Social welfare and price discovery in double auction markets

Battle Count: 50

Highly relevant for understanding the fundamental mechanics of price discovery and market efficiency in exchanges. While not a direct trading strategy, it provides the theoretical underpinning for why prices in double auctions (the standard mechanism for stocks, futures, etc.) tend toward competitive equilibrium, which is crucial for market microstructure modeling and execution algorithms.

The theoretical framework relies heavily on advanced convex analysis (recession cones, superdifferentials, Painlevé-Kuratowski convergence). Implementing the numerical simulation requires careful handling of convex optimization problems and indifference pricing calculations.

The paper provides rigorous mathematical proofs and a numerical example (Table 1) with specific parameters (Cobb-Douglas utilities, 5 assets, 100 agents). However, it does not provide code or raw data for the numerical simulation, though the setup is described sufficiently for replication by an expert.