Dynamic game model of endogenous growth with consumption externalities

Hori, Katsuhiko and Shibata, Akihisa (2009): Dynamic game model of endogenous growth with consumption externalities. Published in: Journal of Optimization Theory and Applications , Vol. 145, No. 1 (April 2010): pp. 93-107.

Abstract

This paper introduces consumption externalities into an endogenous growth model of common capital accumulation and characterizes balanced growth equilibria. Contrary to the standard argument in previous studies, we show that the growth rate in a feedback Nash equilibrium can be higher than that in an open-loop Nash equilibrium if agents strongly admire the consumption of others. This result is irrelevant to whether preferences exhibit "keeping up with the Joneses" or "running away from the Joneses".

• Item Type: MPRA Paper
• Language: English
• Keywords: Differential game, Consumption externalities, Endogenous growth, Open-loop Nash equilibrium, Feedback Nash equilibrium
• Subjects: C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C73 - Stochastic and Dynamic Games ; Evolutionary Games ; Repeated Games; H - Public Economics > H2 - Taxation, Subsidies, and Revenue > H23 - Externalities ; Redistributive Effects ; Environmental Taxes and Subsidies; O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O44 - Environment and Growth; Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q2 - Renewable Resources and Conservation > Q20 - General

References

H.S. Gordon. The economic theory of a common property resource. Journal of Political Economy, 62(2):124–142, 1954.

C. Fershtman and S. Nitzan. Dynamic voluntary provision of public goods. European Economic Review, 35:1057–1067, 1991.

D. Levhari and L.J. Mirman. The great fish war: an example using a dynamic Cournot-Nash solution. The Bell Journal of Economics, 11(1):322–334, 1980.

A. Tornell and A. Velasco. The tragedy of the commons and economic growth: why does capital flow from poor to rich countries? The Journal of Political Economy, 100(6):1208–1231, 1992.

A. Shibata. Strategic interactions in a growth model with infrastructure capital. Metroeconomica, 53(4):434–460, 2002.

J. Benhabib and R. Radner. The joint exploitation of a productive asset: a game-theoretic approach. Economic Theory, 2(2):155–190, 1992.

G. Cozzi. R&D cooperation and growth. Journal of Economic Theory, 86(1):17–49, 1999.

E.J. Dockner and G. Sorger. existence and properties of equilibria for a dynamic game on productive assets. Journal of Economic Theory, 71(1):209–227, 1996.

G. Sorger. Markov-perfect Nash equilibria in a class of resource games. Economic Theory, 11(1):79–100, 1998.

D. Vencatachellum. Endogenous growth with strategic interactions. Journal of Economic Dynamics and Control, 23(2):233–254, 1998.

D. Vencatachellum. A differential R&D game: implications for knowledge-based growth models. Journal of Optimization Theory and Applications, 96(1):175–189, 1998.

E.J. Dockner and K. Nishimura. Capital accumulation games with a nonconcave production function. Journal of Economic Behavior and Organization, 57(4):408–420, 2005.

S. Luckraz. Process spillovers and growth. Journal of Optimization Theory and Applications, 2008. online first.

T. Veblen. The theory of the leisure class. Macmillan, New York, 1912.

J.S. Duesenberry. Income, saving, and the theory of consumer behavior. Harvard University Press, Cambridge, MA, 1949.

A.B. Abel. Asset prices under habit formation and catching up with the Joneses. The American Economic Review, 80(2):38–42, 1990.

G.M. Constantinides. Habit formation: a resolution of the equity premium puzzle. The Journal of Political Economy, 98(3):519–543, 1990.

J. Gali. Keeping up with the Joneses: consumption externalities, portfolio choice, and asset prices. Journal of Money, Credit & Banking, 26(1):1–8, 1994.

W.F. Liu and S.J. Turnovsky. Consumption externalities, production externalities, and long-Run macroeconomic efficiency. Journal of Public Economics, 89(5–6):1097–1129, 2005.

L. Ljungqvist and H. Uhlig. Tax policy and aggregate demand management under catching up with the Joneses. The American Economic Review, 90(3):356–366, 2000.

S.J. Turnovsky and G. Monteiro. Consumption externalities, production externalities, and efficient capital accumulation under time non-separable preferences. European Economic Review, 51(2):479–504, 2007.

K. Mino. Growth and bubbles with consumption externalities. Japanese Economic Review, 59(1):33–53, 2008.

G. Kosicki. A test of the relative income hypothesis. Southern Economic Journal, pages 422–434, 1987.

A.E. Clark and A.J. Oswald. Satisfaction and comparison income. Journal of Public Economics, 61(3):359–381, 1996.

R.A. Easterlin. Will raising the incomes of all increase the happiness of all? Journal of Economic Behavior and Organization, 27(1):35–47, 1995.

J.H. Kagel, C. Kim, and D. Moser. Fairness in ultimatum games with asymmetric information and asymmetric payoffs. Games and Economic Behavior, 13(1):100–110, 1996.

D.J. Zizzo and A.J. Oswald. Are people willing to pay to reduce others' incomes? Annales d’Economie et de Statistique, pages 39–65, 2001.

F. Wirl and G. Feichtinger. Intrafamiliar consumption and saving under Altruism and Wealth Considerations. Economica, 69(273):93–111, 2002.

K. Futagami and T. Shinkai. A dynamic game of jealousy and sympathy, 1996. mimeo, Ritsumeikan University.

B. Dupor and W.F. Liu. Jealousy and equilibrium overconsumption. The American Economic Review, 93(1):423–428, 2003.

C.P. Kindleberger. International public goods without international government. The American Economic Review, pages 1–13, 1986.

Le Stern. Criteria of optimality in the infinite-time optimal control problem. Journal of Optimization Theory and Applications, 44(3):497–508, 1984.

A. Seierstad and K. Sydsæter. Optimal control theory with economic applications. Advanced Textbooks in Economics. North Holland, 3 edition, 1987.

E.J. Dockner, S. Jorgensen, N. van Long, and G. Sorger. Differential Games in economics and management science. Cambridge University Press, 2000.

C. Chiarella, M.C. Kemp, N. van Long, and K. Okuguchi. On the economics of international fisheries. International Economic Review, 25(1):85–92, 1984.

S. Tsutsui and K. Mino. Nonlinear strategies in dynamic duopolistic competition with sticky prices. Journal of Economic Theory, 52(1):136–161, 1990.

J. Itaya and K. Shimomura. A dynamic conjectural variations model in the private provision of public goods: a differential game approach. Journal of Public Economics, 81(1):153–172, 2001.

S. Clemhout and H.Y. Wan Jr. Endogenous growth as a dynamic game. In G.J. Olsder, editor, New Trends in Dynamic Games and Applications. Birkhauser, Boston, MA, 1996.