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A dynamic theory of fidelity networks with an application to the spread of HIV/AIDS

Roland Pongou and Roberto Serrano

No 2009-03, Working Papers from Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales

Abstract: 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.

Keywords: fidelity networks; anti-female discrimination; stochastic stability; HIV/AIDS; union formation models (search for similar items in EconPapers)
JEL-codes: A14 C7 I12 J00 (search for similar items in EconPapers)
Date: 2009-04-10
New Economics Papers: this item is included in nep-gth, nep-hea, nep-net and nep-soc
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (18)

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Working Paper: A Dynamic Theory of Fidelity Networks with an Application to the Spread of HIV/AIDS (2009) Downloads
Working Paper: A Dynamic Theory of Fidelity Networks with an Application to the Spread of HIV / AIDS (2009) Downloads
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