Advanced Search
MyIDEAS: Login

Inertia in binary choices: Continuity breaking and big-bang bifurcation points

Contents:

Author Info

  • Gardini, Laura
  • Merlone, Ugo
  • Tramontana, Fabio

Abstract

In several situations the consequences of an actor’s choices are also affected by the actions of other actors. This is one of the aspects which determines the complexity of social systems and make them behave as a whole. Systems characterized by such a trade-off between individual choices and collective behavior are ubiquitous and have been studied extensively in different fields. Schelling, in his seminal papers (1973, 1978), provided an interesting analysis of binary choice games with externalities. In this work we analyze some aspects of actor decisions. Specifically we shall see what are the consequences of assuming that switching decisions may also depend on how close to each other the payoffs are. By making explicit some of these aspects we are able to analyze the dynamics of the population where the actor decision process is made more explicit and also to characterize several interesting mathematical aspects which contribute to the complexity of the resulting dynamics. As we shall see, several kinds of dynamic behaviors may occur, characterized by cyclic behaviors (attracting cycles of any period may occur), also associated with new kinds of bifurcations, called big-bang bifurcation points, leading to the so-called period increment bifurcation structure or to the period adding bifurcation structure.

Download Info

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.
File URL: http://www.sciencedirect.com/science/article/pii/S0167268111000904
Download Restriction: Full text for ScienceDirect subscribers only

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.

Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Behavior & Organization.

Volume (Year): 80 (2011)
Issue (Month): 1 ()
Pages: 153-167

as in new window
Handle: RePEc:eee:jeborg:v:80:y:2011:i:1:p:153-167

Contact details of provider:
Web page: http://www.elsevier.com/locate/jebo

Related research

Keywords: Binary choices; Switching systems; Piecewise smooth systems; Border collision bifurcations big-bang bifurcation;

Find related papers by JEL classification:

References

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.:
as in new window
  1. Bischi, Gian-Italo & Merlone, Ugo, 2010. "Binary choices in small and large groups: A unified model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(4), pages 843-853.
  2. Galam, Serge, 2003. "Modelling rumors: the no plane Pentagon French hoax case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 571-580.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Ingrid Kubin & Laura Gardini, 2012. " Border Collision Bifurcations in Boom and Bust Cycles," Department of Economics Working Papers wuwp137, Vienna University of Economics, Department of Economics.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:eee:jeborg:v:80:y:2011:i:1:p:153-167

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wendy Shamier).

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.