Rate of Switching Influencers Formulation

Available identifiers

MaRDI QIDQ6674558

rate of switching influencers

Description

Each individual i can at any time t switch its current influencer l′ to another influencer l with a given rate. By setting the pair function to ψ(x) = exp(−x), an individual has an exponentially higher rate to switch to an influencer that has a similar opinion than to an influencer with a very different opinion. This rate of switching influencers is defined by this formulation.

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Defining Formula: ${\Lambda }_m^{\to l}(x,t)=\eta \psi \left(\Vert z_l-x\Vert \right)r\left(\frac{n_{m,l}(t)}{\sum _{m^{\prime }=1}^M{n}_{m^{\prime },l}(t)}\right)$

${\Lambda }_m^{\to l}(x,t)$ symbol represents Rate of Switching Influencers

$\eta$ symbol represents Scaling Parameter for Switching Influencers

$\psi$ symbol represents Pair Function

$n_{m,l}$ symbol represents Medium Influencer Fraction

$r$ symbol represents Link Recommendation Function

$t$ symbol represents Time

$x$ symbol represents Opinion

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