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How can you build dynamic pricing model with data only from rigid pricing?

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I want to build a dynamic pricing model which means if product is too expansive for a client and there is a risk that we might loose a client we lower the price for them but if client doesn't care that much about the price we might increase price a little.

All the articles I've seen describe some kind of A/B testing for the pricing and then create a model.

I want to build a model only on the existing rigid pricing data. So I have prices offered to customers and I know who bought the product and who went to other company.

How can I do the increasing price part?

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