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The use of interval arithmetic in solving a non-linear rational expectation based multiperiod output-inflation process model: The case of the IN/GB method

By Benito A. Stradi-Granados and Emmanuel Haven


This paper was published as European Journal of Operational Research, 2010, 203 (1), pp. 222-229. It is available from Doi: 10.1016/j.ejor.2009.07.027Metadata only entryThe use of interval mathematics to solve non-linear problems is an attractive alternative to traditional real-number techniques. It was demonstrated in a previous paper [Stradi, B., Haven, E., 2005. Optimal investment strategy via interval arithmetic. International Journal of Theoretical and Applied Finance 8(2), 185–205] that interval arithmetic in the form of the Interval-Newton Generalized Bisection (IN/GB) method is effective in solving highly non-linear problems. In this paper we solve a rational expectations models with the help of the IN/GB method. This method is capable of (i) rapidly eliminating no solution sections of the multidimensional space and (ii) concentrate computational efforts on those areas of multidimensional space where there may be a solution

Publisher: Elsevier
Year: 2010
DOI identifier: 10.1016/j.ejor.2009.07.027
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