Public finance economists believe that the existence of monopoly in some sectors in the economy will not yield Pareto Optimality and welfare efficiency. Explain both theoretically and diagrammatically why that is the case.
I would recommend that you study a textbook on welfare economics in detail - then you can work out the problem yourself!
Have a look at this excellent textbook, I think it will answer your question:
Perloff, J. (2013). Microeconomics with Calculus. Pearson.
good luck with your research
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