In a bilateral monopoly such as that of a players' union and major sports league, what factor determines the final price and quantity of labor? Why?

In a bilateral monopoly, the market structure comprises two monopolies, which include the monopsony buyer and the monopoly seller. Monopsony buyer is the only buyer who purchases particular commodities in a market. In contrast, a monopoly seller is the only seller who trades a specific commodity in a market. Therefore, the factors determining the final price in a bilateral monopoly are negotiation and products' quality. Both parties should negotiate that there are no other similar commodities traded that might maximize prices. However, quality determines the price of commodities because high-quality production requires a lot of expenses in production. If the quality is low, products' price is likely to decrease because of low production expenses. Besides, the quantity of labour required is determined by the tasks to be accomplished and the skill required. Eventually, if the tasks to be accomplished during production are many, then an increment of labour will be required. In the production of high-quality goods, well-skilled labour is required to make improvements on commodities to make them more appealing to their sole consumer.