Stability of Spatial Equilibrium
Asymptotic stability of equilibrium is often difficult to know when the number of variables exceeds four, since all eigenvalues of the Jacobian matrix are not analytically solvable. However, we obtain stability conditions for a general class of migration dynamics without computing eigenvalues. We show that a spatial equilibrium is stable in the presence of strong congestion diseconomies, but unstable in the presence of strong agglomeration economies. We also show existence of a stable equilibrium in the case of negligible interregional externalities, which is applicable to club goods, local public goods, and new economic geography. Copyright Blackwell Publishing, Inc. 2004
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Volume (Year): 44 (2004)
Issue (Month): 4 ()
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- T Tabuchi, 1986.
"Existence and Stability of City-Size Distribution in the Gravity and Logit Models,"
Environment and Planning A,
, vol. 18(10), pages 1375-1389, October.
- T Tabuchi, 1986. "Existence and stability of city-size distribution in the gravity and logit models," Environment and Planning A, Pion Ltd, London, vol. 18(10), pages 1375-1389, October.
- Ed Hopkins, 1995.
"Learning, Matching and Aggregation,"
Game Theory and Information
- Ed Hopkins, "undated". "Learning, Matching and Aggregation," Discussion Papers 1996-2, Edinburgh School of Economics, University of Edinburgh.
- Ed Hopkins, 1995. "Learning, Matching and Aggregation," ESE Discussion Papers 2, Edinburgh School of Economics, University of Edinburgh.
- Hopkins, E., 1995. "Learning, Matching and Aggregation," G.R.E.Q.A.M. 95a20, Universite Aix-Marseille III.
- Ed Hopkins, "undated". "Learning, Matching and Aggregation," Department of Economics 1996 : II, Edinburgh School of Economics, University of Edinburgh.
- Ed Hopkins, "undated". "Learning, Matching and Aggregation," ELSE working papers 033, ESRC Centre on Economics Learning and Social Evolution.
- Fujita, Masahisa & Krugman, Paul & Mori, Tomoya, 1999. "On the evolution of hierarchical urban systems1," European Economic Review, Elsevier, vol. 43(2), pages 209-251, February.
- Krugman, Paul, 1993. "On the number and location of cities," European Economic Review, Elsevier, vol. 37(2-3), pages 293-298, April.
- Anderson, James E, 1979. "A Theoretical Foundation for the Gravity Equation," American Economic Review, American Economic Association, vol. 69(1), pages 106-116, March.
- Henderson, J V, 1974.
"The Sizes and Types of Cities,"
American Economic Review,
American Economic Association, vol. 64(4), pages 640-656, September.
- Ginsburgh, Victor & Papageorgiou, Yorgo & Thisse, Jacques-Francois, 1985.
"On existence and stability of spatial equilibria and steady-states,"
Regional Science and Urban Economics,
Elsevier, vol. 15(2), pages 149-158, June.
- Victor Ginsburgh & Yorgo Papageorgiou & Jacques-François Thisse, 1985. "On existence and stability of spatial equilibria and steady-states," ULB Institutional Repository 2013/99282, ULB -- Universite Libre de Bruxelles.
- GINSBURGH, Victor & PAPAGEORGIOU, Yorgo & THISSE, Jacques-François, "undated". "On existence and stability of spatial equilibria and steady-states," CORE Discussion Papers RP 651, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Bergstrand, Jeffrey H, 1985. "The Gravity Equation in International Trade: Some Microeconomic Foundations and Empirical Evidence," The Review of Economics and Statistics, MIT Press, vol. 67(3), pages 474-481, August.
- Friedman, Daniel, 1991. "Evolutionary Games in Economics," Econometrica, Econometric Society, vol. 59(3), pages 637-666, May.
- Bergstrand, Jeffrey H, 1989. "The Generalized Gravity Equation, Monopolistic Competition, and the Factor-Proportions Theory in International Trade," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 143-153, February.
- Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Pure Strategy Nash Equilibrium in a Group Formation Game with Positive Externalities," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 161-182, October.
- T Tabuchi, 1982.
"Optimal distribution of city sizes in a region,"
Environment and Planning A,
Pion Ltd, London, vol. 14(1), pages 21-32, January.
- Zeng, Dao-Zhi, 2002. "Equilibrium stability for a migration model," Regional Science and Urban Economics, Elsevier, vol. 32(1), pages 123-138, January.
- Greenwood, Michael J, 1975. "Research on Internal Migration in the United States: A Survey," Journal of Economic Literature, American Economic Association, vol. 13(2), pages 397-433, June.
- Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Equilibria in a Model with Partial Rivalry," Journal of Economic Theory, Elsevier, vol. 72(1), pages 225-237, January.
- Kanemoto, Yoshitsugu, 1980. "Theories of urban externalities," MPRA Paper 24614, University Library of Munich, Germany.
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