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Ebook Using Dynamic Programming with Adaptive Grid Scheme for Optimal Control Problems in Economics
Submitted by puput on Mon, 02/22/2010 - 02:13In recent times the lack of closed form solutions of dynamic models with optimizing agents has led to the use of computational methods to solve those models. Closed form solutions are available for special cases such as the linear quadratic control problem, see Ljungqvist and Sargent (2001, ch. 4) and growth models with log-utility. While those special models suffice for the analytical study of a variety of economic problems in more general cases they are not sufficient for a robust analysis of interesting economic problems. For the more general cases numerical methods have been proposed in the literature. A detailed discussion of a variety of numerical methods and a comparison with our proposed method is provided in Section 3 below.
Our paper is concerned with a family of continuous and discrete time dynamic models with optimizing agents whose solutions are most conveniently approached by the method of dynamic programming. Dynamic programming provides the value function and the control variable in feedback form. Yet, the application of numerical methods such as dynamic programming to find the global dynamics in interesting regions of the state space were restricted by the use of fixed grid size techniques. Following Grüne (1997) in this paper an adaptive grid scheme is used for finding global solutions of models with dynamic optimization. As Santos and Vigo-Aguiar (1998), we use numerical value function iteration but we employ local error estimates based on a flexible grid scheme. Since those numerical methods provide us with approximate solutions only, it is essential to have accuracy estimates for the numerical methods employed.
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PDF Ebook 3D Game Engine Design for Mobile Phones with OpenGL ES 2.0
Submitted by antoq on Tue, 11/03/2009 - 07:42This master's project investigated the capabilities of mobile phones to support 3D graphics for games and how to develop for these devices using the OpenGL ES graphics library. A simple 3D game engine was developed that runs on a PC using a OpenGL ES 2.0 emulator library. Additionally, a game prototype was developed using this engine. The report investigates the differences between PC and mobile games, and how the mobile platform affects the design of a 3D game engine. Furthermore, the differences between OpenGL ES 1.1 and 2.0 are described, covering the implications of developing game graphics with shader programs. In conclusion, mobile phones supporting OpenGL ES 2.0 will be available in 2008 and they will probably support 3D graphics approaching the quality of recent PC games. Developing games for these devices would be very similar to developing PC games. The largest differences relating to graphics are the screen size and memory constraints.
Mobile phones constitute an interesting hardware platform for game developers since so many people always carry a phone around with them. However, mobile phones are generally not specifically designed to support gaming, which poses problems for game developers. One of these problems has been that mobile phones traditionally have provided comparatively simple graphics. This thesis aims to evaluate the graphics capabilities of current and upcoming mobile phones, specifically focused on 3D graphics using the OpenGL ES graphics programming interface. OpenGL ES is an adaptation of the OpenGL industry standard aimed at embedded systems, and is available in two main versions: 1.1 and 2.0. This thesis is mainly focused on the later version which supports more advanced graphical effects through the use of shader programs.
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Ebook How Much do Trade and Financial Linkages Matter for Business Cycle Synchronization?
Submitted by puput on Tue, 01/12/2010 - 03:33The last few years have witnessed increasing economic globalization stemming from very rapid growth in trade and financial linkages, among other factors. At least at first sight, one would be tempted to think that tighter trade and financial linkages contribute to the synchronization of business cycles. However, theoretical models do not have a clear prediction regarding the relationship between these variables. In fact, the theoretical literature is able to propose both positive and negative effects on the synchronization of cycles, which may counteract each other. The question is therefore an empirical one, but the empirical literature also reflects these unclear theoretical predictions, as there are a number of diverging results when testing for the influence of trade and financial integration on business cycle comovements, especially because of poor data on financial flows. This paper tries to measure the effect of trade and financial links on business cycle synchronization for a small, open economy, taking Spain as a benchmark. We ask whether these two variables exert a positive or negative influence over the synchronization of output and whether the influence is not only statistically but also economically significant.
The issue is relevant for several reasons. First, more synchronized business cycles would presumably mean a stronger and faster transmission of shocks across countries, which could provide an important reason in favor of international policy coordination. Second, business-cycle synchronization has profound implications for the design and functioning of common currency areas. Third, business cycles in a country are mostly driven by external factors, such as trade and financial linkages, domestic policy aimed at economic stabilization or even policy coordination itself is bound to have a smaller impact. In the same vein, if trade linkages lead to business cycle synchronization, external demand will not manage to dampen economic fluctuations, but quite the opposite. This implies that exchange rate policy will be unlikely to play an important role in boosting demand at times of low economic activity.
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