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852. A Multi-Leader-Follower Game for the Analysis of the Interactions in Donation-Based Live-Streaming Platforms
Invited abstract in session WA-40: Equilibrium detection in applications, stream Interfaces Between Optimization, Hierarchical Problems and Equilibrium Detection with Applications.
Wednesday, 8:30-10:00Room: 96 (building: 306)
Authors (first author is the speaker)
| 1. | Laura Rosa Maria Scrimali
|
| DMI, Università di Catania |
Abstract
This paper examines the interactions between content creators and viewers in donation-based live-streaming
platforms. Specifically, creators produce their content, then viewers enjoy the live-streaming
and decide to donate money to creators. To capture the sequential decision process of the model, we introduce a multi-leader-follower game, in which creators act as the leaders of the game and viewers as the followers. Creators first optimize their performance level and the duration of the streams to maximize their profit. Then, viewers optimize the time spent watching a live stream to maximize their utility. Thus, the first stage of the game models the non-cooperative competition among creators, while the second stage represents the behaviour of viewers deciding on their content demands. We formulate these stages as Nash equilibrium problems, and then as variational inequalities. We analyze the existence and uniqueness of the Stackelberg equilibrium. Then, we derive a supervised learning algorithm to estimate the parameters of the associated artificial neural network model, focusing on the advertisement function, to test our achievements.
Keywords
- Continuous Optimization
- Game Theory
- Machine Learning
Status: accepted
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