The power of diversity over large solution spaces
We consider a team of agents with limited problem-solving ability facing a disjunctive task over a large solution space. We provide sufficient conditions for the following four statements. First, two heads are better than one: a team of two agents will solve the problem even if neither agent alone would be able to. Second, teaming up does not guarantee success: if the agents are not sufficiently creative, even a team of arbitrary size may fail to solve the problem. Third, "defendit numerus": when the agent's problem-solving ability is adversely affected by the complexity of the solution space, the solution of the problem requires only a mild increase in the size of the team. Fourth, groupthink impairs the power of diversity: if agents' abilities are positively correlated, a larger team is necessary to solve the problem.
|Date of creation:||Apr 2011|
|Date of revision:||Sep 2011|
|Contact details of provider:|| Postal: San Giobbe, Cannaregio 873, 30121 Venezia|
Phone: +39 0412348721
Fax: +39 0412348701
Web page: http://www.unive.it/dip.management
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.:
- Rubenstein, A., 1991.
"On Price Recognition and Computational Complexity in a Monopolistic Model,"
35-91, Tel Aviv.
- Rubinstein, Ariel, 1993. "On Price Recognition and Computational Complexity in a Monopolistic Model," Journal of Political Economy, University of Chicago Press, vol. 101(3), pages 473-84, June.
- Kocher, Martin G. & Sutter, Matthias, 2005.
"The decision maker matters: Individual versus group behaviour in experimental beauty-contest games,"
Munich Reprints in Economics
18213, University of Munich, Department of Economics.
- Martin G. Kocher & Matthias Sutter, 2005. "The Decision Maker Matters: Individual Versus Group Behaviour in Experimental Beauty-Contest Games," Economic Journal, Royal Economic Society, vol. 115(500), pages 200-223, 01.
- Martin G. Kocher & Matthias Sutter, 2004. "The Decision Maker Matters: Individual versus Group Behaviour in Experimental Beauty-Contest Games," Papers on Strategic Interaction 2004-09, Max Planck Institute of Economics, Strategic Interaction Group.
- Hong, Lu & Page, Scott E., 2001. "Problem Solving by Heterogeneous Agents," Journal of Economic Theory, Elsevier, vol. 97(1), pages 123-163, March.
- Davis, James H., 1992. "Some compelling intuitions about group consensus decisions, theoretical and empirical research, and interpersonal aggregation phenomena: Selected examples 1950-1990," Organizational Behavior and Human Decision Processes, Elsevier, vol. 52(1), pages 3-38, June.
- Alan S. Blinder & John Morgan, 2008. "Do Monetary Policy Committees Need Leaders? A Report on an Experiment," American Economic Review, American Economic Association, vol. 98(2), pages 224-29, May.
- Laura J. Kornish & Karl T. Ulrich, 2011. "Opportunity Spaces in Innovation: Empirical Analysis of Large Samples of Ideas," Management Science, INFORMS, vol. 57(1), pages 107-128, January.
- David J. Cooper & John H. Kagel, 2005. "Are Two Heads Better Than One? Team versus Individual Play in Signaling Games," American Economic Review, American Economic Association, vol. 95(3), pages 477-509, June.
- Bénabou, Roland, 2009.
"Groupthink: Collective Delusions in Organizations and Markets,"
CEPR Discussion Papers
7193, C.E.P.R. Discussion Papers.
- Roland Bénabou, 2009. "Groupthink: Collective Delusions in Organizations and Markets," NBER Working Papers 14764, National Bureau of Economic Research, Inc.
- Benabou, Roland, 2013. "Groupthink: Collective Delusions in Organizations and Markets," IZA Discussion Papers 7322, Institute for the Study of Labor (IZA).
- Jonathon N. Cummings, 2004. "Work Groups, Structural Diversity, and Knowledge Sharing in a Global Organization," Management Science, INFORMS, vol. 50(3), pages 352-364, March.
- Gary Bornstein & Tamar Kugler & Anthony Ziegelmeyer, 2002. "Individual and Group Decisions in the Centipede Game: Are Groups More “Rational” Players?," Discussion Paper Series dp298, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- Lazear, Edward P, 1999.
"Globalisation and the Market for Team-Mates,"
Royal Economic Society, vol. 109(454), pages C15-40, March.
- Laughlin, Patrick R. & Bonner, Bryan L. & Miner, Andrew G., 2002. "Groups perform better than the best individuals on Letters-to-Numbers problems," Organizational Behavior and Human Decision Processes, Elsevier, vol. 88(2), pages 605-620, July.
- Laughlin, Patrick R., 1999. "Collective Induction: Twelve Postulates," Organizational Behavior and Human Decision Processes, Elsevier, vol. 80(1), pages 50-69, October.
- Blinder, Alan S & Morgan, John, 2005. "Are Two Heads Better than One? Monetary Policy by Committee," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(5), pages 789-811, October.
- Argote, Linda & Ingram, Paul & Levine, John M. & Moreland, Richard L., 2000. "Knowledge Transfer in Organizations: Learning from the Experience of Others," Organizational Behavior and Human Decision Processes, Elsevier, vol. 82(1), pages 1-8, May.
- Paulus, Paul B. & Yang, Huei-Chuan, 2000. "Idea Generation in Groups: A Basis for Creativity in Organizations," Organizational Behavior and Human Decision Processes, Elsevier, vol. 82(1), pages 76-87, May.
- Kristina Dahlin & L. Weingart & P. Hinds, 2005. "Team diversity and information use," Post-Print hal-00480406, HAL.
- Karan Girotra & Christian Terwiesch & Karl T. Ulrich, 2010. "Idea Generation and the Quality of the Best Idea," Management Science, INFORMS, vol. 56(4), pages 591-605, April.
When requesting a correction, please mention this item's handle: RePEc:vnm:wpdman:1. 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: (Marco LiCalzi)
If references are entirely missing, you can add them using this form.