What might happen in a market economy if private property rights were removed?

Business would decrease and so would income. Citizens contribute to the economy by owning stores and laundry mats etc. We also have to order our goods from different places. Thats where tariff is involved. We have to pay fees. Also tax and bills on regular appliances. Let's say you purchase a hairbrush, you will have to pay tax. Tax goes towards officers, and to help build new roads to abolish most car accidents.