estimation of optimum fertilizer rates is needed because of growing economic and environmental concerns. optimum fertilizer rates can be determined by fitting statistical models to yield data collected from n fertilizer experiments. the main goal of this research was to compare and evaluate quadratic, square root, mitscherlich, rectangular hyperbola, linear plus plateau and quadratic plus plate...

The positive relationship between education and sustainable economic development is now widely recognized. This study develops a dynamic model for population and primary education of Pakistan. Primary education sector in Pakistan is operating in both public and private sectors. Pakistan has a clear socioeconomic division of rural and urban areas that get different priorities in allocations of p...

This paper proposes an alternative approach to economic growth with money. The production side is the same as the Solow model, the Ramsey model, and the Tobin model. But we deal with behavior of consumers differently from the traditional approaches. The model is influenced by the money-inthe-utility MIU approach in monetary economics. It provides a mechanism of endogenous saving which the Solow...

Utilizing panel data methods and applying Granger causality tests within a framework of a panel cointegration and error correction model, this paper investigates the relationship between financial development and economic growth for 14 Latin American countries from 1978 to 2011. The empirical results show that when banking sector development indicators are used as proxies for financial developm...

Parameter learning strongly ampli…es the impact of macro shocks on marginal utility when the representative agent has a preference for early resolution of uncertainty. This occurs as rational belief updating generates subjective long-run consumption risks. We consider general equilibrium models with unknown parameters governing either long-run economic growth, rare events, or model selection. O...

We present a model with a complex and a real scalar fields and a potential whose symmetry is explicitly broken by Planck-scale physics. For exponentially small breaking, the model accounts for the period of inflation in the early universe and for the period of acceleration of the late universe or for the dark matter, depending on the smallness of the explicit breaking.

This paper examines the subjective consequence of rising income inequality amidst the rapid economic growth in China. Based on the data from a national representative survey conducted in 2005, we employ multi-level models to show that, while personal income improves life satisfaction, the effect decreases with the level of local economic development; moreover, the rate of local economic growth ...

This study investigates the causal nexus between public expenditure and economic growth in India using cointegration approach and error correction model. The analysis was carried out over the period 1973 to 2012. The Cointegration test result confirms the existence of long-run equilibrium relationship between public expenditure and economic growth in India. The empirical results based on the er...

This paper examines mathematical models in economics and observes that three mutually inconsistent hypotheses concerning models and explanation are widely held: (1) economic models are false; (2) economic models are nevertheless explanatory; and (3) only true accounts explain. Commentators have typically resolved the paradox by rejecting either one of these hypotheses. I will argue that none of...