GEM: Generalised Entropy Models for Spatial Choices
We continuously face choices to be made. Think of our choices in residential location, work location or choices of mode and route in transportation networks. Or choices in the leisure spectrum: where to go for summer vacation og what to bring home from the supermarket. They are all examples of choice problems that stakeholders are interested in describing and predicting. To do so they use descrete choice analysis and the results are widely used within for example public policy and planning.
We continuously face choices to be made. Think of our choices in residential location, work location or choices of mode and route in transportation networks. Or choices in the leisure spectrum: where to go for summer vacation og what to bring home from the supermarket. They are all examples of choice problems that stakeholders are interested in describing and predicting. To do so they use descrete choice analysis and the results are widely used within for example public policy and planning.
Mogens Fosgerau has been granted the prestigious Advanced Grant from the European Research Council to develop a new paradigm for statistical models for agent's choices in spatial settings. The models rely on the concept of generalised entropy, known from the scientific fields of physics and ICT and the possibility of specifying models in this way is completely new. It is the exact opposite of classical discrete choice models and makes available a whole universe of new models. Early results suggest that generalised entropy models, or just GEM, will enable the short-comings of the standard models to be overcome.
Mogens explains:
"With this project we will create a new category of models that can be used for describing a wide range of spatial choice problems in the social sciences. Spatial settings often have a very large number of choice alternatives. Discrete choice models are used extensively to make counterfactual predictions based on observations of individual choices. Despite forty years of research, current spatial choice models still have two major generic short-comings that seriously limit their ability to make counterfactual predictions. The new category of models will address these two short-comings."
The first issue is that substitution patterns between choice alternatives are very complex. The new models will allow substitution patterns to be specified in a general and transparent way. The second issue is that so-called endogeneity issues are pervasive, which violates the underlying statistical assumptions of common models and leads to inconsistent results. The new models will enable endogeneity issues to be dealt with in a simple way.
The project develops GEM in three prototypical spatial contexts: equilibrium sorting of households, travel demand modelling, and network route choice. Classical discrete choice models are extensively used for policy analysis and planning. Replacing these by GEM will therefore influence a multitude of decisions across a range of sectors of great societal importance with environmental, economic and welfare consequences that reach far into the future.
A note on the invariance of the distribution of the maximum. Mogens Fosgerau, Per Olov Lindberg, Lars-Göran Mattsson, Jörgen Weibull. Journal of Mathematical Economics, Issue 74, 2018, Page(s) 56-61, ISSN 0304-4068. DOI: 10.1016/j.jmateco.2017.10.005
Route choice, travel time variability, and rational inattention. Gege Jiang, Mogens Fosgerau, Hong K. Lo. Transportation Research Part B: Methodological. https://doi.org/10.1016/j.trb.2019.05.020.
Identification of a class of index models: A topological approach Mogens Fosgerau, Dennis Kristensen (2020) Forthcoming The Econometrics Journal.
Fosgerau, M., Melo, E., de Palma, A., Shum, M. (2020) Discrete Choice and Rational Inattention: A General Equivalence Result. International Economic Review. (Open access)
- Fosgerau, Monardo, de Palma. The Inverse Product Differentiation Logit Model.
- Fosgerau, McFadden. A Theory of the Perturbed Consumer with General Budgets.
- Fosgerau, Kristensen. Identification of a class of index models: A topological approach
- Fosgerau, Nielsen. Similarity, discrete choice and rational inattention
- Fosgerau, Sethi, Weibull. Categorical Screening with Rational Inattention
Researchers
Name | Title | Job responsibilities | |
---|---|---|---|
Search in Name | Search in Title | Search in Job responsibilities | |
Mogens Fosgerau | Professor | Economics of Transportation; Congestion; Information and Entropy; Discrete Choice Econometrics |
Funded by:
Project: Generalised Entropy Models on Spatial Choices (GEM) ERC-2016-ADG 740369Grant provider: The European Research Council - Advanced Grant. Advanced Grants are award to top researchers in Europe to conduct groundbreaking research. Mogens Fosgerau was one out of five Danish researchers granted the prestigious grant in 2017. Period: September 2017 – August 2022Contact
Principal investigator:
Mogens Fosgerau
Professor
Department of Economics
Københavns Universitet
Øster Farimagsgade 5
1553 København K
Telefon:+45 35 33 42 72
E-mail: mogens.fosgerau@econ.ku.dk
Administrator:
Joanna Hagstrøm
Fuldmægtig
Department of Economics
Københavns Universitet
Øster Farimagsgade 5
1553 København K
Telefon: + 45 35 33 71 54
E-mail: jmh@econ.ku.dk
External members:
Name | Affiliation | Telefon | |
---|---|---|---|
Dennis Kristensen | University College London | +44 (0)20 7679 5846 | |
Mads Paulsen | Danmarks Tekniske Universitet | ||
Stefan Mabit | Danmarks Tekniske Universitet | +45 45 25 15 10 | |
Thomas Kjær Rasmussen | Danmarks Tekniske Universitet | +45 45 25 65 62 |
Co-authors:
Navn | Affiliation |
---|---|
André de Palma | ENS |
Emerson Melo | Indiana State |
Dan McFadden | UC Berkeley |
Gege Jiang | |
Hong K. Lo | HKUST |
Julien Monardo | ENS Paris-Saclay &CREST |
Jörgen Weibull | SSE and TSE |
Lars-Göran Mattsson | |
Matt Shum | CalTech |
Per Olov Lindberg | |
Rajiv Sethi | Columbia University, and the Santa Fe Institute |