How to use Rosen's normalised equilibrium to enforce a socially desirable Pareto efficient solution
We consider a situation, in which a regulator believes that constraining a complex good created jointly by competitive agents, is socially desirable. Individual levels of outputs that generate the constrained amount of the externality can be computed as a Pareto efficient solution of the agents' joint utility maximisation problem. However, generically, a Pareto efficient solution is not an equilibrium. We suggest the regulator calculates a Nash-Rosen coupled-constraint equilibrium (or a “generalised” Nash equilibrium) and uses the coupled-constraint Lagrange multiplier to formulate a threat, under which the agents will play a decoupled Nash game. An equilibrium of this game will possibly coincide with the Pareto efficient solution. We focus on situations when the constraints are saturated and examine, under which conditions a match between an equilibrium and a Pareto solution is possible. We illustrate our findings using a model for a coordination problem, in which firms' outputs depend on each other and where the output levels are important for the regulator.
|Date of creation:||Dec 2009|
|Date of revision:||Jan 2011|
|Contact details of provider:|| Postal: |
Web page: http://www.lameta.univ-montp1.fr/
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:lam:wpaper:09-20. 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: (Patricia Modat)
If references are entirely missing, you can add them using this form.