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The determination of the price of capital goods: A differential game approach

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  • Guerrazzi, Marco
  • Candido, Giuseppe

Abstract

In this paper, building upon a q-model of investment with adjustment costs, we address the strategic determinants of the price of newly installed productive capacity. Specifically, we develop a differential game in which a competitive producer of consumption goods deals with a seller of capital goods endowed with market power. From a theoretical perspective, we show that an open-loop Stackelberg equilibrium with non-cooperative features requires the producer of consumption goods to be more impatient than the seller of capital goods. Thereafter, relying on some numerical simulations, we show that our theoretical setting is able to replicate the countercyclical pattern of the relative price of capital goods as well as its negative relationship with the investment-output ratio.

Suggested Citation

  • Guerrazzi, Marco & Candido, Giuseppe, 2023. "The determination of the price of capital goods: A differential game approach," MPRA Paper 119118, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:119118
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    References listed on IDEAS

    as
    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Alejandro Justiniano & Giorgio Primiceri & Andrea Tambalotti, 2011. "Investment Shocks and the Relative Price of Investment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 14(1), pages 101-121, January.
    3. Calvo, Guillermo A, 1978. "On the Time Consistency of Optimal Policy in a Monetary Economy," Econometrica, Econometric Society, vol. 46(6), pages 1411-1428, November.
    4. Jonas D. M. Fisher, 2006. "The Dynamic Effects of Neutral and Investment-Specific Technology Shocks," Journal of Political Economy, University of Chicago Press, vol. 114(3), pages 413-451, June.
    5. Antoni Estevadeordal & Alan M. Taylor, 2013. "Is the Washington Consensus Dead? Growth, Openness, and the Great Liberalization, 1970s–2000s," The Review of Economics and Statistics, MIT Press, vol. 95(5), pages 1669-1690, December.
    6. Piyusha Mutreja & Michael Sposi & B. Ravikumar, 2018. "Capital Goods Trade, Relative Prices and Economic Development," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 27, pages 101-122, January.
    7. Weicheng Lian & Natalija Novta & Evgenia Pugacheva & Yannick Timmer & Petia Topalova, 2020. "The Price of Capital Goods: A Driver of Investment Under Threat," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 68(3), pages 509-549, September.
    8. Jui-Lung Chen, 2018. "Status-quo and Development of Cutting-tool Industry in Taiwan and China," International Business Research, Canadian Center of Science and Education, vol. 11(8), pages 90-96, August.
    9. Niels Joachim Gormsen & Kilian Huber, 2023. "Corporate Discount Rates," NBER Working Papers 31329, National Bureau of Economic Research, Inc.
    10. Eaton, Jonathan & Kortum, Samuel, 2001. "Trade in capital goods," European Economic Review, Elsevier, vol. 45(7), pages 1195-1235.
    11. Russell W. Cooper & John C. Haltiwanger, 2006. "On the Nature of Capital Adjustment Costs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(3), pages 611-633.
    12. Lambertini,Luca, 2018. "Differential Games in Industrial Economics," Cambridge Books, Cambridge University Press, number 9781107164680, October.
    13. Marco Guerrazzi, 2023. "Optimal growth with labor market frictions," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(4), pages 961-987, December.
    14. Bosi, Stefano & Desmarchelier, David, 2019. "Local bifurcations of three and four-dimensional systems: A tractable characterization with economic applications," Mathematical Social Sciences, Elsevier, vol. 97(C), pages 38-50.
    15. Marco Guerrazzi, 2020. "Wage and employment determination in a dynamic insider–outsider model," Evolutionary and Institutional Economics Review, Springer, vol. 17(1), pages 1-23, January.
    16. Jason G. Cummins & Kevin A. Hassett & R. Glenn Hubbard, 1994. "A Reconsideration of Investment Behavior Using Tax Reforms as Natural Experiments," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 25(2), pages 1-74.
    17. Andrei, Daniel & Mann, William & Moyen, Nathalie, 2019. "Why did the q theory of investment start working?," Journal of Financial Economics, Elsevier, vol. 133(2), pages 251-272.
    18. J. P. Gould, 1968. "Adjustment Costs in the Theory of Investment of the Firm," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(1), pages 47-55.
    19. Fuchs, William & Green, Brett & Papanikolaou, Dimitris, 2016. "Adverse selection, slow-moving capital, and misallocation," Journal of Financial Economics, Elsevier, vol. 120(2), pages 286-308.
    20. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    21. Beaudry, Paul & Moura, Alban & Portier, Franck, 2015. "Reexamining the cyclical behavior of the relative price of investment," Economics Letters, Elsevier, vol. 135(C), pages 108-111.
    22. Russell Cooper & Joao Ejarque, 2003. "Financial Frictions and Investment: Requiem in Q," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 710-728, October.
    23. Foley, Duncan K & Sidrauski, Miguel, 1970. "Portfolio Choice, Investment and Growth," American Economic Review, American Economic Association, vol. 60(1), pages 44-63, March.
    24. Kultti, Klaus, 2021. "Monopoly and demand uncertainty," Research in Economics, Elsevier, vol. 75(4), pages 354-364.
    25. Hayashi, Fumio, 1982. "Tobin's Marginal q and Average q: A Neoclassical Interpretation," Econometrica, Econometric Society, vol. 50(1), pages 213-224, January.
    26. Wei Cui, 2022. "Macroeconomic Effects of Delayed Capital Liquidation," Journal of the European Economic Association, European Economic Association, vol. 20(4), pages 1683-1742.
    27. Restuccia, Diego & Urrutia, Carlos, 2001. "Relative prices and investment rates," Journal of Monetary Economics, Elsevier, vol. 47(1), pages 93-121, February.
    28. Yoon-Zi Kim & Keun Lee, 2008. "Sectoral Innovation System and a Technological Catch-up: The Case of the Capital Goods Industry in Korea," Global Economic Review, Taylor & Francis Journals, vol. 37(2), pages 135-155.
    29. Bosi, Stefano & Desmarchelier, David, 2019. "Local bifurcations of three and four-dimensional systems: A tractable characterization with economic applications," Mathematical Social Sciences, Elsevier, vol. 97(C), pages 38-50.
    30. Lawrence H. Summers, 1981. "Taxation and Corporate Investment: A q-Theory Approach," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 12(1), pages 67-140.
    31. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, October.
    32. Alberto Bressan & Yilun Jiang, 2020. "Self-consistent Feedback Stackelberg Equilibria for Infinite Horizon Stochastic Games," Dynamic Games and Applications, Springer, vol. 10(2), pages 328-360, June.
    33. Yoshikawa, Hiroshi, 1980. "On the "q" Theory of Investment," American Economic Review, American Economic Association, vol. 70(4), pages 739-743, September.
    34. Robert E. Lucas & Jr., 1967. "Adjustment Costs and the Theory of Supply," Journal of Political Economy, University of Chicago Press, vol. 75(4), pages 321-321.
    35. Lawrence J. Christiano & Jonas D. M. Fisher, 2003. "Stock Market and Investment Goods Prices: Implications for Macroeconomics," NBER Working Papers 10031, National Bureau of Economic Research, Inc.
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    Cited by:

    1. Guerrazzi, Marco, 2024. "Wage bargaining and capital accumulation: A dynamic version of the monopoly union model," MPRA Paper 121433, University Library of Munich, Germany.

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    More about this item

    Keywords

    Price of capital goods; Tobin's q; Internal and external adjustment costs; Differential games.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies

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