The Power of Diversity over Large Solution Spaces

  • Authors:
  • Marco LiCalzi;Oktay Surucu

  • Affiliations:
  • Department of Management, Università Ca' Foscari Venezia, 30121 Venezia, Italy;Department of Economics and Finance, Università LUISS Guido Carli, 00198 Roma, Italy

  • Venue:
  • Management Science
  • Year:
  • 2012

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Abstract

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. This paper was accepted by Teck Ho, decision analysis.