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Budget Allocation in Binary Opinion Dynamics

Abstract : In this article we study the allocation of a budget to promote an opinion in a group of agents. We assume that their opinion dynamics are based on the well-known voter model. We are interested in finding the most efficient use of a budget over time in order to manipulate a social network. We address the problem using the theory of discounted Markov decision processes. Our contributions can be summarized as follows: (i) we introduce the discounted Markov decision process in our cases, (ii) we present the corresponding Bellman equations, and, (iii) we solve the Bellman equations via backward programming. This work is a step towards providing a solid formulation of the budget allocation in social networks.
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https://hal.archives-ouvertes.fr/hal-01636965
Contributor : Alonso Silva <>
Submitted on : Wednesday, November 22, 2017 - 4:54:35 PM
Last modification on : Wednesday, December 9, 2020 - 3:17:15 PM

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  • HAL Id : hal-01636965, version 1
  • ARXIV : 1711.08365

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Susana Rey, Patricio Reyes, Alonso Silva. Budget Allocation in Binary Opinion Dynamics. 3rd Spring School on Networks co-located with (ChileCON 2017), Oct 2017, Pucon, Chile. ⟨hal-01636965⟩

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