Strategic Immunization and Group Structure
AbstractWe consider the spread of a harmful state through a population that is divided into two groups. The groups interact with each other to an extent that is parameterized, capturing the full spectrum from perfectly positive to perfectly negative assortativity. We first consider a central planner who can immunize a fraction of the population to eradicate the harmful state. The optimal policy either divides equally the resources across groups, or concentrates entirely on one group, depending on whether there is positive or negative assortative matching, respectively. Furthermore, the value of the social planner learning the exact level of assortativity is zero when interactions are positively assortative, and is increasing in the intensity of negative assortativity. We then study a game in which agents can, at a cost, achieve immunity. Inter-group interactions generate large asymmetries across groups in many outcomes of interest, such as welfare and prevalence, even when groups are, ex-ante, very similar. Hence, a failing to account for the impact of inter-group interactions may lead to over-estimating underlying differences across groups, and to suboptimal immunization plans.
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Bibliographic InfoPaper provided by University of Essex, Department of Economics in its series Economics Discussion Papers with number 707.
Date of creation: 01 Mar 2012
Date of revision:
Postal: Discussion Papers Administrator, Department of Economics, University of Essex, Wivenhoe Park, Colchester CO4 3SQ, U.K.
Other versions of this item:
- Andrea Galeotti & Brian W. Rogers, 2012. "Strategic Immunization and Group Structure," Economics Discussion Papers 716, University of Essex, Department of Economics.
- Andrea Galeotti & Brian Rogers, 2012. "Strategic Immunization and Group Structure," Discussion Papers 1551, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
- D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
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