We introduce and solve a new class of static portfolio choice problems, where only the best realized alternative matters. A decision maker must simultaneously choose among independent ranked options, and the better alternatives have a lower chance of panning out. Each choice is costly, and just one option may be exercised. This often emerges in practice: (i) A student must make a costly and simultaneous application to many colleges, and is accepted with smaller chances by the better schools; (ii) An economics department must decide which of several PhD job candidates to fly out, and the better recruits will be available with smaller probability. We show that this problem entails maximizing a submodular function of finite sets --- which is NP hard in general. Still, we develop a marginal improvement algorithm that produces the optimal set in a quadratic number of steps. Applying it, we then show that the optimal choices are less risky than the sequentially optimal ones in Weitzman (1979), but riskier than the best singleton college choices. We also give practical rules of thumb, such as: (i) don't insure, choosing a safety school; instead, take risks; (ii) apply to an upwardly diverse portfolio of schools
To our knowledge, this item is not available for
download. To find whether it is available, there are three
1. Check below under "Related research" whether another version of this item is available online.
2. Check on the provider's web page whether it is in fact available.
3. Perform a search for a similarly titled item that would be available.
|Date of creation:||2004|
|Date of revision:|
|Contact details of provider:|| Postal: |
Web page: http://www.EconomicDynamics.org/society.htm
More information through EDIRC
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.:
- lones smith & hector chade, 2004.
Econometric Society 2004 North American Summer Meetings
64, Econometric Society.
- Hector Chade & Lones Smith, . "Simultaneous Search," Working Papers 2168591, Department of Economics, W. P. Carey School of Business, Arizona State University.
- Hector Chade & Lones Smith, 2006. "Simultaneous Search," Cowles Foundation Discussion Papers 1556, Cowles Foundation for Research in Economics, Yale University.
- Lones Smith & Hector Chade, 2004. "Simultaneous Search," 2004 Meeting Papers 25, Society for Economic Dynamics.
- Hector Chade & Lones Smith, 2005. "Simultaneous Search," NajEcon Working Paper Reviews 172782000000000033, www.najecon.org.
- Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-69, July.
- James Albrecht & Pieter A. Gautier & Susan Vroman, 2006.
"Equilibrium Directed Search with Multiple Applications,"
Review of Economic Studies,
Oxford University Press, vol. 73(4), pages 869-891.
- James Albrecht & Pieter Gautier, 2004. "Equilibrium Directed Search with Multiple Applications," Econometric Society 2004 Latin American Meetings 330, Econometric Society.
- Albrecht, James & Gautier, Pieter A. & Vroman, Susan, 2003. "Equilibrium Directed Search with Multiple Applications," IZA Discussion Papers 719, Institute for the Study of Labor (IZA).
- James Albrecht, Pieter Gautier, & Susan Vroman, 2003. "Equilibrium Directed Search with Multiple Application," Working Papers gueconwpa~03-03-02, Georgetown University, Department of Economics.
- Hector Chade & Greg Lewis & Lones Smith, 2006. "The College Admissions Problem Under Uncertainty," 2006 Meeting Papers 125, Society for Economic Dynamics.
- Kenneth Burdett & Shouyong Shi & Randall Wright, 2001. "Pricing and Matching with Frictions," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 1060-1085, October.
- George J. Stigler, 1961. "The Economics of Information," Journal of Political Economy, University of Chicago Press, vol. 69, pages 213.
- Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
- Weitzman, Martin L, 1979.
"Optimal Search for the Best Alternative,"
Econometric Society, vol. 47(3), pages 641-54, May.
- Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
- Milgrom, P. & Shannon, C., 1991.
"Monotone Comparative Statics,"
11, Stanford - Institute for Thoretical Economics.
- Goldengorin, Boris & Tijssen, Gert A. & Tso, Michael, 1999. "The maximization of submodular functions : old and new proofs for the correctness of the dichotomy algorithm," Research Report 99A17, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
When requesting a correction, please mention this item's handle: RePEc:red:sed004:25. 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: (Christian Zimmermann)
If references are entirely missing, you can add them using this form.