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Span of control, transaction costs and the structure of production chains

Author

Listed:
  • Kikuchi, Tomoo

    (Lee Kuan Yew School of Public Policy, National University of Singapore)

  • Nishimura, Kazuo

    (Research Institute of Economics and Business Administration, Kobe University)

  • Stachurski, John

    (Research School of Economics, Australian National University)

Abstract

This paper builds coordination costs, transaction costs and other aspects of the theory of the firm into a production chain model with an infinite number of ex ante identical producers. The equilibrium determines prices, allocations of productive tasks across firms, firm sizes, and the number of active firms. These prices and allocations match several stylized facts on firm boundaries, vertical integration, and division of the value chain.

Suggested Citation

  • Kikuchi, Tomoo & Nishimura, Kazuo & Stachurski, John, 2018. "Span of control, transaction costs and the structure of production chains," Theoretical Economics, Econometric Society, vol. 13(2), May.
    • Handle: RePEc:the:publsh:2376
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    References listed on IDEAS

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    1. Costinot, Arnaud, 2009. "On the origins of comparative advantage," Journal of International Economics, Elsevier, vol. 77(2), pages 255-264, April.
    2. Hart, Oliver & Moore, John, 1990. "Property Rights and the Nature of the Firm," Journal of Political Economy, University of Chicago Press, vol. 98(6), pages 1119-1158, December.
    3. Michael Kremer, 1993. "The O-Ring Theory of Economic Development," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(3), pages 551-575.
    4. Pol Antras & Davin Chor & Thibault Fally & Russell Hillberry, 2012. "Measuring the Upstreamness of Production and Trade Flows," American Economic Review, American Economic Association, vol. 102(3), pages 412-416, May.
    5. Meagher, Kieron J., 2003. "Generalizing incentives and loss of control in an optimal hierarchy: the role of information technology," Economics Letters, Elsevier, vol. 78(2), pages 273-280, February.
    6. Paul Seabright, 2010. "The Company of Strangers: A Natural History of Economic Life Revised Edition," Economics Books, Princeton University Press, edition 1, number 9169.
    7. Gary S. Becker & Kevin M. Murphy, 1994. "The Division of Labor, Coordination Costs, and Knowledge," NBER Chapters, in: Human Capital: A Theoretical and Empirical Analysis with Special Reference to Education, Third Edition, pages 299-322, National Bureau of Economic Research, Inc.
    8. Gene M. Grossman & Esteban Rossi‐Hansberg, 2012. "Task Trade Between Similar Countries," Econometrica, Econometric Society, vol. 80(2), pages 593-629, March.
    9. Esteban Rossi-Hansberg & Mark L. J. Wright, 2007. "Establishment Size Dynamics in the Aggregate Economy," American Economic Review, American Economic Association, vol. 97(5), pages 1639-1666, December.
    10. Fally, Thibault & Hillberry, Russell, 2018. "A Coasian model of international production chains," Journal of International Economics, Elsevier, vol. 114(C), pages 299-315.
    11. Timothy Bresnahan & Jonathan Levin, 2012. "Vertical Integration and Market Structure [The Handbook of Organizational Economics]," Introductory Chapters,, Princeton University Press.
    12. Blume, Lawrence E. & Easley, David & Kleinberg, Jon & Tardos, Éva, 2009. "Trading networks with price-setting agents," Games and Economic Behavior, Elsevier, vol. 67(1), pages 36-50, September.
    13. McAfee, R Preston & McMillan, John, 1995. "Organizational Diseconomies of Scale," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(3), pages 399-426, Fall.
    14. Lorenzo Caliendo & Esteban Rossi-Hansberg, 2012. "The Impact of Trade on Organization and Productivity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(3), pages 1393-1467.
    15. Holmstrom, Bengt & Milgrom, Paul, 1994. "The Firm as an Incentive System," American Economic Review, American Economic Association, vol. 84(4), pages 972-991, September.
    16. Robert E. Lucas Jr., 1978. "On the Size Distribution of Business Firms," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 508-523, Autumn.
    17. Arnaud Costinot & Jonathan Vogel & Su Wang, 2013. "An Elementary Theory of Global Supply Chains," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(1), pages 109-144.
    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.
    19. Weintraub, Gabriel Y. & Benkard, C. Lanier & Van Roy, Benjamin, 2011. "Industry dynamics: Foundations for models with an infinite number of firms," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1965-1994, September.
    20. Geanakoplos, John & Milgrom, Paul, 1991. "A theory of hierarchies based on limited managerial attention," Journal of the Japanese and International Economies, Elsevier, vol. 5(3), pages 205-225, September.
    21. Benveniste, L M & Scheinkman, J A, 1979. "On the Differentiability of the Value Function in Dynamic Models of Economics," Econometrica, Econometric Society, vol. 47(3), pages 727-732, May.
    22. 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.
    23. Philippe Aghion & Richard Holden, 2011. "Incomplete Contracts and the Theory of the Firm: What Have We Learned over the Past 25 Years?," Journal of Economic Perspectives, American Economic Association, vol. 25(2), pages 181-197, Spring.
    24. Erzo G. J. Luttmer, 2007. "Selection, Growth, and the Size Distribution of Firms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(3), pages 1103-1144.
    25. Klein, Benjamin & Crawford, Robert G & Alchian, Armen A, 1978. "Vertical Integration, Appropriable Rents, and the Competitive Contracting Process," Journal of Law and Economics, University of Chicago Press, vol. 21(2), pages 297-326, October.
    26. Robert E. Lucas & Esteban Rossi-Hansberg, 2002. "On the Internal Structure of Cities," Econometrica, Econometric Society, vol. 70(4), pages 1445-1476, July.
    27. Gene M. Grossman & Elhanan Helpman, 2002. "Integration versus Outsourcing in Industry Equilibrium," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(1), pages 85-120.
    28. repec:bla:jemstr:v:4:y:1995:i:3:p:399-426:a is not listed on IDEAS
    29. Hsu, Wen-Tai & Holmes, Thomas J. & Morgan, Frank, 2014. "Optimal city hierarchy: A dynamic programming approach to central place theory," Journal of Economic Theory, Elsevier, vol. 154(C), pages 245-273.
    30. Luis Garicano & Esteban Rossi-Hansberg, 2006. "Organization and Inequality in a Knowledge Economy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(4), pages 1383-1435.
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    Citations

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    Cited by:

    1. Fally, Thibault & Hillberry, Russell, 2018. "A Coasian model of international production chains," Journal of International Economics, Elsevier, vol. 114(C), pages 299-315.
    2. Laura Alfaro & Pol Antràs & Davin Chor & Paola Conconi, 2019. "Internalizing Global Value Chains: A Firm-Level Analysis," Journal of Political Economy, University of Chicago Press, vol. 127(2), pages 508-559.
    3. Chor, Davin & Manova, Kalina & Yu, Zhihong, 2021. "Growing like China: Firm performance and global production line position," Journal of International Economics, Elsevier, vol. 130(C).
    4. Haiwen Zhou, 2021. "Fixed Costs and the Division of Labor," Annals of Economics and Finance, Society for AEF, vol. 22(1), pages 63-81, May.
    5. Karabay, Bilgehan, 2022. "A new dimension in global value chains: Control vs. delegation in input procurement," Journal of International Economics, Elsevier, vol. 137(C).
    6. Antrà s, Pol & Chor, Davin, 2021. "Global Value Chains," CEPR Discussion Papers 15908, C.E.P.R. Discussion Papers.
    7. Antrà s, Pol & Chor, Davin, 2017. "On the Measurement of Upstreamness and Downstreamness in Global Value Chains," CEPR Discussion Papers 12549, C.E.P.R. Discussion Papers.
    8. Yu, Meng & Zhang, Junnan, 2019. "Equilibrium in production chains with multiple upstream partners," Journal of Mathematical Economics, Elsevier, vol. 83(C), pages 1-10.
    9. Meng Yu & Junnan Zhang, 2019. "Equilibrium in Production Chains with Multiple Upstream Partners," Papers 1908.08208, arXiv.org.
    10. Hansen, Benjamin & Miller, Keaton & Weber, Caroline, 2022. "Vertical integration and production inefficiency in the presence of a gross receipts tax," Journal of Public Economics, Elsevier, vol. 212(C).
    11. Kikuchi, Tomoo & Nishimura, Kazuo & Stachurski, John & Zhang, Junnan, 2021. "Coase meets Bellman: Dynamic programming for production networks," Journal of Economic Theory, Elsevier, vol. 196(C).

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    More about this item

    Keywords

    Span of control; firm boundaries; fragmentation; distribution of firms;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L16 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Industrial Organization and Macroeconomics; Macroeconomic Industrial Structure

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