How large should a complex system be? An application in organizational teams

This article investigates when a growing team benefits from being divided and how complex interactions among workers and management impact this decision. The proposed model—a modification of Kauffman's NK model—has the property that team performance decreases as the size of the team increases. Analytical results and computer simulations show how team size, the amount of supervision, worker performance, interaction among employees, relationships between management and labor, and leadership skill affect when a team should be split. © 2007 Wiley Periodicals, Inc. Complexity 12: 54–70, 2007

[1]  P. Bolton,et al.  The firm as a communication network , 1994 .

[2]  Daniel A. Levinthal,et al.  Landscape Design: Designing for Local Action in Complex Worlds , 1999 .

[3]  Sheldon H. Jacobson,et al.  Global optima results for the Kauffman NK model , 2006, Math. Program..

[4]  M. Mazumdar,et al.  Avoiding Complexity Catastrophe in Coevolutionary Pockets: Strategies for Rugged Landscapes , 1999 .

[5]  A. V. D. Ven,et al.  Determinants of Coordination Modes within Organizations , 1976 .

[6]  Daniel A. Levinthal.  Adaptation on rugged landscapes , 1997 .

[7]  Daniel Solow,et al.  Mathematical Models for Studying the Value of Motivational Leadership in Teams , 2005, Comput. Math. Organ. Theory.

[8]  George L. Vairaktarakis,et al.  Managerial Insights into the E ® ects of Interactions on Replacing Members of a Team , 2001 .

[9]  Daniel Solow,et al.  Mathematical Models for Studying the Value of Cooperational Leadership in Team Replacement , 2003, Comput. Math. Organ. Theory.

[10]  O. Williamson.  Hierarchical Control and Optimum Firm Size , 1967, Journal of Political Economy.

[11]  James D. Thompson.  Organizations in Action , 1967 .

[12]  D. Eden,et al.  Effects of crew composition on crew performance: Does the whole equal the sum of its parts? , 1985 .

[13]  R. Durrett,et al.  Rigorous results for the N K model , 2003 .

[14]  R. Saavedra,et al.  Complex interdependence in task-performing groups , 1993 .

[15]  Stuart A. Kauffman,et al.  ORIGINS OF ORDER , 2019, Origins of Order.

[16]  Y. Qian.  Incentives and Loss of Control in an Optimal Hierarchy , 1994 .

[17]  T. Mitchell,et al.  Individual and group goals when workers are interdependent: Effects on task strategies and performance. , 1990 .

[18]  Michael Keren,et al.  The Internal Organization of the Firm and the Shape of Average Costs , 1983 .

[19]  Michael Keren,et al.  The Optimum Span of Control in a Pure Hierarchy , 1979 .

[20]  G. Calvo,et al.  Supervision, Loss of Control, and the Optimum Size of the Firm , 1978, Journal of Political Economy.

[21]  Jan W. Rivkin.  Imitation of Complex Strategies , 2000 .

[22]  A. Burnetas,et al.  Understanding and attenuating the complexity catastrophe in Kauffman'sN K model of genome evolution , 1999 .

[23]  Jan W. Rivkin,et al.  Balancing Search and Stability: Interdependencies Among Elements of Organizational Design , 2003, Manag. Sci..

[24]  S. Kauffman,et al.  Towards a general theory of adaptive walks on rugged landscapes. , 1987, Journal of theoretical biology.