11 Answered Questions for the topic mathematical economics

01/06/20

#### Positive externalities, public goods, game theory, Pigouvian Taxes and The NBA and extra credit question.

This is an extra credit part of a really neat exercise which covers elements of Imperfect markets (Duopsony), game theory, public economics, positive external benefits Pigouvian taxes...
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01/06/20

#### Positive Externalities, Public goods, Pigouvian Taxes and Subsidies Game theory and The NBA part 7.

This is the 7th part of a really neat exercise which covers elements of Imperfect markets (Duopsony), game theory, public economics, positive external benefits Pigouvian taxes and...
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01/06/20

#### Positive Externalities, Public Goods, Pigouvian tax and subsidy schemes game theory and the NBA part 6

This is the sixth part of a really neat exercise which covers elements of Imperfect markets (Duopsony), game theory, public economics, positive external benefits Pigouvian taxes and...
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01/06/20

#### Positive Externalities, Public Goods, Pigouvian Taxes and Subsidies, Game Theory, Duopsony, Cournot- Nash Equilbria and the NBA Part 2

This is a really neat exercise which covers elements of Imperfect markets (Duopsony), game theory, public economics, positive external benefits Pigouvian taxes and subsidies and elements...
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05/16/19

#### Prove that variance of a portfolio cannot exceed variance of individual assets?

When reading on Markowitz's portfolio theory, I stumbled across the fact that in a market with two risky assets, if no short selling is not allowed, the variance of a portfolio consisting of the...
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04/25/19

#### In auction theory, why is my own valuation a random variable?

Auction theory typically (always?) begins by assuming that each bidder's valuation is a random variable. Now, it might seem reasonable (at least from a Bayesian perspective) for you to treat...
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04/16/19

#### Are homothetic preferences monotonic?

I'm trying to understand intuitively what a homothetic preference is, and I am still not quite there. I understand the definition, that a homothetic preference implies that the slope of the...
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04/01/19

#### How accurate is duality?

In economic theory we know that with the use of some calculus, Hotellings Lemma and Sheppards Lemma we can derive a given firms supply function and in term its Profit function.With data of a given...
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03/27/19

#### Negative probabilities - Can we have negative payments in bonds?

In [Half of a Coin: Negative Probabilities](http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.592.2043&rep=rep1&type=pdf), the author mentions bond duration.Suppose we have payments...
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03/19/19

#### Fundamental equations in economics?

For the other sciences it's easy to point to the most important equations that ground the discipline. If I want to explain Economics to a physicist say, what are considered to be the most important...
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03/19/19

#### Calculating rate of growth of per capita income?

Given this question:National income is increasing by 1.5% a year and population by 2.5% a year. What is the rate of growth of per capita income?Attempt: Since per capita income is GDP/ population....
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