I don't think it causes an increase in the price of goods, although I don't doubt that an increase in piracy leads to a decreasing number of products being developed.
You don't see how it could increase the price? Think about all the money (e.g. developer/researcher time) being spent on trying to stop piracy. These are costs that are passed directly onto the customers.
That's complete nonsense. A software company will always choose the price they believe will generate the most revenue.
If they are acting rationally they would choose exactly the same price regardless of whether the software cost $100 to produce or $100 million.
You are suggesting that there is some other consideration involved, which necessarily means that the company will act against their own interests and price their software irrationally.
If 3x as many people will buy your product at 1/2 the price, it's rational to cut your price in half. However, if the 1/2 price targets a market segment 90% populated by software pirates, everyone gets to pay 2x as much, including the 10% of honest people downmarket.