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planning
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@@ -7,15 +7,6 @@ import pandas as pd
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class PricingFunction(ABC):
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"""
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Abstract base for pricing functions.
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Defines mapping: f(Q_t, P_t, S_t, H_t) -> P_{t+1}
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Where:
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Q_t ∈ R^n: demand vector at time t
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P_t ∈ R^n: price vector at time t
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S_t: session features (behavioral signals, interactions)
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H_t = {Q_{t-k}, P_{t-k}, S_{t-k}}: historical state trajectory
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Objective:
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maximize E[R_T] = E[Σ P_t^T · Q_t]
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subject to:
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@@ -28,10 +19,10 @@ class PricingFunction(ABC):
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def fit(self, *kwargs):
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"""
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Offline training on historical data.
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This is where we can think about some maximization of expected revenue
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over historical trajectories to learn parameters of the pricing function.
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(This however we cover move in the RL side of things)
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Args:
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historical_data: DataFrame with elasticity, prices, demand signals
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**kwargs: additional training parameters
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"""
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pass
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@@ -39,12 +30,18 @@ class PricingFunction(ABC):
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def predict(self, *kwargs) -> np.ndarray:
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"""
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Generate optimal prices given current state.
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This is an abstract method that transitions from τ -> P*
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which is the mapping from the trajectory to optimal prices under
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some subset of session grouping (so, per sessionId)
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"""
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pass
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Args:
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state_space: StateSpace object containing Q_t, P_t, S_t, H_t
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@abstractmethod
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def _get_features(self, *kwargs) -> np.ndarray:
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"""
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Extract features from trajectory for pricing decision.
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Returns:
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P_{t+1}: price vector in R^n
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np.ndarray of shape (n_products, n_features)
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"""
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pass
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