A Strategic Market Game with Active Bankruptcy
We construct stationary Markov equilibria for an economy with fiat money, one non-durable commodity, countably-many time periods, and a continuum of agents. The total production of commodity remains constant, but individual agents' endowments fluctuate in a random fashion, from period to period. In order to hedge against these random fluctuations, agents find it useful to hold fiat money which they can borrow or deposit at appropriate rates of interest; such activity may take place either at a central bank (which fixes interest rates judiciously) or through a money-market (in which interest rates are determined endogenously). We carry out an equilibrium analysis, based on a careful study of Dynamic Programming equations and on properties of the Invariant Measures for associated optimally-controlled Markov chains. This analysis yields the stationary distribution of wealth across agents, as well as the stationary price (for the commodity) and interest rates (for the borrowing and lending of fiat money). A distinctive feature of our analysis is the incorporation of bankruptcy, both as a real possibility in an individual agent's optimization problem, as well as a determinant of interest rates through appropriate balance equations. These allow a central bank (respectively, a money-market) to announce (respectively, to determine endogenously) interest rates in a way that conserves the total money-supply and controls inflation. General results are provided for the existence of such stationary equilibria, and several explicitly solvable examples are treated in detail.
|Date of creation:||Jun 1998|
|Date of revision:|
|Publication status:||Published in Journal of Mathematical Economics (2000), 34(3): 359-396|
|Contact details of provider:|| Postal: |
Phone: (203) 432-3702
Fax: (203) 432-6167
Web page: http://cowles.econ.yale.edu/
More information through EDIRC
|Order Information:|| Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA|
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.:
- John Geanakoplos & Ioannis Karatzas & Martin Shubik & William D. Sudderth, 1998.
"A Strategic Market Game with Active Bankruptcy,"
Cowles Foundation Discussion Papers
1183, Cowles Foundation for Research in Economics, Yale University.
- Feldman, Mark & Gilles, Christian, 1985. "An expository note on individual risk without aggregate uncertainty," Journal of Economic Theory, Elsevier, vol. 35(1), pages 26-32, February.
- Hohn Miller & Martin Shubik, 1994.
"Some dynamics of a strategic market game with a large number of agents,"
Journal of Economics,
Springer, vol. 60(1), pages 1-28, February.
- John H. Miller & Martin Shubik, 1992. "Some Dynamics of a Strategic Market Game with a Large Number of Agents," Cowles Foundation Discussion Papers 1037, Cowles Foundation for Research in Economics, Yale University.
- Karatzas, Ioannis & Shubik, Martin & Sudderth, William D., 1997.
"A strategic market game with secured lending,"
Journal of Mathematical Economics,
Elsevier, vol. 28(2), pages 207-247, September.
- Ioannis Karatzas & Martin Shubik & William D. Sudderth, 1995. "A Strategic Market Game With Secured Lending," Working Papers 95-03-037, Santa Fe Institute.
- Ioannis Karatzas & Martin Shubik & William D. Sudderth, 1995. "A Strategic Market Game with Secured Lending," Cowles Foundation Discussion Papers 1099, Cowles Foundation for Research in Economics, Yale University.
When requesting a correction, please mention this item's handle: RePEc:cwl:cwldpp:1183. 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: (Glena Ames)
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.