Multi-Agent Reinforcement Learning for Dynamic Pricing: Balancing Profitability,Stability and Fairness

Dynamic pricing in competitive retail markets requires strategies that adapt to fluctuating demand and competitor behavior. In this work, we present a systematic empirical evaluation of multi-agent reinforcement learning (MARL) approaches-specifically MAPPO and MADDPG-for dynamic price optimization under competition. Using a simulated marketplace environment derived from real-world retail data, we benchmark these algorithms against an Independent DDPG (IDDPG) baseline, a widely used independent learner in MARL literature. We evaluate profit performance, stability across random seeds, fairness, and training efficiency. Our results show that MAPPO consistently achieves the highest average returns with low variance, offering a stable and reproducible approach for competitive price optimization, while MADDPG achieves slightly lower profit but the fairest profit distribution among agents. These findings demonstrate that MARL methods-particularly MAPPO-provide a scalable and stable alternative to independent learning approaches for dynamic retail pricing.

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References (5)

02Action: Sellers select a continuous pricing action representing a relative price adjustment within ±30% of the reference price
03Demand Allocation: Market demand is shared among sellers using a softmax market-share model with competition intensity parameter β=10,allowing realistic competitive interactions
04Performance insights show MASAC achieving high peak rewards but suffering from instability, providingguidance for practitioners on trade-offs between exploration and reliability
05Observation: Each seller observes its local feature vector, including normalized price, historical sales velocity, and inventory state

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