Solution of functional difference equations from behavioral theory
โ Scribed by Marc Mangel
- Publisher
- Springer
- Year
- 1986
- Tongue
- English
- Weight
- 463 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0303-6812
No coin nor oath required. For personal study only.
โฆ Synopsis
Behavioral models based on Markovian decision processes lead to functional difference equations for quantities such as the mean lifetime of the forager and the probability of reproductive success of the forager. In this paper, asymptotic and iterative methods are developed for the solution of such equations. The asymptotic methods are compared with numerical simulations. The iterative methods can be proved by a simple application of contraction mapping theorems.
๐ SIMILAR VOLUMES
In this paper we present a theorem on asymptotic behavior of \(W(n, x(n))\) where \(x(n)\) is a solution of the difference equation \(x(n+1)=f(n, x(n)), n \in N^{+}\)and \(W(n, x): N^{+} \times R^{d} \rightarrow R^{+}\)is continuous. As applications we discuss examples which cannot be handled by the
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