Innovation Flashcards
What are 2 main dimensions of innovation?
Product and process innovation
What is product innovation and process innovation?
Product innovation = new goods and services
Process innovation = making existing things more cheaply
Do governments stimulate innovation and are many kinds of innovations public goods?
government also subisidies private investment ( innovation)
Many kinds of innovations are a public good( although most of time their are patents, if there wasn’t this framework, this could have the same effect as public good Prisoners dilemma, as people are free riding the public good.
What is a patent?
basically stops ideas from have elements of a public good ( the idea that ideas are non-depletable), you register your idea and no on can use it. There is needs to a legal framework to establish it.
What is the central dilemma for the government in terms of patents?
If government wants to persuade people to innovate, it wants to give people strong protection for their property rights, but once you have created the innovation you want it to be used as many people as possible, hence you don’t want people to have a monopoly anymore, you want the innovation to spread. ( e.g. pharmaceutical companies, the government want innovations to be spread and lower costs, but undermines incentive of the companies.
So what is this dilemma for patents a trade off between ?
Static efficiency - we want firms to price at MC, and goods to be as cheap as possible
However this is a poor incentive for more innovation
Dynamic efficiency ( difficult for lots of innovation)
We are going to model innovation now,
So suppose that an entrepreneur is contemplating putting effort into inventing a new good - success is unknown/uncertain. ( more effort, the more likelihood of success)
If she is successful, then she can file a patent this will make her a monopolist when selling this new good
and she can earn monopoly profits
If she is unsuccessful then the effort put into it is wasted
We will work with a very simple general equilibrium model with 2 goods
1) old good ( numeraire)
2) A new good whose price is determined endogenously by setting Supply = demand.
Everyone consumes the old good and there is demand for the new good when it comes along
SO WHAT WE ARE GOING TO DO IS
So we have to specify a utility function for consumers for the new good
Then derive the demand function
Then work out the equilibrium price
So firstly in the upcoming model, what do we want to find out?
What is the utility function of the consumers to whom the innovator sells to?
What determines the rate of innovation and whether it is socially optimal the rate that we find.
Where A is the parameter which tells you how valuable the new good is if it comes to being. from the goods and parameter B tells how price senstitive consumers are to price. ( if B is high consumers are very price sensitive.
Why has the utility of the new good a quadratic function?
it is concave in x2 and it will give a linear demand function which is nice to work with.
Consumers have income m comprised of endowments units of x1
we use the price of good one as the numeraire p1 = 1
There are M consumers and a single potential innovator
If she innovates the innovator charges p for each amount of the new
good sold
note that we are using p = p2 but there is no risk of confusion since
p1 = 1.We will ignore the role of the innovator as a consumer
i.e., the innovator only consumes good 1.
she has an endowment of good 1 just like everyone else if she does not
become an innovator.
The innovator commits effort to innovation, effort determines probability of successful innovation
What is the effort cost of achieving innovation probability e? ( similar to moral hazard?
e = 1 you put in so much effort to innovate you will deffo create suttin e = 0 no effort so no innovation.
What will be the timeline for our events with innovation or without innovation?
1) The entrepreneur decides on e which determines the probability that
a new good is invented
2) If the good is not invented then it is business as usual in a world of
only good 1
3) If the good is invented, the entrepreneur commercializes it and
chooses the price at which she will sell it produces an amount of good
4) Whether in situation 2 or 3, production and consumption takes place
determining the utilities of consumers and the entrepreneur
Let look at boring case first, a world with no innovation, how many goods are produced, what is their consumption and ultity?
There is only good one
M + 1 units of the good are produced
everyone sets x1 = m and consumes their endowment
their utility is also m
Now lets look at the more fun case, i.e when the new good has been invented,
What is the demand for the consumer?
sub in budget constraint so it is written in terms of only one good
maxmise the function with respect to x2 then solve for x2
So if the price of the innovation is high i consume less of it.
What are monopoly profits with successful innovation?
M is number of people demanding good.
What are we going to assume about demand if its sold at marginal cost firstly?
What are we going to do with the profit function?
We are going to maxmise the profit function which is a quadratic and madmose with respect to P, then figure out the price the innovator can get for her product
PRICE IS BIGGER THAN MC
Now sub the maxmising price into the profit formula for the innovator and find the maximising profit?
When is profit higher?
the innovation is more useful - higher A
there is a larger potential market - higher M
consumers are less price sensitive ( you can put up price without reducing demand a lot) - lower B