BLVD 8 Septemvri num. 15 | 1000 Skopje, Macedonia

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2 Oct

Modelos predictivos en apuestas deportivas: qué ganan los jugadores VIP y cómo aprovecharlo sin perder la cabeza

¡Espera… esto suele confundirse! Aquí tienes, desde el primer párrafo, tres cosas útiles: un mini-cálculo de staking (con la fórmula de Kelly), una pauta práctica para identificar señal útil en cuotas, y un checklist rápido para una sesión VIP responsable. Sí: puedes entender esto aunque seas novato.

Primero, una idea práctica que puedes usar ahora mismo: si encuentras una apuesta con probabilidad implícita del 45% (odds decimales 2.22) y tu modelo estima 50% de probabilidad real, la ventaja es 5 puntos porcentuales. Con Kelly completo la fracción óptima de bankroll f* = (bp – q)/b, donde b = odds-1 = 1.22, p = 0.50 y q = 0.50; entonces f* = (1.22*0.5 – 0.5)/1.22 ≈ 0.0102 → 1.02% del bankroll. Práctico, ¿no?

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Observación rápida: ¿por qué a los VIP les interesa la predicción?

¡Wow! Los VIP no solo apuestan más; buscan ventaja repetible y protegida. En términos sencillos, un jugador VIP tiene tres cosas distintas: mayor volumen (más apuestas), acceso a límites y líneas exclusivas, y relaciones que permiten negociar condiciones (retiros, límites, gestores). Eso convierte pequeñas ventajas del modelo en beneficios reales y sostenibles.

Expande: con mayor volumen, incluso edges pequeños (1–2%) se vuelven rentables porque la ley de los grandes números actúa a su favor. Refleja: por un lado el modelo debe ser bueno; por otro, la gestión del bankroll y la ejecución son lo que transforman la ventaja en ganancia real.

Qué es un modelo predictivo útil para apuestas VIP

Espera… esto no es magia. Un modelo útil tiene tres componentes claros: datos limpios (historial, lesiones, clima), arquitectura adecuada (ELO, Poisson, regresión logisticada, o modelos ML como XGBoost), y métricas de validación (Brier score, AUC, calibración).

Expande: para mercados de goles, un modelo de Poisson o Poisson emparejado con variables contextuales (lesiones, días de descanso, significancia del partido) suele funcionar bien. Para spreads o hándicaps, los modelos bayesianos o los que incorporan series temporales mejoran la precisión. Refleja: al principio pensé que solo las redes neuronales eran “lo mejor”, luego comprobé que modelos simples, correctamente calibrados, rinden mejor y son más interpretables.

Mini-caso 1 — VIP hipotético que mejora ROI

Observa: un VIP hace 2,000 apuestas al año con stake medio equivalente al 0.5% del bankroll. Su modelo detecta 2% de edge promedio en 20% de las apuestas. Expande: eso se traduce en 400 apuestas lucrativas. Si cada apuesta tiene un valor esperado (EV) de +0.02 unidades por unidad apostada, y el stake medio es 0.005 del bankroll por apuesta, el rendimiento equivale aproximadamente a 400 × 0.02 × 0.005 = 0.04 (4% del bankroll anual). Refleja: no es espectacular, pero sostenido y con retiros rápidos puede ser muy lucrativo para grandes bankrolls.

Cómo funcionan los beneficios específicos para VIP

¡Espera! No todos los VIP obtienen lo mismo. Hay niveles:

  • Beneficios de ejecución: límites mayores, reducción de restricción de stake.
  • Beneficios de información: prioridad en líneas, acceso a cuotas tempranas.
  • Beneficios contractuales: retiros priorizados, gestor personal.

Expande: un VIP que obtiene acceso a la cuota pre-market puede ejecutar una estrategia de value betting antes de que el mercado la cierre; en mercados fragmentados (e.g., eSports, ligas pequeñas), esa ventaja puede representar +2–5% de edge sobre el mercado público. Refleja: muchas veces la diferencia entre un modelo rentable y uno que falla está en la latencia de ejecución y la gestión del sportsbook.

Herramientas y enfoques: comparación práctica

Enfoque / Herramienta Mejor uso Ventaja clave Limitación
Modelos ELO+Context Fútbol, ligas con historial Robustez y baja varianza Menos sensible a situaciones únicas
Poisson/Regresión Goles/Over-Under Interpretable y eficiente Requiere buen ajuste de dispersión
Machine Learning (XGBoost) Datos ricos, features múltiples Captura interacciones complejas Riesgo de overfit; necesita validación
Modelos bayesianos Pequeños volúmenes; incertidumbre Mejor manejo de la incertidumbre Computacionalmente intensivo

Mini-caso 2 — staking con Kelly fraccional (ejemplo numérico)

Observa: odds decimales 3.00, tu p = 0.38 según modelo. Expande: b = 2.00; q = 0.62. Kelly completo f* = (2×0.38 – 0.62)/2 = (0.76 – 0.62)/2 = 0.07 → 7% bankroll. Refleja: eso es demasiado agresivo para muchos; usando Kelly fraccional (25%) reduces a 1.75% por apuesta, lo cual es más prudente para preservar capital y tolerar model drift.

Dónde encaja cloudbet-mx.com para un jugador VIP

¡Aquí está la cosa! Al elegir plataformas para ejecutar estrategias basadas en modelos, prioriza estabilidad de liquidez, variedad de mercados y rapidez en depósitos/retiros. Para jugadores que usan cripto y buscan límites altos y una plataforma con enfoque para apostadores experimentados, opciones que combinan libro deportivo y casino en cripto ofrecen ventajas específicas; un ejemplo de referencia para explorar esa categoría es cloudbet-mx.com, donde los límites y la infraestructura pueden ajustarse mejor a volúmenes significativos.

Quick Checklist: antes de operar como VIP

  • Documenta tu modelo: versión, fecha, métricas (Brier, AUC, ROI esperado).
  • Prueba en paper trading 60–90 días antes de poner dinero real.
  • Establece límites de pérdida diarios/semanales y respétalos.
  • Tiene listos KYC y comprobantes (para evitar sorpresas en retiros grandes).
  • Usa Kelly fraccional (10–25%) como regla inicial de sizing.

Common mistakes and how to avoid them

  • Confusión entre correlación y causalidad — Evita añadir features sin justificar valor predictivo.
  • Overfitting — Usa backtests out-of-sample y validación temporal (walk-forward).
  • Ignorar comisiones y límites — simula slippage y límites máximos antes de escalar.
  • Apalancarse emocionalmente — el tilt destruye modelos; automatiza ejecución cuando sea posible.
  • No actualizar el modelo — recalibra cada 2–6 semanas según dinámica de la competición.

Mini-FAQ práctico

¿Necesito programación para empezar?

Mi instinto dice: sí, al menos básico. Aprender Python (pandas, scikit-learn) permite construir y validar modelos simples. Sin embargo, también puedes empezar con hojas de cálculo y reglas ELO básicas mientras subes tu curva técnica.

¿Qué margen de error es aceptable para un VIP?

Por un lado, un modelo con AUC > 0.60 y Brier score razonable ya aporta valor; por otro lado, la tolerancia depende del tamaño de la apuesta. Para stakes grandes, busca mayor solidez: AUC > 0.65 y pruebas de estabilidad en varios periodos.

¿Cómo proteger mi bankroll frente a volatilidad?

Reduce Kelly, diversifica mercados y aplica límites máximos por evento. Además, haz stress tests: simula rachas adversas de 30–50 apuestas y comprueba la máxima drawdown histórica.

18+. Juego responsable: establece límites, no apuestes con dinero que no puedas perder. En México, recuerda que plataformas con licencia en jurisdicciones extranjeras pueden no ofrecer protección bajo la SEGOB; verifica T&C y ten tus documentos KYC listos para evitar demoras en retiros.

Fuentes

  • Kelly, J. L. Jr. (1956). “A New Interpretation of Information Rate”. Bell System Technical Journal. Disponible: https://www.princeton.edu/~mwatkins/kelly.pdf
  • Brier score — verificación de pronósticos probabilísticos: https://en.wikipedia.org/wiki/Brier_score
  • Artículos sobre eficiencia del mercado de apuestas deportivas y modelos predictivos: Journal of Sports Analytics (revisión general de metodologías).

About the Author

María López, iGaming expert. Trabajo en modelado de probabilidades aplicadas a apuestas deportivas desde 2016, combinando experiencia en estadística aplicada y gestión operativa para clientes de alto volumen.

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