# Economia de Mercados Bilaterais

Compreendendo efeitos de rede e estratégias de preços na economia de plataformas

> Página canônica: https://elysiatools.com/pt/visualizations/two-sided-markets

- **Categoria:** Math

## Visão geral

Interactive visualization of two-sided market theory and platform economics, founded by Jean-Charles Roché and Jean Tirole (2014 Nobel Prize). Five comprehensive modules: (1) Network Externalities Visualization with interactive bipartite network graph showing Group A (blue nodes) and Group B (orange nodes) users, dynamic connections demonstrating N = n_A × n_B formula, real-time connection count updates, node animation with physics-based movement, add/remove users interactively, and platform value calculation V = α(n_A · n_B)^β. (2) Growth Flywheel Animation illustrating positive feedback loops with four phases (Group A growth → Group B value increase → Group B growth → Group A value increase), logistic growth simulation n(t) = K/(1+e^(-r(t-t₀))), viral coefficient adjustment, critical mass detection and milestone indicators, momentum percentage display, and play/pause/speed controls. (3) Skewed Pricing Simulator exploring asymmetric pricing strategies based on demand elasticity, with preset cases (Taobao: buyers free/merchants pay, Uber/Didi: dual subsidies, Visa/Mastercard: cardholders free/merchants pay discount rate, PlayStation/Xbox: hardware loss/software 30% royalty, Google/Facebook: users free/advertisers pay), interactive price and elasticity sliders, demand function Q = Q₀(1 - ε·P/100), revenue/profit calculations, real-time bar charts showing user distribution and revenue breakdown, and pricing principle: price inversely proportional to elasticity. (4) Platform Type Comparison displaying three platform categories: Marketplace Platforms (facilitate direct transactions - Taobao, Uber, Airbnb, OpenTable), Attention Platforms (content attracts users sold to advertisers - Google, Facebook, TikTok, YouTube), and Ecosystem Platforms (cross-market reinforcement - WeChat, App Store, Steam, PlayStation), with clickable case cards showing detailed modal popups for each platform's structure, pricing strategy, and growth mechanics. (5) Educational Content covering theoretical origins (Roché & Tirole contributions, Nobel Prize background, evolution from bazaars to digital platforms), core concepts (direct vs indirect network externalities, positive vs negative effects, utility function U_i = f(n_j)), pricing strategies (why not cost-based pricing, elasticity determines subsidy direction, subsidy selection criteria), growth mechanisms (chicken-and-egg problem, critical mass importance n_A×n_B≥C, viral growth models, logistic S-curves), and practical case studies with success factors and failure analysis. Mathematical formulas rendered with KaTeX including network connections, utility function, critical mass condition, platform profit Π = P_A·n_A + P_B·n_B - C(n_A,n_B), growth differential equations, and logistic growth formula. Responsive three-column layout (controls, canvas, statistics) with dark mode support. Multi-language support (zh, en, es, fr, de, ru, pt).

## Conteúdo relacionado

- [Reação de Ordem Zero - Visualização Interativa](https://elysiatools.com/pt/visualizations/zero-order-reaction): Visualização interativa da cinética de reação de ordem zero e mudanças de concentração ao longo do tempo
- [Reação de Primeira Ordem - Visualização Interativa](https://elysiatools.com/pt/visualizations/first-order-reaction): Visualização interativa da cinética de reação de primeira ordem e do decaimento exponencial de concentração
- [Reação de Segunda Ordem - Visualização Interativa](https://elysiatools.com/pt/visualizations/second-order-reaction): Visualização interativa da cinética de reação de segunda ordem e da dinâmica de colisão bimolecular
- [Equação de Arrhenius](https://elysiatools.com/pt/visualizations/arrhenius-equation): Visualização interativa do efeito da temperatura na velocidade da reação - Explore energia de ativação, fator pré-exponencial e constante de velocidade
- [Reação Reversível](https://elysiatools.com/pt/visualizations/reversible-reaction): Visualização interativa da cinética de reação reversível A ⇌ B - Explore taxas de reação, constante de equilíbrio e mudanças de concentração
- [Reação Consecutiva](https://elysiatools.com/pt/visualizations/consecutive-reaction): Visualização interativa da cinética de reação consecutiva A → B → C - Explore picos de concentração intermediária
- [Reação em Cadeia](https://elysiatools.com/pt/visualizations/chain-reaction): Visualização interativa da polimerização radical em cadeia
- [Princípio de Le Chatelier](https://elysiatools.com/pt/visualizations/le-chateliers-principle): Visualização interativa do princípio de Le Chatelier - Explore como mudanças de concentração, pressão e temperatura afetam o equilíbrio químico