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Balancedness of Real-Time Hierarchical Resource Allocation

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  • Van Zandt, Timothy

Abstract

We take the hierarchical resource allocation model in Van Zandt (2003a) and derive a simpler, reduced-form model of balanced hierarchies. This model uses continuous approximations; we derive bounds on the errors due to these approximations. We then give results that indicate that optimal hierarchies in the general model of are approximately balanced. In particular, we show that aggregation should be balanced if the hierarchical structure is balanced, and we show the hierarchical structure should be balanced if aggregation is balanced.

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Bibliographic Info

Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 4276.

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Date of creation: Mar 2004
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Handle: RePEc:cpr:ceprdp:4276

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Related research

Keywords: bounded rationality; decentralization; hierarchies; real-time computation; resource allocation;

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References

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  1. Radner, Roy, 1993. "The Organization of Decentralized Information Processing," Econometrica, Econometric Society, vol. 61(5), pages 1109-46, September.
  2. Mathias Dewatripont & Patrick Bolton, 1996. "The firm as a communication network," ULB Institutional Repository 2013/9597, ULB -- Universite Libre de Bruxelles.
  3. Van Zandt, Timothy, 1999. "Real-Time Decentralized Information Processing as a Model of Organizations with Boundedly Rational Agents," Review of Economic Studies, Wiley Blackwell, vol. 66(3), pages 633-58, July.
  4. VAN ZANDT, Timothy, 1995. "Continuous Approximations in the Study of Hierarchies," CORE Discussion Papers 1995002, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Timothy Van Zandt, 1997. "Real-Time Hierarchical Resource Allocation," Discussion Papers 1231, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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Cited by:
  1. Cho, Myeonghwan, 2010. "Efficient structure of organization with heterogeneous workers," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1125-1139, November.
  2. Andrea Patacconi, 2005. "Optimal Coordination in Hierarchies," Economics Series Working Papers 238, University of Oxford, Department of Economics.
  3. Van Zandt, Timothy, 2003. "Real-Time Hierarchical Resource Allocation with Quadratic Costs," CEPR Discussion Papers 4022, C.E.P.R. Discussion Papers.
  4. Van Zandt, Timothy, 2004. "Structure and Returns to Scale of Real-Time Hierarchical Resource Allocation," CEPR Discussion Papers 4277, C.E.P.R. Discussion Papers.

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