 Presidential Address: Mathematics in economics and econometricsCanadian Journal of Economics, 2011, vol. 44, issue 4, 1052-1068 Abstract: The paper discusses the choices of mathematical approaches in economics and econometrics, in particular, approaches that either (a) aim for a sharp result or (b) use the least restrictive assumptions. It is argued that, while the choice (a) often necessitates strong mathematical assumptions, choice (b) may lead to only partial identification and may require using less familiar mathematical techniques. This is discussed in the context of the problem of defining a probability density: existence may fail in function spaces; even after imposing assumptions that ensure existence, the problem is not well posed. A density function may not exist for economic variables as a consequence of institutional rigidity such as an income supplement. The apparatus of generalized functions provides the general solution to identification and well-posedness of density, but at the cost of less sharp results and greater mathematical complexity. Date: 2011 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:cje:issued:v:44:y:2011:i:4:p:1052-1068 Ordering information: This journal article can be ordered from Access Statistics for this article Canadian Journal of Economics is currently edited by Zhiqi Chen More articles in Canadian Journal of Economics from Canadian Economics Association Canadian Economics Association Prof. Werrner Antweiler, Treasurer UBC Sauder School of Business 2053 Main Mall Vancouver, BC, V6T 1Z2. Contact information at EDIRC. |
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