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📈 Data ScientistID: ds-multitouch-attribution-shapley-markov

Multi-Touch Attribution: Markov & Shapley

多触点归因 MTA:马尔可夫与 Shapley
🎯Core Definition
Multi-Touch Attribution (MTA) Frameworks (Markov Chain Removal Effects & Cooperative Game-Theoretic Shapley Values) evaluate the marginal fractional contribution of diverse marketing touchpoints (Search, Social, Display, Email, Influencer) along the customer conversion journey; Rule-based attribution (Last-Touch, First-Touch, Linear) introduces severe heuristic bias; Algorithmic Attribution includes: 1) Markov Chain Attribution via Removal Effects: modeling touchpoint paths as absorbing state transition probability matrices PP; computing the fractional drop in overall system conversion probability when channel ii is removed (Ri=1P(Conversion w/o i)P(Conversion with All)R_i = 1 - \frac{P(\text{Conversion w/o } i)}{P(\text{Conversion with All})}) to apportion credit; 2) Shapley Value Attribution: calculating average marginal contributions across all 2N2^N combinatorial coalition subsets satisfying axiomatic game-theoretic fairness (efficiency, symmetry, additivity).
💡Use Cases
Multi-channel marketing budget allocation, paid acquisition campaign optimization, and customer journey analytics.
Key Problems Solved
Eliminates Last-Touch bias that artificially over-credits lower-funnel search ads while devaluing top-of-funnel brand awareness channels.
🎯5 High-Frequency Exam Points
1
Derive the absorbing Markov Chain transition matrix formulation and step-by-step calculation of Removal Effects?
2
Derive the Shapley Value cooperative game formula and define its 4 governing axioms (Efficiency, Symmetry, Dummy, Additivity)?
3
How to resolve the exponential O(2N)O(2^N) computational complexity of exact Shapley values via Monte Carlo coalition sampling?
4
Explain why privacy regulations (Apple ATT, third-party cookie deprecation) break user-level MTA tracking and drive adoption of aggregated MMM?
5
How to calibrate algorithmic MTA models against ground-truth causal Geo-Lift experiments?
📖 In-depth Guide:📄 ds-core-cheatsheet
Updated 2026-08-14
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