This paper extends the Brander-Spencer (1985) model by considering market uncertainty, exploring nonlinear policy, and examining ̄rms' choices of strategic variables. By investigating the interrelationship between trade policy and market conduct, we ̄nd that unlike the oftenstudied linear policy, a nonlinear policy can in°uence the domestic ̄rm's choice of strategic variables and hence alter th...

We now move on to a very interesting and powerful technique in combinatorics, called the probabilistic method. There is an excellent (really excellent!) textbook written by Noga Alon and Joel Spencer [AS16]. In fact, most materials that we will cover are from [AS16]. The method works as follows. Our goal is to prove the existence of certain object or structure with desired properties. We start ...

For this thesis, several tools for dynamic model development were developed and analyzed. Dynamic models can be used to simulate and optimize the behavior of a great number of natural and engineered systems, from the movement of celestial bodies to projectile motion to biological and chemical reaction networks. This thesis focuses on applications in chemical kinetic systems. Ordinary differenti...

The fall of tsarism in Russia in 1917 was the culmination of many factors. It is perhaps widely noted that Nicholas II was not suited to his role as Tsar, mainly due to his character and personality. Resentment of his wife and her involvement with the mystical Rasputin was also widespread and helped contribute to the collapse of the monarchy. Also the state of the country during World War One l...

This paper analyzes export subsidies (price incentives) and export quotas (quantity controls) in the Brander-Spencer (1985) model when policy makers have limited information on demand and cost structures. We examine necessary or sufficient information for policy makers to determine the right policies. It is crucial that they know the elasticity values of the slope of the inverse demand curve an...

Buss and Spencer's monograph is an impressive achievement that is sure to have a lasting impact on the field of child development. The dynamic field theory (DFT) model that forms the heart of this contribution is ambitious in scope, detailed in its implementation, and rigorously tested against data, old and new. As such, the ideas contained in this fine document represent a qualitative advance ...