Tuesday, February 18, 2014

MOVIES - GREAT CONTRIBUTORS TO MATHEMATICAL ECONOMICS - JOHN NASH

John Forbes Nash Junior renamed mathematician which surname is sinonyms of economic equilibria.
Nash Equilibria is a commom reference index of economic textbooks, mainly those on game theory or microeconomic theory. His life were interpreted by Russell Crowe.


http://www.imdb.com/title/tt0268978/?ref_=nv_sr_1


MOVIES - GREAT CONTRIBUTORS TO MATHEMATICAL ECONOMICS - DANIEL ELLSBERG

           In decision theory some paradoxes sourced from von Neumann-Morgenstern utilities, amongst them Ellsberg Paradox  were renamed during the sixties mainly because the properties of vN-M utility function. Daniel Ellsberg, in his short academic life, proposed a paradox to vN-M utility function and his controversial bureaucratic pentagon life was registered in movie.

http://www.imdb.com/title/tt1319726/?ref_=fn_al_tt_1



Saturday, February 15, 2014

Problem Set 3 - Space of Real Numbers (Applied Mathematical Methods to Economics - Summer Course)

Exercises from Corbae, Stinchcombe, and Zeman (2009) – odd ones

Exercise 3.3.17 (Cauchy Sequences)
Exercise 3.3.31 (The Real Numbers: Definition and Basic Properties)
Exercise 3.4.7  (The Completeness of the Real Numbers)
Exercise 3.4.13 (The Completeness of the Real Numbers)
Exercise 3.5.3 (Geometric Sums)
Exercise 3.7.17 (Monotone Sequences)
Exercise 3.8.1 (Products of Sequences and ex)
Exercise 3.9.3 (Lim inf and Lim sup)
Exercise 3.9.5 (Lim inf and Lim sup)
Exercise 3.9.11 (Discount Factors Close to One)