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Exploring the Head Effect in Live Streaming Platforms: A Two-Sided Market and Welfare Analysis

Yukun Zhang, Qi Dong

TL;DR

The paper develops static and dynamic models of live-streaming platforms as two‑sided markets to analyze the head effect, showing how network effects and platform policies shape traffic concentration, welfare, and content diversity. It demonstrates that while short‑term consumer utility can benefit from concentration, long‑term welfare suffers due to reduced content variety, and proposes a welfare-maximizing traffic‑allocation framework with interior versus corner solutions. Dynamic analysis reveals path dependence: large network effects can drive winner‑takes‑all equilibria, but policy interventions that combine tax on top streamers with boosts for smaller creators can rebalance distribution and improve welfare, as validated by simulations. The findings offer actionable guidance for platform designers and regulators on balancing efficiency with diversity in digital content markets, and point to empirical validation and multi‑platform extensions as fruitful future work.

Abstract

We develop a comprehensive theoretical framework to analyze live streaming platforms as two-sided markets, focusing on the head effect where a small subset of elite streamers disproportionately attracts viewer attention. By constructing both static and dynamic models, we capture the interplay between network effects, content quality investments, and platform policies-such as commission structures and traffic allocation algorithms-that drive traffic concentration. Our welfare analysis demonstrates that although short-term consumer utility may benefit from concentrated viewership, long-term content diversity and overall social welfare are adversely impacted. Extensive simulations further validate our models and show that targeted policy interventions can rebalance viewer distribution and mitigate winner-takes-all dynamics. These findings offer actionable insights for platform designers and regulators in the digital economy.

Exploring the Head Effect in Live Streaming Platforms: A Two-Sided Market and Welfare Analysis

TL;DR

The paper develops static and dynamic models of live-streaming platforms as two‑sided markets to analyze the head effect, showing how network effects and platform policies shape traffic concentration, welfare, and content diversity. It demonstrates that while short‑term consumer utility can benefit from concentration, long‑term welfare suffers due to reduced content variety, and proposes a welfare-maximizing traffic‑allocation framework with interior versus corner solutions. Dynamic analysis reveals path dependence: large network effects can drive winner‑takes‑all equilibria, but policy interventions that combine tax on top streamers with boosts for smaller creators can rebalance distribution and improve welfare, as validated by simulations. The findings offer actionable guidance for platform designers and regulators on balancing efficiency with diversity in digital content markets, and point to empirical validation and multi‑platform extensions as fruitful future work.

Abstract

We develop a comprehensive theoretical framework to analyze live streaming platforms as two-sided markets, focusing on the head effect where a small subset of elite streamers disproportionately attracts viewer attention. By constructing both static and dynamic models, we capture the interplay between network effects, content quality investments, and platform policies-such as commission structures and traffic allocation algorithms-that drive traffic concentration. Our welfare analysis demonstrates that although short-term consumer utility may benefit from concentrated viewership, long-term content diversity and overall social welfare are adversely impacted. Extensive simulations further validate our models and show that targeted policy interventions can rebalance viewer distribution and mitigate winner-takes-all dynamics. These findings offer actionable insights for platform designers and regulators in the digital economy.

Paper Structure

This paper contains 53 sections, 7 theorems, 41 equations, 10 figures, 1 table.

Table of Contents

  1. Introduction
  2. Literature Overview
  3. Two-Sided Markets and Network Effects
  4. The "Head Effect" in Live - Streaming Platforms
  5. Policy Interventions
  6. Structure and Contributions
  7. Static Analysis
  8. Model Construction
  9. Equilibrium Analysis
  10. Dynamic Analysis
  11. Dynamic Equations
  12. Path-Dependence and Head Effect
  13. Welfare Economics Analysis
  14. Consumer Surplus (CS)
  15. Producer Surplus (PS)
  16. ...and 38 more sections

Key Result

theorem 1

There exists a critical value $\beta^* > 0$ such that if $\beta > \beta^*$, the market equilibrium results in one streamer capturing almost all viewers.

Figures (10)

  • Figure 1: Temporal Evolution of Viewer Numbers and Streamer Quality.
  • Figure 2: Interaction between streamers and viewers.
  • Figure 3: Baseline scenario: viewer distribution, revenues, streamer quality, and average satisfaction.
  • Figure 4: High_Tax scenario: Viewer distribution, revenue trends, streamer quality, and average satisfaction over time.
  • Figure 5: Boost_Small scenario: Viewer distribution, revenue trends, streamer quality, and average satisfaction over time.
  • ...and 5 more figures

Theorems & Definitions (7)

  • theorem 1: Critical Network Effect
  • theorem 2: Uniqueness of Steady-State
  • theorem 3: Local Asymptotic Stability
  • theorem 4: Dynamic Steady-State
  • theorem 5: Path Dependence
  • theorem 6: Head Effect in the Dynamic Model
  • proposition 1: Welfare Impact under the Head Effect