The typical use of price discrimination (or price segmentation) is when a seller of goods or services sells the same goods/services to entities that can afford to pay more at a higher price than to entities that can only afford to pay a lower price.
The objective is to maximize sales by getting more money from people who want to spend more money, while also getting some money from people who want to spend less money.
Offering people less money because you think they will accept less money because they are not likely to get a higher offer due to where they live is more accurately described as arbitrage.
No, it’s not more accurately described as arbitrage. Arbitrage involves buying something and then selling it for a higher price in a different market. That might describe something like a temp agency, which buys labor from employees and then essentially sells it to other companies. It does not describe most businesses, which directly use the labor provided by their employees rather than reselling it.
I agree that “price discrimination” isn’t quite right; it’s more of a metaphor. It works if you imagine that companies are selling money that is bought for the price of labor. In different markets, people will accept more or less money for the same labor, or equivalently spend less or more labor for the same money, which allows for price discrimination.
The objective is to maximize sales by getting more money from people who want to spend more money, while also getting some money from people who want to spend less money.
Offering people less money because you think they will accept less money because they are not likely to get a higher offer due to where they live is more accurately described as arbitrage.