Diversity of preferences in an unpredictable environment
The origin of preferences was viewed as related to the dominant eigenvalue of a Leslie matrix modelling reproductive strategies. In a variable environment, however, the coexistence of varying preferences no longer requires optimality, but is identified with the mathematical property of viability: a state of the population is viable if there exists at least one solution starting from it and remaining in the set of constraints until a given time horizon (or forever). The coexistence kernel of two competitors with varying preferences is computed for the case of scalar and 2Â xÂ 2 Leslie matrices, with either measurable or differentiable preferences. The homologue of indifference curves is the regulation map, the correspondence associating the set of viable preferences to a given state of the population. Among these viable trajectories, some are also optimal in the sense of dominance discounted in time. These viable optimal solutions are obtained as specific trajectories in an auxiliary dynamic system, and the associated maximal values constitute one boundary of the viability kernel of this auxiliary system (theorem). Hence, the perpetuation of varying preferences allows the diversity of economic preferences, as shown here using the example of the comparative history of fertility from mid-nineteenth century to nowadays in France and England.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Saint-Pierre, Patrick & Bonneuil, Noel, 2008. "Beyond Optimality : Managing Children, Assets, and Consumption over the Life Cycle," Economics Papers from University Paris Dauphine 123456789/6869, Paris Dauphine University.
- Rogers, Alan R, 1994. "Evolution of Time Preference by Natural Selection," American Economic Review, American Economic Association, vol. 84(3), pages 460-81, June.
- Hansson, Ingemar & Stuart, Charles, 1990. "Malthusian Selection of Preferences," American Economic Review, American Economic Association, vol. 80(3), pages 529-44, June.
- Bonneuil, Noel & Saint-Pierre, Patrick, 2008. "Beyond optimality: Managing children, assets, and consumption over the life cycle," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 227-241, February.
- Larry Samuelson & Arthur J. Robson, 2007. "The Evolution of Intertemporal Preferences," American Economic Review, American Economic Association, vol. 97(2), pages 496-500, May.
- Bonneuil, Noel, 1994. "Capital Accumulation, Inertia of Consumption and Norms of Reproduction," Journal of Population Economics, Springer, vol. 7(1), pages 49-62.
When requesting a correction, please mention this item's handle: RePEc:eee:mateco:v:46:y:2010:i:6:p:965-976. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.