Recurrence and Eigenfunction Methods for Non-Trivial Models of Discrete Binary Choice
نویسندگان
چکیده
Understanding how systems relax to equilibrium is a core theme of statistical physics, especially in economics, where are known be subject extrinsic noise not included simple agent-based models. In models binary choice—ones much more complicated than Kirman’s model ant recruitment—such relaxation dynamics become difficult determine analytically and require solving three-term recurrence relation the eigendecomposition stochastic process. this paper, we derive concise closed-form solution linear relation. Its has traditionally relied on cumbersome continued fractions, instead employ algebraic approach that leverages properties lower-triangular tridiagonal matrices express terms using finite set orthogonal polynomials. We pay special attention power series coefficients Heun functions, which also important fields such as quantum mechanics general relativity, well choice studied here. then apply find equations describing steady-state behavior social through eigendecomposition. This application showcases potential our an off-the-shelf previously been reported, allowing for easy identification eigenspectra one-dimensional, one-step, continuous-time Markov processes.
منابع مشابه
Identification of Discrete Choice Models for Bundles and Binary Games∗
We study nonparametric identification of single-agent discrete choice models for bundles and binary games of complete information. We provide conditions under which we can recover both the interaction effects and the distributions of potentially correlated unobservables across goods in single-agent models and across players in games. We establish similarities in identification between these two...
متن کاملBinary Choice Models with Discrete Regressors: Identification and Misspecification
In semiparametric binary response models, support conditions on the regressors are required to guarantee point identification of the parameter of interest. For example, one regressor is usually assumed to have continuous support conditional on the other regressors. In some instances, such conditions have precluded the use of these models; in others, practitioners have failed to consider whether...
متن کاملNon–trivial Intertwined Second–order Recurrence Relations
In a recently published book, it is shown that there are essentially seven different non– trivial systems of three intertwined second–order recurrence relations, but the solutions are not given. In this note we present explicit solutions to all seven systems. AMS Classification: 11B39, 11B37
متن کاملDiscrete Choice Models for Non-Intrusive Quality Assessment
Non-intrusive signal quality assessment in general, and its application to speech signal processing, in particular, builds extensively upon statistical regression models. Commonly, the raw preference scores used for fitting these models belong to a categorical scale. Averaging the scores over a number of test subjects results in smooth, close-to-continuous ratings, thus justifying the use of re...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Entropy
سال: 2023
ISSN: ['1099-4300']
DOI: https://doi.org/10.3390/e25070996