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

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

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  1. Robert Schoen & William Urton & Karen Woodrow & John Bai, 1985. "Marriage and divorce in twentieth century American cohorts," Demography, Springer, vol. 22(1), pages 101-114, February.
  2. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-71, September.
  3. 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.
  4. Roberto Serrano & Oscar Volij, 2003. "MISTAKE IN COOPERATION:the Stochastic Stability of Edgeworth's Recontracting," Working Papers 2003-23, Brown University, Department of Economics.
  5. Slikker, M. & van den Nouweland, C.G.A.M., 1997. "A One-Stage Model of Link Formation and Payoff Division," Discussion Paper 1997-23, Tilburg University, Center for Economic Research.
  6. 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.
  7. Fudenberg, Drew & Ellison, Glenn, 1995. "Word-of-Mouth Communication and Social Learning," Scholarly Articles 3196300, Harvard University Department of Economics.
  8. Dutta, Bhaskar & Mutuswami, Suresh, 1996. "Stable Networks," Working Papers 971, California Institute of Technology, Division of the Humanities and Social Sciences.
  9. KANDORI, Michihiro & Roberto Serrano & Oscar Volij, . "Decentralized Trade, Random Utility and the Evolution of Social Welfare," Economic theory and game theory 021, Oscar Volij.
  10. 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.
  11. 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.
  12. 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.
  13. G. Noldeke & L. Samuelson, 2010. "An Evolutionary Analysis of Backward and Forward Induction," Levine's Working Paper Archive 538, David K. Levine.
  14. Jackson, Matthew O. & Yariv, Leeat, 2006. "Diffusion of Behavior and Equilibrium Properties in Network Games," Working Papers 1264, California Institute of Technology, Division of the Humanities and Social Sciences.
  15. Marilda Sotomayor, 2003. "A labor market with heterogeneous firms and workers," International Journal of Game Theory, Springer, vol. 31(2), pages 269-283.
  16. 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.
  17. Sergiu Hart, 1999. "Evolutionary Dynamics and Backward Induction," Game Theory and Information 9905002, EconWPA, revised 23 Mar 2000.
  18. 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.
  19. Sandholm, William H., 2007. "Pigouvian pricing and stochastic evolutionary implementation," Journal of Economic Theory, Elsevier, vol. 132(1), pages 367-382, January.
  20. Page Jr, Frank H & Wooders, Myrna H & Kamat, Samir, 2001. "Networks And Farsighted Stability," The Warwick Economics Research Paper Series (TWERPS) 621, University of Warwick, Department of Economics.
  21. 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.
  22. Jorge Oviedo & Federico Echenique, 2005. "A Theory of Stability in Many-to-Many Matching Markets," 2005 Meeting Papers 233, Society for Economic Dynamics.
  23. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
  24. Oscar Volij, 2000. "The Evolution of Exchange," Econometric Society World Congress 2000 Contributed Papers 0292, Econometric Society.
  25. Blume Lawrence E., 1993. "The Statistical Mechanics of Strategic Interaction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July.
  26. 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.
  27. Elhanan Helpman, 1992. "Innovation, Imitation, and Intellectual Property Rights," NBER Working Papers 4081, National Bureau of Economic Research, Inc.
  28. Bhaskar Dutta & Sayantan Ghosal & Debraj Ray, 2004. "Farsighted Network Formation," Working papers 122, Centre for Development Economics, Delhi School of Economics.
  29. 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.
  30. Roth,Alvin E. & Sotomayor,Marilda A. Oliveira, 1992. "Two-Sided Matching," Cambridge Books, Cambridge University Press, number 9780521437882.
  31. Larry E. Blume, 1996. "Population Games," Working Papers 96-04-022, Santa Fe Institute.
  32. Galor, Oded, 2004. "The Demographic Transition and the Emergence of Sustained Economic Growth," CEPR Discussion Papers 4714, C.E.P.R. Discussion Papers.
  33. 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.
  34. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2008. "Contagion and efficiency," Journal of Economic Theory, Elsevier, vol. 143(1), pages 251-274, November.
  35. Mansfield, Edwin, 1985. "How Rapidly Does New Industrial Technology Leak Out?," Journal of Industrial Economics, Wiley Blackwell, vol. 34(2), pages 217-23, December.
  36. M. Kandori & G. Mailath & R. Rob, 1999. "Learning, Mutation and Long Run Equilibria in Games," Levine's Working Paper Archive 500, David K. Levine.
  37. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
  38. 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.
  39. 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.
  40. Matthew O. Jackson & Francis Bloch, 2004. "The Formation of Networks with Transfers among Players," Working Papers 2004.80, Fondazione Eni Enrico Mattei.
  41. Calvo-Armengol, Antoni, 2004. "Job contact networks," Journal of Economic Theory, Elsevier, vol. 115(1), pages 191-206, March.
  42. 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.
  43. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
  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, vol. 14(1), pages 21-49.
  45. 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.
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