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Microeconomics

4.0 Markets

4.2 Equilibrium & Elasticity

1. Equilibrium
   
Equilibrium is a condition which once achieved will continue indefinitely unless one of the variables (economic or non-economic) is altered (
MBB 10th & 11th Eds. Fig. 3.6; PB 4th Ed. Fig. 4.8; 5th Ed. Fig. 3.7).  In the case of markets, the equilibrium price 'clears' the market, that is the quantity demanded by consumers equals the quantity supplied by producers.  
    More generally,
economic theory recognizes three types of equilibrium:

i - general equilibrium: can exist under perfect competition and monopoly or monopolistic competition.  Under perfect competition, it is a static state where all prices are at their long run equilibrium, individuals are spending income to yield maximum satisfaction, and the demand and supply factors of production are equated .  Under monopoly or monopolistic competition, it is the situation where there is no reason for firms to enter or leave an industry, or to expand or contract;

ii - stable equilibrium:  a condition which once achieved continues indefinitely unless there is a change in some non-economic conditions.  Changes in economic conditions will be followed by reestablishment of the original equilibrium. Example: ball resting at the bottom of a cup; shake it and the ball returns to the bottom; and,

iii - unstable equilibrium: a condition which once achieved will continue indefinitely unless one of the variables (economic or non-economic) is altered, and then the system will not return to the original equilibrium and will not come to rest unless there is further alteration of a variable.  Example: ball resting on the top of an overturned cup - shake it and the ball falls off never to return to the same place.

2. Elasticity
   
Elasticity refers to the sensitivity of a variable to change in another variable.  Economic theory recognizes three principal types of elasticity:

i - income elasticity of demand - with all prices constant refers to the percentage change in the quantity of a commodity demanded compared to a percent change in income (MBB not displayed; PB 4th Ed. Fig 5.8; 5th Ed. Fig. not included):

Income Elasticity of Demand = %ΔQ/%ΔY   

ii - price elasticity of demand or supply - refers to the percentage change in the quantity of a commodity demanded or supplied compared to a percentage change in its price (MBB 10th Ed. Fig. 5.1 & Fig. 5.3; MBB 11th Ed. Figs. 4.1 & 4.4; PB 4th Ed. Fig. 5.3 & Fig. 5.11; 5th Ed. Fig. 4.3 & not displayed).  In the case of demand elasticity, however, an increase in price causes a decrease in quantity, that is the demand curve is negatively sloped.  Accordingly, elasticity would b negative.  However, elasticity is always reported in terms of its absolute value regardless of sign (except for inferior goods in calculating the cross elasticity of a complementary or substitute good - see below).

    The amount demanded or supplied can increase:

  • more than proportionately, i.e. elasticity is greater than one - at the extreme a horizontal demand or supply curve is perfectly elastic - a small increase in price results in a large change in the quantity demanded or supplied;

  • proportionately, i.e. elasticity is equal to one (unitary elasticity); or,

  • less than proportionately. i.e. elasticity is less than one (inelastic) - at the extreme, a vertical demand or supply curve is perfectly inelastic - any change in price results in no change in the amount of the commodity demanded or supplied; and,

Price Elasticity of Demand = %ΔQ/%ΔP   

Price Elasticity of Supply = %ΔQ/%ΔP   

iii - elasticity of substitution or cross-elasticity refers to the percentage change in the amount of an input substituted for another in response to a change in their relative prices (MBB not displayed; PB 4th Ed. Fig. 5.7; 5th Ed. Fig. 4.7).  Similarly, the percentage change in the amount of a commodity substituted for another by a consumer in response to a change in their relative prices.  

Cross Elasticity of Demand = %ΔQ/%ΔP c or s     

> 1     (normal good, income elastic)

0 - 1 (normal good, income inelastic)

< 0    (inferior good)

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