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A common belief about vegetarians is that they reduce the number of animals that die or at least reduce the demand for meat. But I also heard that less demand for meat will reduce meat prices and therefore increase or at least not reduce the meat consumed.
I found sources (https://www.peta.org/living/food/vegetarian-101/) that say that a vegetarian saves 100 animals a year, but it counts the amount of meat that he didn't buy, not the amount of meat that was not produced.
In this question Does vegetarianism cause any decline in the slaughter of animals in the food industry? they try to answer it, but the answer only says that the meat consumption has increased over a long period of time.
I want to find some sources that talk about this topic. Does being vegetarian actually decrease the amount of dead animals or in the end does it only change the price of meat?