Balancedness of Real-Time Hierarchical Resource Allocation
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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|Date of creation:||Mar 2004|
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- Timothy van Zandt, 1999. "Real-Time Decentralized Information Processing as a Model of Organizations with Boundedly Rational Agents," Review of Economic Studies, Oxford University Press, vol. 66(3), pages 633-658.
- Radner, Roy, 1993. "The Organization of Decentralized Information Processing," Econometrica, Econometric Society, vol. 61(5), pages 1109-46, September.
- Patrick Bolton & Mathias Dewatripont, 1994. "The Firm as a Communication Network," The Quarterly Journal of Economics, Oxford University Press, vol. 109(4), pages 809-839.
- 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).
- 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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