A Dual-Positive Monotone Parameterization for Multi-Segment Bids and a Validity Assessment Framework for Reinforcement Learning Agent-based Simulation of Electricity Markets

arXiv cs.AI / 4/14/2026

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Key Points

  • The paper proposes a “dual-positive monotone parameterization” to model bounded, monotone multi-segment stepwise bids directly, avoiding reliance on unconstrained action outputs followed by post-processing (sorting/clipping/projection).
  • It argues that common post-processing mappings can break key mathematical properties like continuous differentiability, injectivity, and invertibility at bid boundaries or kinks, which can distort gradients and produce misleading reinforcement-learning simulation outcomes.
  • The work also introduces a validity assessment framework for reinforcement-learning agent-based simulation of electricity markets, aiming to better judge whether simulation results are trustworthy.
  • The contribution is positioned for use in RL-ABS workflows that support electricity market mechanism analysis and evaluation, improving both bid modeling fidelity and learning stability.

Abstract

Reinforcement learning agent-based simulation (RL-ABS) has become an important tool for electricity market mechanism analysis and evaluation. In the modeling of monotone, bounded, multi-segment stepwise bids, existing methods typically let the policy network first output an unconstrained action and then convert it into a feasible bid curve satisfying monotonicity and boundedness through post-processing mappings such as sorting, clipping, or projection. However, such post-processing mappings often fail to satisfy continuous differentiability, injectivity, and invertibility at boundaries or kinks, thereby causing gradient distortion and leading to spurious convergence in simulation results. Meanwhile, most existing studies conduct mechanism analysis and evaluation mainly on the basis of training-curve convergence, without rigorously assessing the distance between the simulation outcomes and Nash equilibrium, which severely undermines the credibility of the results. To address these issues, this paper proposes...

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