fields

Abstract

I have also recorded the course of the discovery of the logit by former generations and some highlights of its subsequent development. This material of historical and nostalgic interest is collected in the last chapter, which readers can easily avoid. ix

Hierarchical General Diagnostic Models

“…Logistic models have widespread applications and apart from early disputes about the merits of probit versus logit models (Berkson as cited in Cramer, 2003) have secured a prominent position among models for categorical data. The general diagnostic model is also speci ed as model with a logistic link between an argument, which depends on the random variables involved and some real valued parameters, and the probability of the observed response.…”

Financial Incentives in Disability Insurance in the Netherlands

“…When small probabilities are involved, Cramer (2003Cramer ( , 2004 advocates the use of groups with equal numbers of observations. The point is that if the composition of the groups is based on percentiles of q 1 , then the sample population will be extremely unevenly distributed across different groups, so that the test loses much of its power.…”

Evolutionary games combining two or three pair coordinations on a square lattice

“…In other words, players do not deterministically choose their best response, but they do exponentially favor strategies that promise higher payoffs, under the assumption that their neighbors do not modify their strategies [25][26][27][28][29]. The parameter K can be thought of as a measure of noise affecting the decision-making abilities of individual players.…”

“…Even among these very simple coordination-type games coordination can emerge in different ways. If strategy updates are governed by the logit rule [25][26][27][28][29] and the players are located at the sites of a square lattice, then the number of neutral strategies plays a decisive role [30]: When the number of strategies is below a threshold value (n < n th ), the system undergoes a continuous (Ising-type) order-disorder phase transition as the noise level is increased; otherwise, a first-order phase transition can be observed. Adding a self-dependent component to the elementary coordination game does not necessarily destroy coordination [31].…”