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Social networks and interactions in cities. (English) Zbl 1291.91179
Based on graph-theoretical concepts, the authors study a population of agents who have social roles and locations in a geographic space. In the model, there are two locations called center and periphery. Given a cost of commuting from the periphery, each agent has to decide the frequency he wants to visit the center. Each visit results in an interaction, and the aggregate number of visits becomes a measure of interactivity. It is shown that the agents who are more central in the social network or are located closer to the center will choose higher levels of interactions in equilibrium. Hence, the overall interactivity will rise with the density of links in the social network and with the degree to which agents are clustered in physical space. It is also shown that the market equilibrium is not optimal because of social externalities by looking at the relevant subsidy. This paper provides a mechanism by considering both social mismatch and spatial mismatch.

MSC:
91D25 Spatial models in sociology
91D30 Social networks; opinion dynamics
05C90 Applications of graph theory
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[1] Akerlof, G., Social distance and social decisions, Econometrica, 65, 1005-1027, (1997)
[2] Argazi, M.; Henderson, V., Networking off Madison avenue, Rev. Econ. Stud., 75, 1011-1038, (2008) · Zbl 1144.90428
[3] Ballester, C.; Calvó-Armengol, A.; Zenou, Y., Whoʼs who in networks. wanted: the key player, Econometrica, 74, 1403-1417, (2006) · Zbl 1138.91590
[4] Battu, H.; Seaman, P.; Zenou, Y., Job contact networks and the ethnic minorities, Lab. Econ., 18, 48-56, (2011)
[5] Bayer, P.; Ross, S. L.; Topa, G., Place of work and place of residence: informal hiring networks and labor market outcomes, J. Polit. Economy, 116, 1150-1196, (2008)
[6] Beckmann, M. J., Spatial equilibrium in the dispersed city, (Papageorgiou, G. J., Mathematical Land Use Theory, (1976), Lexington Books), 117-125 · Zbl 0329.90014
[7] Benabou, R., Workings of a city: location, education, and production, Quart. J. Econ., 108, 619-652, (1993)
[8] Benabou, R., Equity and efficiency in human capital investment: the local connection, Rev. Econ. Stud., 63, 237-264, (1996) · Zbl 0856.90040
[9] Bonacich, P., Power and centrality: A family of measures, Amer. J. Sociol., 92, 1170-1182, (1987)
[10] Bondonio, D.; Greenbaum, R. T., Do local tax incentives affect economic growth? what mean impact miss in the analysis of enterprise zone policies, Reg. Sci. Urban Econ., 37, 121-136, (2007)
[11] Bramoullé, Y.; Kranton, R., Public goods in networks, J. Econ. Theory, 135, 478-494, (2007) · Zbl 1186.91099
[12] Bramoullé, Y.; Kranton, R.; DʼAmours, M., Strategic interaction and networks, Amer. Econ. Rev., (2013), forthcoming
[13] Brueckner, J. K., Friendship networks, J. Reg. Sci., 46, 847-865, (2006)
[14] Brueckner, J. K.; Largey, A. G., Social interactions and urban sprawl, J. Urban Econ., 64, 18-34, (2008)
[15] Brueckner, J. K.; Thisse, J.-F.; Zenou, Y., Local labor markets, job matching and urban location, Int. Econ. Rev., 43, 155-171, (2002)
[16] Busso, M.; Gregory, J.; Kline, P., Assessing the incidence and efficiency of a prominent place based policy, Amer. Econ. Rev., 103, 897-947, (2013)
[17] Cabrales, A.; Calvó-Armengol, A.; Zenou, Y., Social interactions and spillovers, Games Econ. Behav., 72, 339-360, (2011) · Zbl 1229.91248
[18] Calvó-Armengol, A., Job contact networks, J. Econ. Theory, 115, 191-206, (2004) · Zbl 1063.91055
[19] Calvó-Armengol, A.; Jackson, M. O., The effects of social networks on employment and inequality, Amer. Econ. Rev., 94, 426-454, (2004)
[20] Calvó-Armengol, A.; Patacchini, E.; Zenou, Y., Peer effects and social networks in education, Rev. Econ. Stud., 76, 1239-1267, (2009) · Zbl 1187.91163
[21] Calvó-Armengol, A.; Zenou, Y., Job matching, social network and word-of-mouth communication, J. Urban Econ., 57, 500-522, (2005)
[22] De Bartolome, C., Equilibrium and inefficiency in a community model with peer group effects, J. Polit. Economy, 98, 110-133, (1990)
[23] Durlauf, S. N., A theory of persistent income inequality, J. Econ. Growth, 1, 75-93, (1996) · Zbl 1038.91535
[24] Epple, D.; Romano, R. E., Competition between private and public schools, vouchers, and peer-group effects, Amer. Econ. Rev., 88, 33-62, (1998)
[25] Fernandez, R. M.; Fernandez-Mateo, I., Networks, race, and hiring, Amer. Soc. Rev., 71, 42-71, (2006)
[26] Frijters, P.; Shields, M. A.; Wheatley Price, S., Job search methods and their success: A comparison of immigrants and natives in the UK, Econ. J., 115, F359-F376, (2005)
[27] Fujita, M.; Thisse, J.-F., Economics of agglomeration. cities, industrial location, and regional growth, (2002), Cambridge University Press Cambridge
[28] Fujita, M.; Ogawa, H., Equilibrium land use patterns in a nonmonocentric city, J. Reg. Sci., 20, 455-475, (1980)
[29] Gaspar, J.; Glaeser, E. L., Information technology and the future of cities, J. Urban Econ., 43, 136-156, (1997) · Zbl 0920.90036
[30] Gobillon, L.; Selod, H.; Zenou, Y., The mechanisms of spatial mismatch, Urban Stud., 44, 2401-2427, (2007)
[31] Ghiglino, C.; Nocco, A., When veblen meets krugman, (2012), University of Essex, manuscript · Zbl 1404.91234
[32] Glaeser, E. L., Learning in cities, J. Urban Econ., 46, 254-277, (1999)
[33] Glaeser, E. L.; Sacerdote, B.; Scheinkman, J. A., Crime and social interactions, Quart. J. Econ., 111, 508-548, (1996)
[34] Glaeser, E. L.; Scheinkman, J. A., Measuring social interactions, (Durlauf, S.; Young, P., Social Dynamics, (2001), MIT Press), 83-131
[35] Goyal, S., Connections: an introduction to the economics of networks, (2007), Princeton University Press Princeton · Zbl 1138.91005
[36] Granovetter, M. S., Placement as brokerage: information problems in the labor market for rehabilitated workers, (Vandergoot, D.; Worrall, J. D., Placement in Rehabilitation: A Career Development Perspective, (1979), University Park Press), 83-101
[37] Grauwin, S.; Goffette-Nagot, F.; Jensen, P., Dynamic models of residential segregation: an analytical solution, J. Public Econ., 96, 124-141, (2012)
[38] Ham, J. C.; Swenson, C.; Imrohoroglu, A.; Song, H., Government programs can improve local labor markets: evidence from state enterprise zones and federal empowerment zones and federal enterprise community, J. Public Econ., 95, 779-797, (2011)
[39] Hellerstein, J. K.; McInerney, M.; Neumark, D., Neighbors and coworkers: the importance of residential labor market networks, J. Lab. Econ., 29, 659-695, (2011)
[40] Helsley, R. W.; Strange, W. C., Knowledge barter in cities, J. Urban Econ., 56, 327-345, (2004)
[41] Helsley, R. W.; Strange, W. C., Urban interactions and spatial structure, J. Econ. Geogr., 7, 119-138, (2007)
[42] Ihlanfeldt, K. R., A primer on spatial mismatch within urban labor markets, (Arnott, R.; McMillen, D., A Companion to Urban Economics, (2006), Blackwell Publishing), 404-417
[43] Ihlanfeldt, K. R.; Sjoquist, D., The spatial mismatch hypothesis: A review of recent studies and their implications for welfare reform, Housing Pol. Debate, 9, 849-892, (1998)
[44] Ioannides, Y. M., From neighborhoods to nations: the economics of social interactions, (2012), Princeton University Press Princeton
[45] Ioannides, Y. M.; Loury, D. L., Job information networks, neighborhood effects, and inequality, J. Econ. Lit., 42, 1056-1093, (2004)
[46] Ioannides, Y. M.; Soetevent, A. R., Wages and employment in a random social network with arbitrary degree distribution, Amer. Econ. Rev. Pap. Proc., 96, 270-274, (2006)
[47] Jackson, M. O., Social and economic networks, (2008), Princeton University Press Princeton · Zbl 1149.91051
[48] Jackson, M. O.; Wolinsky, A., A strategic model of social and economic networks, J. Econ. Theory, 71, 44-74, (1996) · Zbl 0871.90144
[49] Jackson, M. O.; Zenou, Y., Games on networks, (Young, P.; Zamir, S., Handbook of Game Theory, vol. 4, (2013), Elsevier Science), forthcoming
[50] Jacobs, J., The economy of cities, (1969), Vintage New York
[51] Jaffe, A. B.; Trajtenberg, M.; Henderson, R., Geographic localization of knowledge spillovers as evidenced by patent citations, Quart. J. Econ., 108, 577-598, (1993)
[52] Johnson, C.; Gilles, R. P., Spatial social networks, Rev. Econ. Design, 5, 273-299, (2000)
[53] Kain, J., Housing segregation, negro employment, and metropolitan decentralization, Quart. J. Econ., 82, 175-197, (1968)
[54] Katz, L., A new status index derived from sociometric analysis, Psychometrika, 18, 39-43, (1953) · Zbl 0053.27606
[55] Katz, L. F.; Kling, J. R.; Liebman, J. B., Moving to opportunity in Boston: early results of a randomized mobility experiment, Quart. J. Econ., 116, 607-654, (2001) · Zbl 1062.91597
[56] Kling, J. R.; Ludwig, J.; Katz, L. F., Neighborhood effects on crime for female and male youth: evidence from a randomized housing voucher experiment, Quart. J. Econ., 120, 87-130, (2005)
[57] König, M.; Tessone, C.; Zenou, Y., Nestedness in networks: A theoretical model and some applications, Theor. Econ., (2013), forthcoming
[58] Liu, X.; Patacchini, E.; Zenou, Y.; Lee, L.-F., Criminal networks: who is the key player?, (2013), Stockholm University, manuscript
[59] Lucas, R. E., On the mechanics of economic development, J. Monet. Econ., 22, 3-42, (1988)
[60] Lucas, R. E.; Rossi-Hansberg, E., On the internal structure of cities, Econometrica, 70, 1445-1476, (2002) · Zbl 1141.91659
[61] Marshall, A., Principles of economics, (1980), Macmillan London · JFM 22.0241.03
[62] Monderer, D.; Shapley, L. S., Potential games, Games Econ. Behav., 14, 124-143, (1996) · Zbl 0862.90137
[63] Moretti, E., Workersʼ education, spillovers, and productivity: evidence from plant-level production functions, Amer. Econ. Rev., 94, 656-690, (2004)
[64] Mossay, P.; Picard, P. M., On spatial equilibria in a social interaction model, J. Econ. Theory, 146, 2455-2477, (2011) · Zbl 1229.91275
[65] Mossay, P.; Picard, P. M., Spatial segregation and urban structure, (2012), University of Luxemburg, manuscript
[66] Papke, L., Tax policy and urban development: evidence from the indiana enterprise zone program, J. Public Econ., 54, 37-49, (1994)
[67] Patacchini, E.; Zenou, Y., Ethnic networks and employment outcomes, Reg. Sci. Urban Econ., 42, 938-949, (2012)
[68] Picard, P. M.; Tabuchi, T., Self-organized agglomerations and transport costs, Econ. Theory, 42, 565-589, (2010) · Zbl 1182.91143
[69] Pugh, M., Barriers to work: the spatial divide between jobs and welfare recipients in metropolitan areas, (1998), The Brookings Institution, manuscript
[70] Putnam, R. D., Bowling alone: the collapse and revival of American community, (1993), Simon and Schuster New York
[71] Romer, P. M., Increasing returns and long-run growth, J. Polit. Economy, 94, 1002-1037, (1986)
[72] Romer, P. M., Endogenous technological change, J. Polit. Economy, 98, S71-S102, (1990)
[73] Rosenbaum, E.; Harris, L. E., Residential mobility and opportunities: early impacts of the moving to opportunity demonstration program in Chicago, Housing Pol. Debate, 12, 321-346, (2001)
[74] Rosenthal, S. S.; Strange, W. C., Geography, industrial organization, and agglomeration, Rev. Econ. Statist., 85, 377-393, (2003)
[75] Rosenthal, S. S.; Strange, W. C., The attenuation of human capital externalities, J. Urban Econ., 64, 373-389, (2008)
[76] Schelling, T. C., Dynamic models of segregation, J. Math. Soc., 1, 143-186, (1971) · Zbl 1355.91061
[77] Topa, G., Social interactions, local spillovers and unemployment, Rev. Econ. Stud., 68, 261-295, (2001) · Zbl 0980.91068
[78] Topa, G., Labor markets and referrals, (Benhabib, J.; Bisin, A.; Jackson, M. O., Handbook of Social Economics, vol. 1B, (2011), Elsevier Science), 1193-1221
[79] Verdier, T.; Zenou, Y., Racial beliefs, location and the causes of crime, Int. Econ. Rev., 45, 727-756, (2004)
[80] Wasserman, S.; Faust, K., Social network analysis. methods and applications, (1994), Cambridge University Press Cambridge
[81] Wial, H., Getting a good job: mobility in a segmented labor market, Ind. Relat., 30, 396-416, (1991)
[82] Wilson, W. J., When work disappears: the world of the new urban poor, (1996), Knopf New York
[83] Zenou, Y., The spatial mismatch hypothesis, (Blume, L.; Durlauf, S. N., The New Palgrave, A Dictionary of Economics, (2008), MacMillan Press)
[84] Zenou, Y., Urban labor economics, (2009), Cambridge University Press Cambridge
[85] Zenou, Y., Spatial versus social mismatch, J. Urban Econ., 74, 113-132, (2013)
[86] Zhang, J., Residential segregation in an all-integrationist world, J. Econ. Behav. Organ., 54, 533-550, (2004)
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