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# MOS (Money Operating System)
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Research-grade quote-control simulator for studying dynamic pricing and market making policies.
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The system models pricing as a closed loop of **Quote → Arrival → Execution → Position**, enabling
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controlled experimentation with demand models, inventory constraints, and reward shaping.
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## Core Loop
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1. **Quote** – the policy posts prices (one-sided or two-sided depending on the mechanism).
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2. **Arrival** – a population model generates purchase opportunities or market orders.
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3. **Execution** – an execution model decides whether an arrival converts at the quoted price.
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4. **Position** – inventory/position limits censor fills and generate holding/shortage costs.
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5. **Observation & Reward** – censored fills and aggregate metrics are exposed to the agent, while
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objectives turn metrics into a scalar reward.
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Each stage is pluggable via light-weight protocols so you can swap in alternative mechanisms,
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demand models, or objectives without rewriting the rest of the simulator.
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## Package Layout
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| Module | Purpose |
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|-------------------|---------|
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| `lab.outlet` | Core simulation engine, domain types, pricing mechanisms, objectives. |
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| `lab.population` | Demand arrival models, execution probability models, competitor/market dynamics. |
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| `lab.experiments` | Rollout utilities, baseline policies, and off-policy evaluation helpers. |
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| `lab.config` | Convenience factories for preconfigured retail and market-making environments. |
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## Preconfigured Scenarios
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### Retail Dynamic Pricing
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- Mechanism: posted prices with margin and delta constraints.
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- Arrivals: browsing sessions with contamination support (scrapers).
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- Execution: elasticity model with competitor cross-effects.
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- Position: inventory tracking with holding and shortage costs.
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- Market: reactive competitor that can trigger price wars.
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- Objective: PnL minus volatility, holding cost, and lost opportunity penalties.
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```python
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from lab.config import make_retail_platform
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from lab.experiments import rollout, fixed_price_policy
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platform = make_retail_platform()
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policy = fixed_price_policy(platform.instruments.refs)
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result = rollout(platform, policy, n_steps=100)
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print(result.total_pnl)
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```
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### Market Making
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- Mechanism: two-sided quoting with bid/ask spreads.
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- Arrivals: Hawkes order flow for clustered demand.
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- Execution: Avellaneda–Stoikov style intensity model.
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- Position: inventory risk limits and quadratic penalty objective.
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- Market: geometric Brownian motion mid-price process.
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- Objective: PnL plus spread capture minus inventory risk.
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```python
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from lab.config import make_market_making_platform
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from lab.experiments import rollout
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platform = make_market_making_platform()
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mm_policy = lambda obs, t: (platform.instruments.refs, 1.0)
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result = rollout(platform, mm_policy, n_steps=200, seed=42)
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print(result.total_pnl)
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```
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## Extending the Simulator
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- Implement `lab.outlet.protocols.Mechanism` or `ArrivalModel` to introduce new pricing
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domains or demand processes.
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- Compose objectives with `lab.outlet.objectives.factory.make_composite` to study alternate
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reward formulations.
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- Use `lab.experiments.compare_policies` to benchmark candidate policies across multiple
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random seeds.
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Comprehensive API documentation lives in `lab/docs` (build with `make html`).
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