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A Dynamic Theory of Fidelity Networks with an Application to the Spread of HIV/AIDS

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We study the dynamic stability of fidelity networks, which are networks that form in a mating economy of agents of two types (say men and women), where each agent desires direct links with opposite type agents, while engaging in multiple partnerships is considered an act of infidelity. Infidelity is punished more severely for women than for men. We consider two stochastic processes in which agents form and sever links over time based on the reward from doing so, but may also take non-beneficial actions with small probability. In the first process, an agent who invests more time in a relationship makes it stronger and harder to break by his/her partner; in the second, such an agent is perceived as weak. Under the first process, only egalitarian pairwise stable networks (in which all agents have the same number of partners) are visited in the long run, while under the second, only anti-egalitarian pairwise stable networks (in which all women are matched to a small number of men) are. Next, we apply these results to find that under the first process, HIV/AIDS is equally prevalent among men and women, while under the second, women bear a greater burden. The key message is that anti-female discrimination does not necessarily lead to higher HIV/AIDS prevalence among women in the short run, but it does in the long run.

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Paper provided by Brown University, Department of Economics in its series Working Papers with number 2009-2.

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Date of creation: 2009
Handle: RePEc:bro:econwp:2009-2
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Department of Economics, Brown University, Providence, RI 02912

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  1. Dutta, B. & van den Nouweland, C.G.A.M. & Tijs, S.H., 1998. "Link formation in cooperative situations," Other publications TiSEM fb302bdf-f6ab-4909-99d5-5, Tilburg University, School of Economics and Management.
  2. Harris, Christopher & Howitt, Peter & Vickers, John & Aghion, Philippe, 2001. "Competition, Imitation and Growth with Step-by-Step Innovation," Scholarly Articles 12375013, Harvard University Department of Economics.
  3. M. Kandori & G. Mailath & R. Rob, 1999. "Learning, Mutation and Long Run Equilibria in Games," Levine's Working Paper Archive 500, David K. Levine.
  4. Echenique, Federico & Oviedo, Jorge, 2006. "A theory of stability in many-to-many matching markets," Theoretical Economics, Econometric Society, vol. 1(2), pages 233-273, June.
  5. Glen Ellison, 2010. "Learning, Local Interaction, and Coordination," Levine's Working Paper Archive 391, David K. Levine.
  6. Noeldecke,Georg & Samuelson,Larry, "undated". "An evolutionary analysis of backward and forward induction," Discussion Paper Serie B 228, University of Bonn, Germany.
  7. Bloch, Francis & Jackson, Matthew, 2004. "The Formation of Networks with Transfers among Players," Working Papers 1194, California Institute of Technology, Division of the Humanities and Social Sciences.
  8. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
  9. Galor, Oded, 2004. "The Demographic Transition and the Emergence of Sustained Economic Growth," CEPR Discussion Papers 4714, C.E.P.R. Discussion Papers.
  10. Page, Frank Jr. & Wooders, Myrna H. & Kamat, Samir, 2005. "Networks and farsighted stability," Journal of Economic Theory, Elsevier, vol. 120(2), pages 257-269, February.
  11. Volij, Oscar & Ben-Shoham, Asaf & Serrano, Roberto, 2004. "The Evolution of Exchange," Staff General Research Papers Archive 10247, Iowa State University, Department of Economics.
  12. Michihiro Kandori & Roberto Serrano & Oscar Volij, 2004. "Decentralized Trade, Random Utility and the Evolution of Social Welfare," Working Papers 2004-06, Brown University, Department of Economics.
  13. Helpman, E., 1992. "Innovation, Imitation and intellectual Property Rights," Harvard Institute of Economic Research Working Papers 1597, Harvard - Institute of Economic Research.
  14. Roberto Serrano & Oscar Volij, 2008. "Mistakes in Cooperation: the Stochastic Stability of Edgeworth's Recontracting," Economic Journal, Royal Economic Society, vol. 118(532), pages 1719-1741, October.
  15. Mansfield, Edwin, 1985. "How Rapidly Does New Industrial Technology Leak Out?," Journal of Industrial Economics, Wiley Blackwell, vol. 34(2), pages 217-223, December.
  16. Slikker, Marco & van den Nouweland, Anne, 2001. "A One-Stage Model of Link Formation and Payoff Division," Games and Economic Behavior, Elsevier, vol. 34(1), pages 153-175, January.
  17. Dutta, Bhaskar & Mutuswami, Suresh, 1996. "Stable Networks," Working Papers 971, California Institute of Technology, Division of the Humanities and Social Sciences.
  18. Matthew O. Jackson & Leeat Yariv, 2007. "Diffusion of Behavior and Equilibrium Properties in Network Games," American Economic Review, American Economic Association, vol. 97(2), pages 92-98, May.
  19. Matthew O. Jackson & Brian W. Rogers, 2007. "Meeting Strangers and Friends of Friends: How Random Are Social Networks?," American Economic Review, American Economic Association, vol. 97(3), pages 890-915, June.
  20. Jackson, Matthew O. & Watts, Alison, 2002. "The Evolution of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 106(2), pages 265-295, October.
  21. Yannis M. Ioannides & Linda Datcher Loury, 2002. "Job Information Networks, Neighborhood Effects and Inequality," Discussion Papers Series, Department of Economics, Tufts University 0217, Department of Economics, Tufts University.
  22. Sergiu Hart, 1999. "Evolutionary Dynamics and Backward Induction," Game Theory and Information 9905002, EconWPA, revised 23 Mar 2000.
  23. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2008. "Contagion and efficiency," Journal of Economic Theory, Elsevier, vol. 143(1), pages 251-274, November.
  24. H. Peyton Young & Mary A. Burke, 2001. "Competition and Custom in Economic Contracts: A Case Study of Illinois Agriculture," American Economic Review, American Economic Association, vol. 91(3), pages 559-573, June.
  25. Alwyn Young, 2005. "The Gift of the Dying: The Tragedy of AIDS and the Welfare of Future African Generations," The Quarterly Journal of Economics, Oxford University Press, vol. 120(2), pages 423-466.
  26. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
  27. Roth,Alvin E. & Sotomayor,Marilda A. Oliveira, 1992. "Two-Sided Matching," Cambridge Books, Cambridge University Press, number 9780521437882, December.
  28. Clive Bell & Shantayanan Devarajan & Hans Gersbach, 2003. "The long-run economic costs of AIDS : theory and an application to South Africa," Policy Research Working Paper Series 3152, The World Bank.
  29. A. Banerjee & Drew Fudenberg, 2010. "Word-of-Mouth Communication and Social Learning," Levine's Working Paper Archive 425, David K. Levine.
  30. Frenzen, Jonathan K & Davis, Harry L, 1990. " Purchasing Behavior in Embedded Markets," Journal of Consumer Research, Oxford University Press, vol. 17(1), pages 1-12, June.
  31. Marilda Sotomayor, 2003. "A labor market with heterogeneous firms and workers," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(2), pages 269-283.
  32. David E. Bloom & Ajay S. Mahal, 1995. "Does the AIDS Epidemic Really Threaten Economic Growth?," NBER Working Papers 5148, National Bureau of Economic Research, Inc.
  33. Sebnem Kalemli-Ozcan & Belgi Turan & Chinhui Juhn, 2009. "HIV and Fertility in Africa: First Evidence from Population Based Surveys," 2009 Meeting Papers 650, Society for Economic Dynamics.
  34. Jackson Matthew O. & Rogers Brian W., 2007. "Relating Network Structure to Diffusion Properties through Stochastic Dominance," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-16, February.
  35. C Arndt & J D Lewis, 2000. "The Macro Implications of HIV/AIDS in South Africa: A Preliminary Assessment," South African Journal of Economics, Economic Society of South Africa, vol. 68(5), pages 380-392, December.
  36. Aghion, Philippe & Harris, Christopher & Vickers, John, 1997. "Competition and growth with step-by-step innovation: An example," European Economic Review, Elsevier, vol. 41(3-5), pages 771-782, April.
  37. Calvo-Armengol, Antoni, 2004. "Job contact networks," Journal of Economic Theory, Elsevier, vol. 115(1), pages 191-206, March.
  38. Blume Lawrence E., 1993. "The Statistical Mechanics of Strategic Interaction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July.
  39. Bhaskar Dutta & Sayantan Ghosal & Debraj Ray, 2004. "Farsighted Network Formation," Working papers 122, Centre for Development Economics, Delhi School of Economics.
  40. Sandholm, William H., 2007. "Pigouvian pricing and stochastic evolutionary implementation," Journal of Economic Theory, Elsevier, vol. 132(1), pages 367-382, January.
  41. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
  42. Rachel E. Kranton & Deborah F. Minehart, 2001. "A Theory of Buyer-Seller Networks," American Economic Review, American Economic Association, vol. 91(3), pages 485-508, June.
  43. Lawrence Blume, 1996. "Population Games," Game Theory and Information 9607001, EconWPA.
  44. Eugene A. Hammel & Hans-Peter Kohler, 2001. "On the role of families and kinship networks in pre-industrial agricultural societies: An analysis of the 1698 Slavonian census," Journal of Population Economics, Springer;European Society for Population Economics, vol. 14(1), pages 21-49.
  45. Robert Schoen & William Urton & Karen Woodrow & John Bai, 1985. "Marriage and divorce in twentieth century American cohorts," Demography, Springer;Population Association of America (PAA), vol. 22(1), pages 101-114, February.
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