Justiça Distributiva, Fairness e Economia Matemática: a Teoria Econômica para além da eficiência de Pareto
Resumo: Este minicurso apresenta e discute a abordagem matemática para o problema alocativo mais fundamental da sociedade na Teoria Econômica: alocação de recursos escassos e com usos alternativos entre fins diversos. Discute-se, em particular, quais outros fundamentos teóricos, para além do critério de Pareto, podem ser adotados para tornar mais completa e precisa a avaliação da sociedade em relação às possibilidades alocativas para ela disponíveis.
Ministrantes:
Jefferson Bertolai (Docente do Depto. de Economia - FEARP/USP)
Mirelle Jayme (Graduanda em Ciências Econômicas - FEARP/USP)
On steady-state money distributions and monetary policy: smoothness in a matching model
Resumo: We study smoothness properties of steady-state (non-degenerate) money distributions in a matching model of money with individual holdings bounded above and indivisible money. It is shown, in particular, that money creation through the monetary policy studied in Deviatov and Wallace (2001) drives steady-state money distributions in a continuous (and differentiable) fashion. We propose a mapping that associates the parameters driving money distribution dynamics (those of monetary policy and monetary payments) to the implied set of stationary distributions. The initial amount of money μ is seen as a monetary policy parameter and the probability money disappears δ is taken simply as a normalization that changes units of measure in order to bring back to μ the (higher) amount of money achieved each period through money creation. The mapping is shown to be pretty well behaved. Except for the case distribution dynamics is trivial (implying that every distribution is stationary), our mapping is shown to be a function that is continuous in its domain and is differentiable at all interior points. Also, the function can be easily computed, since money distribution dynamics is shown to always generate sequences that converge to its unique fixed point (namely, the steady-state distribution). Our full description of the steady-state constraint on money distributions as a well behaved one opens venue for sharper analytical results and simpler numerical approaches in the analysis of optimal monetary policy using matching modeling of money.
Palestrantes:
Jefferson Bertolai (Docente do Depto. de Economia - FEARP/USP)
Nathan Machado (Pesquisador e Pós-graduando em Economia - EPGE/FGV)
Material de Apoio
Notas de aula
Programação de aulas
Aula 01 (10/02: 14h - 15h30): Minicurso
A abordagem tradicional e o Teorema de Arrow
Aula 02 (11/02: 14h - 15h30): Minicurso
Building blocks
Aula 03 (12/02: 14h - 15h30): Minicurso
Um leve contato com a Fronteira do Conhecimento
Palestra (12/02: 16h - 16h50)