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Endogenous Attention and the Spread of False News

Tuval Danenberg, Drew Fudenberg

TL;DR

It is identified conditions under which the net effect favors truth over falsehood, and increases in the exogenous production rate of false stories can be amplified by users's sharing decisions.

Abstract

We study the impact of endogenous attention in a dynamic social media model. Each period, a user observes a random story and decides whether to share it. Users like sharing true and interesting stories, but identifying false stories requires costly attention. Depending on parameters, the system exhibits either a unique limit or strong path dependence. Endogenous attention responds to changes in false story credibility, so reducing credibility can boost their prevalence. Increases in the exogenous production rate of false stories can be amplified by users' sharing decisions. Increasing users' capacity to reach others amplifies both true and false stories; we identify conditions under which the net effect favors truth over falsehood.

Endogenous Attention and the Spread of False News

TL;DR

It is identified conditions under which the net effect favors truth over falsehood, and increases in the exogenous production rate of false stories can be amplified by users's sharing decisions.

Abstract

We study the impact of endogenous attention in a dynamic social media model. Each period, a user observes a random story and decides whether to share it. Users like sharing true and interesting stories, but identifying false stories requires costly attention. Depending on parameters, the system exhibits either a unique limit or strong path dependence. Endogenous attention responds to changes in false story credibility, so reducing credibility can boost their prevalence. Increases in the exogenous production rate of false stories can be amplified by users' sharing decisions. Increasing users' capacity to reach others amplifies both true and false stories; we identify conditions under which the net effect favors truth over falsehood.
Paper Structure (25 sections, 22 theorems, 59 equations, 5 figures, 6 tables)

This paper contains 25 sections, 22 theorems, 59 equations, 5 figures, 6 tables.

Key Result

Lemma 1

The functions $U(a,y,M)$ and $U(a,y,I)$ are strictly concave, and the optimal attention levels (conditional on sharing $T'$ stories) are:

Figures (5)

  • Figure 1: Examples of phase diagrams.
  • Figure 2: Phase diagrams for the case $\hat{y}_I<\hat{y}_M; y^*_I>y^*_N$.
  • Figure 3: Phase diagrams for the case $\hat{y}_I<\hat{y}_M; y^*_I<y^*_N$.
  • Figure 4: Phase diagrams for the case $\hat{y}_I>\hat{y}_M; y^*_S>y^*_M$.
  • Figure 5: Phase diagrams for the case $\hat{y}_I>\hat{y}_M; y^*_S<y^*_M$.

Theorems & Definitions (29)

  • Lemma 1
  • Lemma 2
  • Lemma 3
  • Lemma 4
  • Lemma 5
  • Theorem 1: Stable Steady States
  • Theorem 2: Limit Points
  • Theorem 3
  • Lemma 6
  • Lemma 7
  • ...and 19 more