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Indeterminacy in a matching model of money with productive government expenditure

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  • Chu, Angus C.
  • Liao, Chih-Hsing
  • Liu, Xiangbo
  • Zhang, Mengbo

Abstract

This study explores the effects of inflation on economic growth in a monetary search-and-matching model with productive government expenditure. Our results can be summarized as follows. When labor intensity in the production function is below a threshold value, the economy features a unique balanced growth equilibrium in which inflation reduces economic growth. When labor intensity in the production function is above a threshold value, the economy may feature multiple balanced growth paths. Multiple equilibria (i.e., global indeterminacy) arise when the matching probability in the decentralized market is sufficiently large. In this case, the high-growth equilibrium features a negative effect of inflation on economic growth whereas the low-growth equilibrium features a U-shaped effect of inflation on growth. Furthermore, under a sufficiently large matching probability in the decentralized market, both equilibria are locally determinate, and hence, either equilibrium may emerge in the economy.
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  • Chu, Angus C. & Liao, Chih-Hsing & Liu, Xiangbo & Zhang, Mengbo, 2021. "Indeterminacy in a matching model of money with productive government expenditure," International Review of Economics & Finance, Elsevier, vol. 71(C), pages 497-516.
    • Handle: RePEc:eee:reveco:v:71:y:2021:i:c:p:497-516
    DOI: 10.1016/j.iref.2020.08.010
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    1. Goenka, Aditya, 1994. "Fiscal Rules and Extrinsic Uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(3), pages 401-416, May.
    2. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
    3. Ricardo Lagos & Randall Wright, 2005. "A Unified Framework for Monetary Theory and Policy Analysis," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 463-484, June.
    4. Park, Hyun & Philippopoulos, Apostolis, 2004. "Indeterminacy and fiscal policies in a growing economy," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 645-660, January.
    5. Michael U. Krause & Thomas A. Lubik, 2010. "Instability and indeterminacy in a simple search and matching model," Economic Quarterly, Federal Reserve Bank of Richmond, vol. 96(3Q), pages 259-272.
    6. Feng Dong & Pengfei Wang & Yi Wen, 2016. "Credit search and credit cycles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(2), pages 215-239, February.
    7. Roger E. A. Farmer, 1997. "Money in a real business cycle model," Proceedings, Federal Reserve Bank of Cleveland, issue Nov, pages 568-623.
    8. Berentsen, Aleksander & Rojas Breu, Mariana & Shi, Shouyong, 2012. "Liquidity, innovation and growth," Journal of Monetary Economics, Elsevier, vol. 59(8), pages 721-737.
    9. Juin-Jen Chang & Wen-Ya Chang & Ching-Chong Lai & Ping Wang, 2007. "Equilibrium Dynamics in an Endogenous Growth Model of Money and Banking," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(7), pages 1683-1710, October.
    10. Aditya Goenka & Odile Poulsen, 2005. "Indeterminacy and labor augmenting externalities," Journal of Economics, Springer, vol. 86(1), pages 143-166, December.
    11. Guo, Jang-Ting & Harrison, Sharon G., 2004. "Balanced-budget rules and macroeconomic (in)stability," Journal of Economic Theory, Elsevier, vol. 119(2), pages 357-363, December.
    12. Schmitt-Grohe, Stephanie & Uribe, Martin, 1997. "Balanced-Budget Rules, Distortionary Taxes, and Aggregate Instability," Journal of Political Economy, University of Chicago Press, vol. 105(5), pages 976-1000, October.
    13. Theodore Palivos & Chong K. Yip & Junxi Zhang, 2003. "Transitional Dynamics and Indeterminacy of Equilibria in an Endogenous Growth Model with a Public Input," Review of Development Economics, Wiley Blackwell, vol. 7(1), pages 86-98, February.
    14. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    15. Shi, Shouyong, 1999. "Search, inflation and capital accumulation," Journal of Monetary Economics, Elsevier, vol. 44(1), pages 81-103, August.
    16. Waller, Christopher J., 2011. "Random Matching And Money In The Neoclassical Growth Model: Some Analytical Results," Macroeconomic Dynamics, Cambridge University Press, vol. 15(S2), pages 293-312, September.
    17. Wen, Yi, 2001. "Understanding self-fulfilling rational expectations equilibria in real business cycle models," Journal of Economic Dynamics and Control, Elsevier, vol. 25(8), pages 1221-1240, August.
    18. Berentsen, Aleksander & Camera, Gabriele & Waller, Christopher, 2007. "Money, credit and banking," Journal of Economic Theory, Elsevier, vol. 135(1), pages 171-195, July.
    19. repec:dau:papers:123456789/7354 is not listed on IDEAS
    20. Goenka, Aditya & Prechac, Christophe, 2006. "Stabilizing sunspots," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 544-555, August.
    21. Wai‐Ming Ho & Jinli Zeng & Jie Zhang, 2007. "Inflation Taxation and Welfare with Externalities and Leisure," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(1), pages 105-131, February.
    22. Kazuo Mino, 2017. "Sunspot-Driven Business Cycles: An Overview," KIER Working Papers 973, Kyoto University, Institute of Economic Research.
    23. Benhabib, Jess & Farmer, Roger E. A., 1996. "Indeterminacy and sector-specific externalities," Journal of Monetary Economics, Elsevier, vol. 37(3), pages 421-443, June.
    24. Gomme, Paul, 1993. "Money and growth revisited : Measuring the costs of inflation in an endogenous growth model," Journal of Monetary Economics, Elsevier, vol. 32(1), pages 51-77, August.
    25. Jang‐Ting Guo & Sharon G. Harrison, 2008. "Useful Government Spending and Macroeconomic (In)stability under Balanced‐Budget Rules," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(3), pages 383-397, June.
    26. Barro, Robert J, 1990. "Government Spending in a Simple Model of Endogenous Growth," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 103-126, October.
    27. Williamson, Stephen & Wright, Randall, 2010. "New Monetarist Economics: Models," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 2, pages 25-96, Elsevier.
    28. Aruoba, S. Boragan & Waller, Christopher J. & Wright, Randall, 2011. "Money and capital," Journal of Monetary Economics, Elsevier, vol. 58(2), pages 98-116, March.
    29. Valerie R. Bencivenga & Gabriele Camera, 2011. "Banking in a Matching Model of Money and Capital," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(s2), pages 449-476, October.
    30. Jean, Kasie & Rabinovich, Stanislav & Wright, Randall, 2010. "On the multiplicity of monetary equilibria: Green-Zhou meets Lagos-Wright," Journal of Economic Theory, Elsevier, vol. 145(1), pages 392-401, January.
    31. Miao, Jianjun & Wang, Pengfei, 2014. "Sectoral bubbles, misallocation, and endogenous growth," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 153-163.
    32. Been-Lon Chen & Mei Hsu & Chia-Hui Lu, 2008. "Inflation and Growth: Impatience and a Qualitative Equivalence," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(6), pages 1309-1323, September.
    33. Ho, Wai-Hong, 2017. "Financial market globalization and growth with interdependent countries," Journal of Mathematical Economics, Elsevier, vol. 69(C), pages 12-21.
    34. Giammarioli, Nicola, 2003. "Indeterminacy and search theory," Working Paper Series 271, European Central Bank.
    35. Wang, Pengfei & Wen, Yi, 2008. "Imperfect competition and indeterminacy of aggregate output," Journal of Economic Theory, Elsevier, vol. 143(1), pages 519-540, November.
    36. Jonathan Chiu & Cesaire Meh & Randall Wright, 2017. "Innovation And Growth With Financial, And Other, Frictions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58, pages 95-125, February.
    37. Farmer Roger E. A. & Guo Jang-Ting, 1994. "Real Business Cycles and the Animal Spirits Hypothesis," Journal of Economic Theory, Elsevier, vol. 63(1), pages 42-72, June.
    38. Chu, Angus C. & Kan, Kamhon & Lai, Ching-Chong & Liao, Chih-Hsing, 2014. "Money, random matching and endogenous growth: A quantitative analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 41(C), pages 173-187.
    39. Wen, Yi, 1998. "Capacity Utilization under Increasing Returns to Scale," Journal of Economic Theory, Elsevier, vol. 81(1), pages 7-36, July.
    40. Benhabib, Jess & Farmer, Roger E.A., 1999. "Indeterminacy and sunspots in macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 6, pages 387-448, Elsevier.
    41. Chen, Shu-Hua & Guo, Jang-Ting, 2008. "Velocity of money, equilibrium (in)determinacy and endogenous growth," Journal of Macroeconomics, Elsevier, vol. 30(3), pages 1085-1096, September.
    42. Menner Martin, 2006. "A Search-Theoretic Monetary Business Cycle Model with Capital Formation," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(1), pages 1-36, November.
    43. Jun-Ichi Itaya & Kazuo Mino, 2003. "Inflation, Transaction Costs and Indeterminacy in Monetary Economies with Endogenous Growth," Economica, London School of Economics and Political Science, vol. 70(279), pages 451-470, August.
    44. Wang, Ping & Yip, Chong K, 1992. "Alternative Approaches to Money and Growth," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 24(4), pages 553-562, November.
    45. Dotsey, Michael & Ireland, Peter, 1996. "The welfare cost of inflation in general equilibrium," Journal of Monetary Economics, Elsevier, vol. 37(1), pages 29-47, February.
    46. Nigar Hashimzade & Salvador Ortigueira, 2005. "Endogenous Business Cycles With Frictional Labour Markets," Economic Journal, Royal Economic Society, vol. 115(502), pages 161-175, March.
    47. Angus C. Chu & Guido Cozzi, 2014. "R&D And Economic Growth In A Cash‐In‐Advance Economy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 507-524, May.
    48. Ching-chong Lai & Chi-ting Chin, 2010. "(In)determinacy, increasing returns, and the optimality of the Friedman rule in an endogenously growing open economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(1), pages 69-100, July.
    49. Gomme, Paul, 1993. "Money and growth revisited : Measuring the costs of inflation in an endogenous growth model," Journal of Monetary Economics, Elsevier, vol. 32(1), pages 51-77, August.
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    More about this item

    Keywords

    Economic growth; Inflation; Money; Random matching; Indeterminacy;
    All these keywords.

    JEL classification:

    • E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)
    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General
    • O42 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Monetary Growth Models

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