Esports Math
[COCKPIT // v1.0] • ESPORTSMATH QUANTITATIVE TERMINAL

Esports Math

Esports Betting & Competitive Probability Analytics

Empirical probability modeling, expected value verification, and open-source statistical tooling for Esports Betting & Competitive Probability Analytics.

Topic illustration: Elo & Glicko-2 Rating Models for Competitive Esports: Dynamic Skill Estimation and Mathematical Calibration
Predictive Accuracy Brier Score 0.1874
Rating Framework Dual Elo / Glicko-2
Match Telemetry 10,000 Pro Maps
Institutional Lab EsportsMath Labs

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NODES: 3 ACTIVE
Peer-Reviewed Analyses

Recent Research Publications

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18 min 2026-09-23
Topic illustration: Elo & Glicko-2 Rating Models for Competitive Esports: Dynamic Skill Estimation and Mathematical Calibration

Elo & Glicko-2 Rating Models for Competitive Esports: Dynamic Skill Estimation and Mathematical Calibration

A comprehensive mathematical investigation into Elo and Glicko-2 rating systems for professional esports. Deconstructing latent skill vectors, epistemic uncertainty (RD), volatility tracking, empirical benchmarking across 50,000 matches, and Expected Value (+EV) derivations for CS2 and Dota 2.

ESM Competitive Analytics Division Team Rating Systems & Map Probability Modeling
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17 min 2026-09-23
Topic illustration: Roster Change Rating Adjustments: Modeling Stand-ins, Role Weights, and Multi-Agent Synergy

Roster Change Rating Adjustments: Modeling Stand-ins, Role Weights, and Multi-Agent Synergy

A mathematical framework for modeling competitive esports roster changes and emergency stand-ins. Deconstructs positional role weights (IGL vs AWPer), the non-linear multi-agent synergy coefficient S, epistemic entropy jumps in Rating Deviation, and empirical +EV betting strategies across 2,400 roster events.

ESM Competitive Analytics Division Team Rating Systems & Map Probability Modeling
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17 min 2026-09-23
Topic illustration: Cross-Region Rating Transfer: The Island Effect, Sparse LAN Bridges, and Hierarchical Bayesian Shrinkage

Cross-Region Rating Transfer: The Island Effect, Sparse LAN Bridges, and Hierarchical Bayesian Shrinkage

A quantitative investigation into geographic rating drift and the Island Effect across competitive CS2 and Dota 2 circuits. Formulating inter-regional exchange rates via spectral graph theory, LAN bridge calibration, Hierarchical Bayesian Shrinkage, and empirical +EV betting execution across 1,850 international matches.

ESM Competitive Analytics Division Team Rating Systems & Map Probability Modeling
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17 min 2026-09-23
Topic illustration: Rating Decay for Inactive Teams: Glicko-2 Time-Decay and Patch Meta-Shock Multipliers

Rating Decay for Inactive Teams: Glicko-2 Time-Decay and Patch Meta-Shock Multipliers

A quantitative modeling guide on competitive dormancy, tactical rust, and developer patch shocks in CS2 and Dota 2. Formulating continuous uncertainty diffusion via Glicko-2 time-decay, patch volatility multipliers M_patch, and empirical +EV betting strategies across 1,120 post-hiatus matches.

ESM Competitive Analytics Division Team Rating Systems & Map Probability Modeling
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18 min 2026-09-23
Topic illustration: Map-Based Win Probability & Veto Strategy: Conditional Probability, Bayesian Smoothing, and Monte Carlo Modeling in CS2

Map-Based Win Probability & Veto Strategy: Conditional Probability, Bayesian Smoothing, and Monte Carlo Modeling in CS2

A comprehensive quantitative framework for modeling competitive CS2 match outcomes at the map level. Deconstructing seven-dimensional map vectors, Beta-Binomial Bayesian smoothing, analytical BO3/BO5 probability trees, 100,000-trial Monte Carlo simulations, and empirical +EV betting execution across 45,000 matches.

ESM Competitive Analytics Division Team Rating Systems & Map Probability Modeling
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17 min 2026-09-23
Topic illustration: Bo3 vs Bo5 Series Mathematics: Combinatorial Variance, Underdog Compression, and Map Total Distributions

Bo3 vs Bo5 Series Mathematics: Combinatorial Variance, Underdog Compression, and Map Total Distributions

A rigorous mathematical analysis of match length dynamics in competitive CS2 and Dota 2. Examining binomial compounding, underdog compression curves, non-identical sequential Markov series expansions, physical fatigue penalties, and empirical +EV betting execution across 1,440 professional matches.

ESM Competitive Analytics Division Team Rating Systems & Map Probability Modeling
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17 min 2026-09-23
Topic illustration: Map Pool Depth Metric (MPD): Information-Theoretic Entropy, Structural Vulnerability, and Handicap Pricing

Map Pool Depth Metric (MPD): Information-Theoretic Entropy, Structural Vulnerability, and Handicap Pricing

A mathematical framework for measuring competitive map pool versatility in CS2 and hero drafting depth in Dota 2. Formulating the Map Pool Depth Index (MPDI) via Shannon information entropy, Herfindahl-Hirschman concentration indexes, BO5 Grand Final forced flank exposure, and empirical +EV betting execution across 850 team seasons.

ESM Competitive Analytics Division Team Rating Systems & Map Probability Modeling
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17 min 2026-09-23
Topic illustration: Veto Strategy Optimization: Minimax Trees, Nash Equilibria, and Zero-Sum Payoff Matrices in CS2

Veto Strategy Optimization: Minimax Trees, Nash Equilibria, and Zero-Sum Payoff Matrices in CS2

A game-theoretic framework for modeling the Counter-Strike 2 map veto phase. Formulating extensive-form zero-sum games, backward induction minimax algorithms, Nash equilibrium payoff matrices, first-mover vs decider-ban asymmetries, and empirical +EV betting execution across 2,100 professional matches.

ESM Competitive Analytics Division Team Rating Systems & Map Probability Modeling
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17 min 2026-09-23
Topic illustration: Permaban Analysis & Map Leakage: The 18.4% Win Rate Trap, Opponent Exploitation, and Correct Score Angles in CS2

Permaban Analysis & Map Leakage: The 18.4% Win Rate Trap, Opponent Exploitation, and Correct Score Angles in CS2

A quantitative investigation into permaban leakage and preparation voids in competitive CS2 and hero pool drafts in Dota 2. Examining the 18.4% LAN win rate trap, the Game of Chicken payoff matrix during double-permaban conflicts, blowout round handicaps, and empirical +EV betting execution across 340 LAN maps.

ESM Competitive Analytics Division Team Rating Systems & Map Probability Modeling
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18 min 2026-09-23
Topic illustration: Live Odds & Momentum Models: Real-Time In-Play Win Probability, Micro-Momentum, and Markov Decision Processes in CS2

Live Odds & Momentum Models: Real-Time In-Play Win Probability, Micro-Momentum, and Markov Decision Processes in CS2

A quantitative blueprint for modeling live in-play win probabilities in CS2 MR12 and Dota 2. Formulating discrete round-by-round Markov state machines, backward induction Bellman equations, micro-momentum logistic regression decomposition, and empirical +EV live trading execution across 3,800 professional maps.

ESM Probabilistic Modeling Lab Live Odds Momentum & Player Impact Quantification
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17 min 2026-10-06
Topic illustration: Dota 2 Networth Lead Decay: Non-Linear Advantage Compression and Buyback State Machine Mathematics

Dota 2 Networth Lead Decay: Non-Linear Advantage Compression and Buyback State Machine Mathematics

A quantitative investigation into the diminishing marginal returns of gold leads in professional Dota 2. Formalizing logistic victory probability curves across game time, discrete Markov buyback state machines, rubberband comeback bounty mathematics, and in-play market inefficiencies across 3,240 tier-1 matches.

ESM Probabilistic Modeling Lab Live Odds Momentum & Player Impact Quantification
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Partner links

Esports at 1win: compare the event, map format and settlement rules

What to check first → Visit 1win 18+ · Terms on site

Stake Sportsbook esports: check CS2 or Dota 2 markets and settlement rules

What to check first → Visit Stake 18+ · Terms on site

Check the exact market, settlement rules and availability in your country. Offers depend on your country and account; current terms are on the operator’s site. A model result does not establish a betting edge.

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