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The Hierarchical Structure of the Firm: A Geometric Perspective

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Abstract

This paper incorporates hierarchical structure into the neoclassical theory of the firm. Firms are hierarchical in two respects: the organization of workers in production and the wage structure. The firm�s hierarchy is represented as a sector of a circle, where the radius represents the hierarchy�s height, the width of the sector represents the breadth of the hierarchy at a given height, and the angle of the sector represents span of control. A perfectly competitive firm chooses height and width, as well as capital, in order to maximize profit. We analyze the short run and long run impact of changes in scale economies, input substitutability, and input and output prices on the firm�s hierarchical structure. We find that the firm grows as the specialization of its workers increases or as its output price increases relative to input prices. The effect of changes in scale economies is contingent on the price of output. The model also brings forth an analysis of wage inequality within the firm, which is found to be independent of the firm�s hierarchical organization of workers, and only depends on the firm�s wage schedule.

Suggested Citation

  • Kam Ki Tang & Leopoldo Yanes, 2008. "The Hierarchical Structure of the Firm: A Geometric Perspective," Discussion Papers Series 362, School of Economics, University of Queensland, Australia.
    • Handle: RePEc:qld:uq2004:362
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    File URL: https://economics.uq.edu.au/files/44532/362.pdf
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    1. Garrouste, Pierre & Saussier, Stephane, 2005. "Looking for a theory of the firm: Future challenges," Journal of Economic Behavior & Organization, Elsevier, vol. 58(2), pages 178-199, October.
    2. Lazear, Edward P & Rosen, Sherwin, 1981. "Rank-Order Tournaments as Optimum Labor Contracts," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 841-864, October.
    3. Yingyi Qian, 1994. "Incentives and Loss of Control in an Optimal Hierarchy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(3), pages 527-544.
    4. Dubey, Pradeep & Haimanko, Ori, 2003. "Optimal scrutiny in multi-period promotion tournaments," Games and Economic Behavior, Elsevier, vol. 42(1), pages 1-24, January.
    5. Lloyd S. Shapley & Jorge R. Palamara, 2000. "Simple Games and Authority Structure," UCLA Economics Working Papers 796, UCLA Department of Economics.
    6. Raghuram G. Rajan & Luigi Zingales, 2001. "The Firm as a Dedicated Hierarchy: A Theory of the Origins and Growth of Firms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(3), pages 805-851.
    7. Oliver Hart & John Moore, 2005. "On the Design of Hierarchies: Coordination versus Specialization," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 675-702, August.
    8. Jensen, Michael C. & Meckling, William H., 1976. "Theory of the firm: Managerial behavior, agency costs and ownership structure," Journal of Financial Economics, Elsevier, vol. 3(4), pages 305-360, October.
    9. Grossman, Sanford J & Hart, Oliver D, 1986. "The Costs and Benefits of Ownership: A Theory of Vertical and Lateral Integration," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 691-719, August.
    10. Hu, Xingwei & Shapley, Lloyd S., 2003. "On authority distributions in organizations: equilibrium," Games and Economic Behavior, Elsevier, vol. 45(1), pages 132-152, October.
    11. Hu, Xingwei & Shapley, Lloyd S., 2003. "On authority distributions in organizations: controls," Games and Economic Behavior, Elsevier, vol. 45(1), pages 153-170, October.
    12. Kam Ki Tang & Leopoldo Yanes, 2009. "The hierarchical structure of the firm: a geometric perspective," Prague Economic Papers, Prague University of Economics and Business, vol. 2009(2), pages 156-175.
    13. Oliver E. Williamson, 1967. "Hierarchical Control and Optimum Firm Size," Journal of Political Economy, University of Chicago Press, vol. 75, pages 123-123.
    14. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, December.
    15. Wernerfelt, Birger, 1997. "On the Nature and Scope of the Firm: An Adjustment-Cost Theory," The Journal of Business, University of Chicago Press, vol. 70(4), pages 489-514, October.
    16. repec:ebl:ecbull:v:12:y:2005:i:13:p:1-7 is not listed on IDEAS
    17. Teece, David J., 1980. "Economies of scope and the scope of the enterprise," Journal of Economic Behavior & Organization, Elsevier, vol. 1(3), pages 223-247, September.
    18. Luis Garicano, 2000. "Hierarchies and the Organization of Knowledge in Production," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 874-904, October.
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    Cited by:

    1. Luis Façanha & Marcelo Resende, 2010. "Determinants of hierarchical structure in industrial firms: an empirical study," Economics of Governance, Springer, vol. 11(3), pages 295-308, June.
    2. Kam Ki Tang & Leopoldo Yanes, 2009. "The hierarchical structure of the firm: a geometric perspective," Prague Economic Papers, Prague University of Economics and Business, vol. 2009(2), pages 156-175.
    3. Luis Otávio Façanha & Marcelo Resende, 2006. "Hierarchical Structure in Brazilian Industrial Firms: an Econometric Study," Economics Working Papers ECO2006/1, European University Institute.

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    More about this item

    Keywords

    Theory of the firm; Hierarchical structure; Economies of scale; Input substitutability; Inequality;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • L22 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Organization and Market Structure
    • L23 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Organization of Production

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