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hWhat is positive economics?
objective and fact-based where the statements are precise, descriptive, and clearly measurable. These statements can be measured against tangible evidence or historical instances.
What is normative economics
subjective and value-based, originating from personal perspectives or opinions dependent on notions of welfare
Is this a normative question ‘Are people better off if they know their habit formation tendencies’
Yes as what is better off? It is subjective
How do economists approach the Kitty Genovese Problem and how do they model this
They care about just one person calling the police:
* Each person helps with probability p
* Probability no one helps is (1-p)^n
Thus, probability that at least one person helps is
1-(1-p)^n
What is the set-up of the Kitty Genovese Game
public goods problem
What assumptions do we make about the players in the Kitty Genovese Model
- Rationality- each neighbour has a belief about the behaviour of other neighbours and best responds to that
- Beliefs are correct
what does the P(calling) being between 0<p<1 imply
Neighbour is indifferent between calling or not calling such that their expected payoff is the same whether they call or not, giiving them no incentive to deviate.
Payoff from calling = Payoff from not calling
Find the implied solution from the neighbour being indifferent between calling or not calling
What does this solution imply
As n increases, the probability that someone calls the police decreases
Draw the game theory matrix for the Kitty Genovese Game and identify the nash equilibriums
2 nash equilibriums in top right and bottom left. Explain why.
B and D
Moral Decay - Normative
Should- Normative
Define consumption bundle
The bundle of goods consumed
What consumption bundle will a rational agent always consume
the bundle that optimises her preferences given her income and the prices of the goods that are avaliable
What is the budget line
P(x1)X1 + P(x2) X2 = Y
what is always the y,x intercept and gradient of the budget line
y intercept: x1/Y
x intercept: x2/Y
gradient: -P(x2)/P(x1)
Where is the optimal consumption bundle on a graph + the optimal consumption rule
gradient of indifference curve = gradient of budget line
(exchange rate in market = exchange rate in preferences)
Define a company
a social organisation that buys or hires productive inputs, coordiantes them in production to produce goods and services, and then sells the output
Our assumptions about firms
- Decision making carried out by one agent (avoids principal-agent problem)
- Firm objective is profit maximisation
- Profit = Revenue - Oppostunity Costs
How is a firm restrictied in the short run compared to the long run
Short run, at least one input factor is fixed.
What is the production function
q=q(l,k) - the higher number of unit ouputs given l units of labour and k units of capital
q=output/unit time
l = people-days labour/unit
k= (machine days)/unit time
Marginal Product of Labour
By how much does output increase if we employ one more unit of labour
NOTICE CURLY D, because partial derivative of q(l,k) w.r.t L
Marginal Product of Capital
By how much does output increase if we employ one more unit of capital
What are the 2 general types of production functions
- Fixed Coefficients Production function (Pedagogical)
- Variable coefficients
Fixed coefficient production functions
Labour and Capital must always be used in fixed proportions e.g. 2 brewer hours and 1 brewing system to produce 1 pint per hour.
Variable Coefficient Production Functions
Marginal product of each factor increases then decreases but always remains positive
With variable coefficient production, what does the marginal product of a factor depend on
Provide the usual assumption and graph of the variable coefficients production function.
Depends on the quantitites used of all factors. L and K become cooperant factors
Usual Assumption:
If k increases holding L constant then MPL rises
If L increases holding K constant then MPK rises
What are the different returns to scale and what are the implications for the plant size.
figure out decreasing returns implications
Assumptions about returns to scale
Production functions displays firstly increasing and then decreasing returns to scale over a range of output
–> implies there is an efficient level of production
Assumptions of a rational consumer
- Completeness
- Transitivity
- Continuity
- Non-Satiation
- Convexity
What is completeness
Ability of a consumer to choose between options or be indifferent
What is transitivity
if x>y and y>z, then x>y
What is continuity
a technical assumption
what are the main 3 assumptions that allow us to use a utility function to represent preferences
Completeness, Transitivity, continuity
What is non satiation
What is the key implication of non-satiation
- Indifference curve slope downwards and the preferred set is above the indifference curve
What is convexity and the key implication
Convexity means a preference for averages
What is the implication of non-convex preferences
A preference for extremes rather than averages
What are the main styles of preferences
- Cobb Douglas
- Quasi-Linear
- Perfect substitutes
- Perfect Complements
- Non-Convex
What is the Cobb Douglas Function and what does it look like
u(x1,x2) = (x1)^a* (x2)^B
where a>0 and B>0
What is the Quasi Linear Function and what does it look like
u(x1,x2) = x1 + v(x2)
or
u(x1,x2) = v(x1) + x2
where v(0)=0, v’(.)>0 and v’’(.)<0
What is the Perfect Subtitutes Function and what does it look like
u(x1,x2) = ax1 + Bx2
where a>0 and B>0
What is the Perfect Complements Function and what does it look like
u(x1,x2) = min(ax1,Bx2) where a>0 and B>0
What is the Non-convex Function and what does it look like
u(x1,x2) = a(x1)^2+B(x2)^2
where a>0 and B>0
Uncompensated demand function maximised subject to…
x1(p1,p2,m) and x2(p1,p2,m) subject to:
- Budget constraint
- Non Negativity constraints x1>0, x2>0
Also called Marshallian Demand
What are the steps to find uncompensated demand
- Find MRS and Price Ratio
- Check non-satiation and convexity satisfied, explain implications
- Find MRS=Price Ratio
What is a general rule for cobbs douglas funcitons with the form
u(x1,x2) = (x1) ^ a * x2 ^ 1-a
P1X1(p1,p2,m) = am
p2x2(p1,p2,m)= (1-a)m
How is the demand curve derived from indifference curves
Demand is derived when holding fixed prices of other products as well as income and tastes
PED
give ab example of finding PED from cobb douglas
YED and example
XED and example
Complements
commodity pairs that the consumer likes to consume jointly
Substitutes
Commodity-pairs whre one commodity is consumed to the exclusion of the other
How does complementary nature effect relative price changes
Less sensitive as what matters is the price of the bundle.
What are the 2 main effects when a price changes
- Price Ratio Changes: one good cheaper relatively (substitution effect)
- Consumer feels richer or poorer (income effect)
What is the Hicksian method of decomposition
Hicksian: Take new budget line and move it parallel till it hits the original indifference curve. Creates new point (A’)
From A —> A’ will be just substitution effect (as price ratio same)
From A’ –> B will be just income
What is the slutsky method of decomposition
- Start with original budget line and move it parallel until you can afford original consumption
- Reoptimise to form a new optimal consumption bundle
move from A –> A’ as substitution effect as income eliminated
Move from A’ –> B is income effect
what are the effects of income and substitution on quantity consumed
Substitution: always go for cheaper product
Income: dep. on YED
Combined effect depends on which is stronger (if opposing)
Decompose this with the Hicksian method.
Determine the effects of the income and substitution effect, and thus wherever each good is a normal or inferior good.
How is a Giffen Good defined in income and substitution effects
If the income effect outweights the substitution effect
draw the graph of sandwhich and sushi when sushi is an inferior good and sandwhich is a normal good
Draw the effect of a an increase in the price of sushi if sushi is a giffen good
What are the 3 main ways to measure the effect that the price change had on the consumer
- Compensating Variation - ‘How much money should we give the consumer so that they will be exactly as well off as before the price change’
- Equivalent Variation - ‘How much money would the consumer be willing to pay to avoid the price change’
- Consumer Surplus
What is the difference between compensated and uncompensated demand and how they are calculated
- Uncompensated (Marshallian) Demand maximises utility given prices and income - x1(p1,p2,m)
Fix income + prices (fix budget line). Then get onto highest possible indifference curve
- Compensated (Hicksian) Demand minimises the cost of obtaining utility at prices - h1(p1,p2,u)
FIx utility and prices to fix indifference curve and gradient of budget line. Get onto lowest possible budget line.
How can the substitution effect be quantified
Change in x1 through substitution is approximately
dh1/dp1 * change in p1
How can the income effect be quantified
Price rise –> income falls by x1* change in price
dx1/dm(x1change in price)
Considering the quantification of income and substitution effects, how do you combine this
substitution effect - income effect
When is consumer surplus=compensating variation=equivalent variation
price change is small
No income effect
In general, consumer surplus is in between the the measures
what is the base weighted price indicies formula
When production function q(l,k) is used, what is the total costs equation
W = wage rate, r= capital rental price, L= quantity of labour, k= quantity of capital
C= wl + rk
What are the conventional fixed and variable costs
Convential to take k as fixed and L as variable
(distinguish between fixed and sunk costs)
What is total cost in the short run
C(q) = F + wl(q)
F= rk0 = fixed costs
(plant size)
what is the short run variable cost function
V(q) = C - F
thus, V(q) = wl(q)
what is the marginal cost function in SR and what is it equivalent to in terms of MPL and wage
What are the Average Total Costs (ATC)