This note shows that compared to uniform pricing, third-degree price discrimination can be neutral. For linear demands, having all price intercepts of submarkets’ inverse demands to be the same is the necessary and sufficient condition for third-degree price discrimination to be neutral. For general demands, when all submarkets’ demands are proportional to each other, not only will all the submarkets be served under uniform pricing, but all prices before and after price discrimination will be the same.

中文翻译：

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三次价格歧视的中立性

此注释表明，与统一定价相比，三级价格歧视可以是中立的。对于线性需求，使子市场逆需求的所有价格截距都相同是三阶价格歧视保持中立的必要和充分条件。对于一般需求，当所有子市场的需求彼此成比例时，不仅所有子市场都将以统一定价服务，而且价格歧视前后的所有价格都将相同。