# Monopoly price

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In microeconomics, a monopoly price is set by a monopoly. A monopoly occurs when a firm lacks any viable competition and is the sole producer of the industry's product. Because a monopoly faces no competition, it has absolute market power and can set a price above the firm's marginal cost.

## Key facts

## Overview

In microeconomics, a monopoly price is set by a monopoly. A monopoly occurs when a firm lacks any viable competition and is the sole producer of the industry's product. Because a monopoly faces no competition, it has absolute market power and can set a price above the firm's marginal cost. The monopoly ensures a monopoly price exists when it establishes the quantity of the product. As the sole supplier of the product within the market, its sales establish the entire industry's supply within the market, and the monopoly's production and sales decisions can establish a single price for the industry without any influence from competing firms. The monopoly always considers the demand for its product as it considers what price is appropriate, such that it chooses a production supply and price combination that ensures a maximum economic profit, which is determined by ensuring that the marginal cost (determined by the firm's technical limitations that form its cost structure) is the same as the marginal revenue (MR) (as determined by the impact a change in the price of the product will impact the quantity demanded) at the quantity it decides to sell. The marginal revenue is solely determined by the demand for the product within the industry and is the change in revenue that will occur by lowering the price just enough to ensure a single additional unit is sold. The marginal revenue is positive, but it is lower than its associated price because lowering the price will increase the demand for its product and increase the firm's sales revenue, and lower the price paid by those who are willing to buy the product at the higher price, which ensures a lower sales revenue on the product sales than those willing to pay the higher price.

Marginal revenue can be calculated as

M         R         =         P         +

P           ′

(         Q         )         ∗         Q

\{\\displaystyle MR=P+P'(Q)\*Q\}

, where

0         \>

P           ′

(         Q         )

\{\\displaystyle 0\>P'(Q)\}

. Marginal cost (MC) relates to the firm's technical cost structure within production, and indicates the rise in total cost that must occur for an additional unit to be supplied to the market by the firm. The marginal cost is higher than the average cost because of diminishing marginal product in the short run. It can be calculated as

M         C         =

C           ′

(         Q         )

\{\\displaystyle MC=C'(Q)\}

, where

0         \<

C           ′

(         Q         )

## Mathematical derivation: how a monopoly sets the monopoly price

Mathematically, the general rule a monopoly uses to maximize monopoly profit can be derived through simple calculus. The basic equation for economic profit, in which the total economic cost varies directly with the quantity produced, can be expressed as

π         =         P         (         Q         )         ×         Q         −         C         (         Q         )

\{\\displaystyle \\pi =P(Q)\\times Q-C(Q)\}

, where

Q

\{\\displaystyle Q\}

= quantity sold,

P         (         Q         )

\{\\displaystyle P(Q)\}

= inverse demand function; the price at which

Q

\{\\displaystyle Q\}

can be sold given the existing demand

C         (         Q         )

\{\\displaystyle C(Q)\}

= total cost of producing

Q

\{\\displaystyle Q\}

.

π

## Objectives

Of the many price-setting methods, a monopoly will set the price with respect to market demand id est demand-based pricing. When a firm with absolute market power sets the monopoly price, the primary objective is to maximize its own profits by capturing consumer surplus and maximizing its own. A monopoly accomplishes this by setting a price above its marginal cost and producing at a quantity that meets market demand and corresponds to the set price.

## Monopoly Price and market inefficiencies

Monopoly pricing without perfect price discrimination results in market inefficiencies when compared to other market structures. The inefficiencies in question are a loss of both consumer and producer surplus otherwise known as a deadweight loss. The loss in both surplus' are deemed allocatively inefficient and not socially optimal. In contrast, when the firm has more information and discrimination is present, monopoly pricing becomes increasingly efficient as it approaches perfect discrimination through the various forms of price discrimination:

Quantity Discount Market Segregation Two-part tariff Combination User Controlled Price Discrimination

## Dynamic Pricing for Monopolies

Much of the empirical literature suggest that setting a dynamic or variable monopoly price is market-efficient and can maximize total profits for the firm. However, this is only true when certain assumptions are made and specific circumstances are present. A paper written by Harris and Raviv  advise firms who are restricted by productive capacity to set their prices on a priority-basis. If production capacity is capped and not only restricted, Harris and Raviv suggest pricing goods in an auction format to be optimal for maximizing profits. Both pricing schemes are argued to be effective under the assumptions that price adjustments are costless. Further studies by Rajan et al. (1993) have also concluded that a variable pricing scheme to be optimal for maximizing profits. Rajan argues that dynamic costs such as purchasing and carrying costs should lead to an increase in price. Additionally, He suggests goods that drop in value or decay should lead to a decrease in price as demand for said goods also decrease therefore the firm should drop the price as to maximize profits again and reclaim lost producer surplus.

## Market structure of monopoly

A market structure is defined by three factors which are barriers to entry, number of firms in the market, and product substitutability. Below is the market structure for a monopoly:

Unlike perfect competition where firms can freely enter and exit the market, it is not the case for monopolistic competition. For a monopoly to exist, there must be high barriers to entry for new firms. Barriers to entry must be strong enough to discourage potential competitors from entering. However, if the number of firms in the market for a specific good or service increases, the perceived value of firms in the market will decrease. Therefore, the likelihood for firms to exit the market is higher, leaving one firm to monopolise the market. The difference between the products or services of a perfect competition and one in a monopoly is if the products or services are differentiated. Thereby, the products or services sold in the monopolistic market are not perfect substitutes for one another.

## Market power of monopoly

Market power is the firm's ability to affect terms and conditions of exchange. A monopoly possesses a substantial amount of market power, however, it is not unlimited. A monopoly is a price maker, not a price taker, meaning that a monopoly has the power to set the market price. The firm in monopoly is the market as it sets its price based on their circumstances of what best suits them.

## Summary of monopoly characteristics

To easily identify a monopoly, it would have one or more of these five characteristics

## See also

Profit margins Risk premium Rate of return

## Sources

- Monopoly price · Wikipedia: https://en.wikipedia.org/?curid=42739265

Source: Wikipedia contributors — https://en.wikipedia.org/?curid=42739265&oldid=1353939980

Licence: CC BY-SA 4.0 — https://creativecommons.org/licenses/by-sa/4.0/

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