Hamilton-Jacobi-Bellman equation with multiple equilibria
Malte Sieveking
No 68, Computing in Economics and Finance 2001 from Society for Computational Economics
Abstract:
The paper presents a correctnes proof as well as an implementation in maple of an algorithm to compute the value function of infinite horizon optimal control problems with a single state variable. It proceeds as follows: step1:compute candidates for equilibria(from the HJB); step2:for each candidate as initial value solve the corresponding ODE initial value problem derived from the HJB; step3: take the max of all these solutions.It is the value function. The algorithm avoids iterations and shows equilibria and Skiba points, if they exist. solutions
Keywords: Hamilton -Jacobi-Bellman equation; multiple equilibria (search for similar items in EconPapers)
JEL-codes: C2 C6 C8 (search for similar items in EconPapers)
Date: 2001-04-01
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Persistent link: https://EconPapers.repec.org/RePEc:sce:scecf1:68
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