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The stability and breakup of nations: a quantitative analysis. (English) Zbl 1222.91047
Summary: This paper quantitatively analyzes the stability and breakup of nations. The tradeoff between increasing returns in the provision of public goods and the costs of greater cultural heterogeneity mediates agents’ preferences over different geographical configurations, thus determining the likelihood of secessions and unions. After calibrating the model to Europe, we identify the regions prone to secession and the countries most likely to merge. We then estimate the implied monetary gains from EU membership. As a test of the theory, we show that the model can account for the breakup of Yugoslavia and the dynamics of its disintegration. We find that economic differences between the Yugoslav republics determined the order of disintegration, but cultural differences, though small, were key to the country’s instability. The paper also provides empirical support for the use of genetic distances as a proxy for cultural heterogeneity.

MSC:
91B82 Statistical methods; economic indices and measures
91D10 Models of societies, social and urban evolution
91B99 Mathematical economics
Software:
sedaR
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[1] Alesina A., Baqir R., Easterly W. (1999) Public goods and ethnic divisions size of nations. Quarterly Journal of Economics 114: 1243–1284 · doi:10.1162/003355399556269
[2] Alesina A., Baqir R., Hoxby C. (2004) Political jurisdictions in heterogenous communities. Journal of Political Economy 112: 348–396 · doi:10.1086/381474
[3] Alesina A., Devleeschauwer A., Easterly W., Kurlat S., Wacziarg R. (2003) Fractionalization. Journal of Economic Growth 8: 155–194 · Zbl 1047.91571 · doi:10.1023/A:1024471506938
[4] Alesina A., Easterly W., Matuszeski J. (2010) Artificial states. Journal of the European Economic Association 9: 246–277 · doi:10.1111/j.1542-4774.2010.01009.x
[5] Alesina A., Spolaore E. (1997) On the number and size of nations. Quarterly Journal of Economics 112: 1027–1056 · doi:10.1162/003355300555411
[6] Alesina A., Spolaore E. (2003) The size of nations. MIT Press, Cambridge, MA
[7] Alesina A., Spolaore E., Wacziarg R. (2000) Economic integration and political disintegration. American Economic Review 90: 1276–1296 · doi:10.1257/aer.90.5.1276
[8] Alesina A., Wacziarg R. (1998) Openness, country size and government. Journal of Public Economics 69: 305–321 · doi:10.1016/S0047-2727(98)00010-3
[9] Ashraf, Q., & Galor, O. (2007). Cultural assimilation, cultural diffusion and the origin of the wealth of nations. mimeo.
[10] Ashraf, Q., & Galor, O. (2008). Human genetic diversity and comparative economic development. mimeo.
[11] Axelrod R., Bennett D. S. (1993) A landscape theory of aggregation. British Journal of Political Science 23: 211–233 · doi:10.1017/S000712340000973X
[12] Banerjee S., Konishi H., Sömnez T. (2001) Core in a simple coalition formation game. Social Choice and Welfare 18: 135–153 · Zbl 1069.91504 · doi:10.1007/s003550000067
[13] Belle E. M. S., Barbujani G. (2007) Worldwide analysis of multiple microsatellites: Language diversity has a detectable Influence on DNA diversity. American Journal of Physical Anthropology 133: 1137–1146 · doi:10.1002/ajpa.20622
[14] Bogomolnaia A., Jackson M. O. (2002) The stability of hedonic coalition structures. Games and Economic Behavior 38: 201–230 · Zbl 1013.91011 · doi:10.1006/game.2001.0877
[15] Bogomolnaia A., Le Breton M., Savvateev A., Weber S. (2007) Stability under unanimous consent, free mobility and core. International Journal of Game Theory 35: 185–204 · Zbl 1131.91020 · doi:10.1007/s00182-006-0043-4
[16] Bolton P., Roland G. (1997) The breakup of nations: A political economy analysis. Quarterly Journal of Economics 112: 1057–1090 · doi:10.1162/003355300555420
[17] Cavalli-Sforza L. L., Feldman M. W. (2003) The application of molecular genetic approaches to the study of human evolution. Nature Genetic Supplement 33: 266–275 · doi:10.1038/ng1113
[18] Cavalli-Sforza L. L., Menozzi P., Piazza A. (1994) The history and geography of human genes. Princeton University Press, Princeton, NJ · Zbl 0506.62093
[19] Cavalli-Sforza L. L., Piazza A., Menozzi P., Mountain J. (1988) Reconstruction of human evolution: Bringing together genetic, archaeological and linguistic data. Proceedings of the National Academy of Sciences of United States America 85: 6002–6006 · doi:10.1073/pnas.85.16.6002
[20] Chikhi L., Nichols R. A., Barbujani G., Beaumont M. A. (2002) Y genetic data support the neolithic demic diffusion model. Proceedings of the National Academy of Sciences of United States America 99: 11008–11013 · doi:10.1073/pnas.162158799
[21] Collado, L., Ortuño-Ortín, I., & Romeu, A. (2005). Vertical transmission of consumption behavior and the distribution of surnames. mimeo, University de Alicante.
[22] Demange G. (1994) Intermediate preferences and stable coalition structures. Journal of Mathematical Economics 23: 45–58 · Zbl 0791.90078 · doi:10.1016/0304-4068(94)90035-3
[23] Desmet, K., Le Breton, M., Ortuño-Ortín, I., & Weber, S. (2009). The stability and breakup of nations: A quantitative analysis. VIVES Discussion Paper No. 10, KU Leuven.
[24] Desmet K., Ortuño-Ortín I., Weber S. (2009b) Linguistic diversity and redistribution. Journal of the European Economic Association 7: 1291–1318 · doi:10.1162/JEEA.2009.7.6.1291
[25] Drèze J., Greenberg J. (1980) Hedonic coalitions: Optimality and stability. Econometrica 48: 987–1003 · Zbl 0442.90113 · doi:10.2307/1912943
[26] Dyen I., Kruskal J. B., Black P. (1992) An Indo-European classification: A lexicostatistical experiment. Transactions of the American Philosophic Society 82: 1–132
[27] Fearon J. D. (2003) Diversity by country. Journal of Economic Growth 8: 195–222 · doi:10.1023/A:1024419522867
[28] Gans J., Smart M. (1996) Majority voting with single-crossing preferences. Journal of Public Economics 59: 219–237 · doi:10.1016/0047-2727(95)01503-5
[29] Ginsburgh V., Ortuño-Ortín I., Weber S. (2005) Disenfranchisement in linguistically diverse societies: The case of the European Union. Journal of the European Economic Association 3: 946–965 · doi:10.1162/1542476054430799
[30] Ginsburgh V., Weber S. (2011) How many languages do we need? Economics of linguistic diversity. Princeton University Press, Princeton NJ
[31] Giuliano, P., Spilimbergo, A., & Tonon, G. (2006). Genetic, cultural and geographical distances. CEPR Discussion Paper # 5807.
[32] Greenberg J. (1977) Existence of an equilibrium with arbitrary tax schemes for financing local public goods. Journal of Economic Theory 16: 137–150 · Zbl 0405.90009 · doi:10.1016/0022-0531(77)90002-3
[33] Greenberg J., Weber S. (1986) Strong Tiebout equilibrium under restricted preferences domain. Journal of Economic Theory 38: 101–117 · Zbl 0592.90017 · doi:10.1016/0022-0531(86)90090-6
[34] Haak W., Forster P., Bramanti B., Matsumura S., Brandt G., Tänzer M., Villems R., Renfrew C., Gronenborn D., Werner Alt K., Burger J. (2005) Ancient DNA from the first European farmers in 7500-year-old neolithic sites. Science 310: 1016–1018
[35] Hartl D. L., Clark A. G. (1997) Principles of population genetics (3rd ed.). Sinauer, Sunderland, MA
[36] Jéhiel P., Scotchmer S. (2001) Constitutional rules of exclusion in jurisdiction formation. Review of Economic Studies 68: 393–413 · Zbl 0980.91070 · doi:10.1111/1467-937X.00174
[37] Jobling M. A., Hurles M. E., Tyler-Smith C. (2004) Human evolutionary genetics. Origins, people & disease. Garland Science, New York, NY
[38] Jorde L. B. (1985) Human genetic distance studies: Present status and future prospects. Annual Review of Anthropology 14: 343–373 · doi:10.1146/annurev.an.14.100185.002015
[39] La Porta R., Lopez-de-Silanes F., Shleifer A., Vishny R. (1999) The quality of government. Journal of Law, Economics and Organization 15: 222–279 · doi:10.1093/jleo/15.1.222
[40] Le Breton M., Weber S. (1995) Stability of coalition structures and the principle of optimal partitioning. In: Barnett W., Moulin H., Salles M., Schofield N. (eds) Social choice, welfare and ethics. Cambridge University Press, Cambridge · Zbl 0924.90134
[41] Legendre P., Legendre L. (1998) Numerical ecology. Elsevier, New York, NY · Zbl 1033.92036
[42] Mantel N. (1967) The detection of disease clustering and a generalized approach. Cancer Research 27: 209–220
[43] Milchtaich I., Winter E. (2002) Stability and segregation in group formation. Games and Economic Behavior 38: 318–346 · Zbl 1013.91010 · doi:10.1006/game.2001.0878
[44] Sambanis, N. (2006) Globalization, decentralization, and secession: A review of the literature and some conjectures. G. Ranis, D. Cameron, & A. Zinn (Eds.), Globalization and self-determination: Is the nation-state under siege? New York: Routledge.
[45] Simoni L., Calafell F., Pettener D., Bertrantpetit J., Barbujani G. (2000) Geographic patterns of mtDNA diversity in Europe. American Journal of Human Genetics 66: 262–268 · doi:10.1086/302706
[46] Smouse P. E., Long J. C., Sokal R. R. (1986) Multiple regression and correlation extensions of the Mantel test of matrix correspondence. Systematic Zoology 35: 627–632 · doi:10.2307/2413122
[47] Sokal R. R. (1987) Genetic, geographic and linguistic distances in Europe. PNAC 18: 1722–1726
[48] Sokal R. R., Rohlf F. J. (1995) Biometry: The principles and practice of statistics in biological research. W. H. Freeman and Company, New York, NY · Zbl 0554.62094
[49] Sorens J. (2005) The cross-sectional determinants of secessionism in advanced democracies. Comparative Political Studies 38: 304–326 · doi:10.1177/0010414004272538
[50] Spolaore E., Wacziarg R. (2005) Borders and growth. Journal of Economic Growth 10: 331–386 · Zbl 1138.91551 · doi:10.1007/s10887-005-4719-6
[51] Spolaore E., Wacziarg R. (2009) The diffusion of development. Quarterly Journal of Economics 124: 469–530 · Zbl 05660579 · doi:10.1162/qjec.2009.124.2.469
[52] UNU-WIDER. (2005). World Income Inequality Database, Version 2.0a, June 2005. http://www.wider.unu.edu/wiid/wiid.htm .
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