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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
Contact details of provider: Postal: Department of Economics, Brown University, Providence, RI 02912

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  1. Glen Ellison, 2010. "Learning, Local Interaction, and Coordination," Levine's Working Paper Archive 391, David K. Levine.
  2. Echenique, Federico & Oviedo, Jorge, 2003. "A Theory of Stability in Many-to-Many Matching Markets," Working Papers 1185, California Institute of Technology, Division of the Humanities and Social Sciences.
  3. Page Jr, Frank H & Wooders, Myrna H. & Kamat, Samir, 2002. "Networks And Farsighted Stability," The Warwick Economics Research Paper Series (TWERPS) 660, University of Warwick, Department of Economics.
  4. Helpman, Elhanan, 1993. "Innovation, Imitation, and Intellectual Property Rights," Econometrica, Econometric Society, vol. 61(6), pages 1247-80, November.
  5. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
  6. Noldeke Georg & Samuelson Larry, 1993. "An Evolutionary Analysis of Backward and Forward Induction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 425-454, July.
  7. Bloch, Francis & Jackson, Matthew O., 2007. "The formation of networks with transfers among players," Journal of Economic Theory, Elsevier, vol. 133(1), pages 83-110, March.
  8. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
  9. Kandori, Michihiro & Serrano, Roberto & Volij, Oscar, 2008. "Decentralized trade, random utility and the evolution of social welfare," Journal of Economic Theory, Elsevier, vol. 140(1), pages 328-338, May.
  10. 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.
  11. Roberto Serrano & Oscar Volij, 2003. "MISTAKE IN COOPERATION:the Stochastic Stability of Edgeworth's Recontracting," Working Papers 2003-23, Brown University, Department of Economics.
  12. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
  13. A. Banerjee & Drew Fudenberg, 2010. "Word-of-Mouth Communication and Social Learning," Levine's Working Paper Archive 425, David K. Levine.
  14. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2008. "Contagion and efficiency," Journal of Economic Theory, Elsevier, vol. 143(1), pages 251-274, November.
  15. Bloom, David E. & Mahal, Ajay S., 1997. "Does the AIDS epidemic threaten economic growth?," Journal of Econometrics, Elsevier, vol. 77(1), pages 105-124, March.
  16. Yannis M. Ioannides & Linda Datcher Loury, 2004. "Job Information Networks, Neighborhood Effects, and Inequality," Journal of Economic Literature, American Economic Association, vol. 42(4), pages 1056-1093, December.
  17. 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.
  18. Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541 Elsevier.
  19. Roberto Serrano & Assaf Ben-Shoham & Oscar Volij, 2000. "The Evolution of Exchange," Economic theory and game theory 012, Oscar Volij.
  20. Dutta, Bhaskar & Mutuswami, Suresh, 1996. "Stable Networks," Working Papers 971, California Institute of Technology, Division of the Humanities and Social Sciences.
  21. Dutta, B. & van den Nouweland, C.G.A.M. & Tijs, S.H., 1995. "Link formation in cooperative situations," Discussion Paper 1995-35, Tilburg University, Center for Economic Research.
  22. 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.
  23. Hart, Sergiu, 2002. "Evolutionary dynamics and backward induction," Games and Economic Behavior, Elsevier, vol. 41(2), pages 227-264, November.
  24. L. Blume, 2010. "The Statistical Mechanics of Strategic Interaction," Levine's Working Paper Archive 488, David K. Levine.
  25. Mansfield, Edwin, 1985. "How Rapidly Does New Industrial Technology Leak Out?," Journal of Industrial Economics, Wiley Blackwell, vol. 34(2), pages 217-23, December.
  26. Calvo-Armengol, Antoni, 2004. "Job contact networks," Journal of Economic Theory, Elsevier, vol. 115(1), pages 191-206, March.
  27. Galor, Oded, 2004. "The Demographic Transition and the Emergence of Sustained Economic Growth," CEPR Discussion Papers 4714, C.E.P.R. Discussion Papers.
  28. 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.
  29. Juhn, Chinhui & Kalemli-Ozcan, Sebnem & Turan, Belgi, 2009. "HIV and Fertility in Africa: First Evidence from Population Based Surveys," IZA Discussion Papers 4473, Institute for the Study of Labor (IZA).
  30. Bhaskar Dutta & Sayantan Ghosal & Debraj Ray, 2004. "Farsighted Network Formation," Working papers 122, Centre for Development Economics, Delhi School of Economics.
  31. Marilda Sotomayor, 2003. "A labor market with heterogeneous firms and workers," International Journal of Game Theory, Springer, vol. 31(2), pages 269-283.
  32. Alwyn Young, 2005. "The Gift of the Dying: The Tragedy of Aids and the Welfare of Future African Generations," The Quarterly Journal of Economics, MIT Press, vol. 120(2), pages 423-466, May.
  33. 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.
  34. 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.
  35. 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.
  36. Lawrence Blume, 1996. "Population Games," Game Theory and Information 9607001, EconWPA.
  37. 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.
  38. 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.
  39. Frenzen, Jonathan K & Davis, Harry L, 1990. " Purchasing Behavior in Embedded Markets," Journal of Consumer Research, University of Chicago Press, vol. 17(1), pages 1-12, June.
  40. 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.
  41. 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.
  42. 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.
  43. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
  44. Sandholm, William H., 2007. "Pigouvian pricing and stochastic evolutionary implementation," Journal of Economic Theory, Elsevier, vol. 132(1), pages 367-382, January.
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