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abstract: This dissertation consists of two parts. The first part is about understanding the mechanism behind female labor supply movement over economic development. Female labor force participation follows a U-shape pattern over per capita GDP cross nationally as well as within some countries. This paper questions if this pattern can be explained through sectoral, uneven technological movements both at market and at home. For that I develop a general equilibrium model with married couples and home production. I defined multiple sectors both at home and in the market. And by feeding the model with uneven technological growth, I observe how participation rate moves over development. My results indicate that a decrease in labor supply is mainly due to structural transformation. Meaning, a higher technology in a large sector causes prices to go up in that sector relative to other. Hence, labor allocated to this sector will decrease. Assuming this sector has a big market share, it will decrease the labor supply. Also, I found that the increase in female labor supply is mostly because of movement from home to market as a result of a higher technological growth in the market. The second part is about developing a methodology to verify and compute the existence of recursive equilibrium in dynamic economies with capital accumulation and elastic labor supply. The method I develop stems from the multi-step monotone mapping methodology which is based on monotone operators and solving a fixed point problem at each step. The methodology is not only useful for verifying and computing the recursive competitive equilibrium, but also useful for obtaining intra- and inter-temporal comparative dynamics. I provide robust intra-temporal comparative statics about how consumption and leisure decisions change in response to changes in capital stock and inverse marginal utility of consumption. I also provide inter-temporal equilibrium comparative dynamics about how recursive equilibrium consumption and investment respond to changes in discount factor and production externality. Different from intra-temporal comparative statics, these are not robust as they only apply to a subclass of equilibrium where investment level is monotone. / Dissertation/Thesis / Doctoral Dissertation Economics 2018

In Hicks’s IS-LM model, where it is assumed that production is determined in the goods marketand the interest rate is determined in the money market, when the marginal propensity to spend is greater than one, the IS has a positive slope. Modigliani (1944), Varian (1977) and Sargent (1987) determined that in this special case the IS-LM model is stable when the LM slope isgreater than the IS.In line with Samuelson (1941), this article shows that in this case the model is stable when the IS slope is greater than the LM slope. However, in this stable case the model does not have a useful economic meaning.One solution to this theoretical problem is to abandon the Keynesian adjustment mechanism and replace it with the Classical mechanism where the interest rate is determined in the goods market and production is determined in the money market. In this case, the IS-LM model is stable when the LM is steeper than the IS. / En el modelo IS-LM de Hicks, en el que se asume que la producción se determina en el mercado de bienes y la tasa de interés en el mercado de dinero, cuando la propensión marginal a gastar es mayor que uno, la IS tiene pendiente positiva. Modigliani (1944), Varian (1977) y Sargent (1987), determinaron que en este caso especial el modelo IS-LM es estable cuando la pendiente de la LM es mayor que la de la IS.En línea con Samuelson (1941), este artículo muestra que en este caso especial el modelo es estable cuando la pendiente de la IS es mayor que la de la LM. Sin embargo, en este caso estable, el modelo no tiene un significado económico útil.Una solución a este problema teórico es abandonar el mecanismo de ajuste keynesiano y reemplazarlo por el mecanismo clásico, donde la tasa de interés se determina en el mercado de bienes y la producción en el mercado de dinero. En este caso el modelo IS-LM es estable cuando la LM es más empinada que la IS.

The intent of the thesis is to ascertain whether mitigation of political risk to the IT industry in Panama can be of value to the country by improving the economy and standard of living.