2000
DOI: 10.1093/0198295278.001.0001
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Computable Economics

Abstract: In a discipline such as economics, increasingly devoted to its computational content, the mathematical underpinnings of the computability assumptions of economic fundamentals have not been investigated systematically or reasonably exhaustively. In this book, such an attempt is made for the first time. Choice theory, adaptively rational behaviour, induction, learning, arithmetical games, computational complexity of decision processes, growth theory, and the theory of economic fluctuations are given recursion th… Show more

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Cited by 99 publications
(43 citation statements)
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“…These double threshold dynamics to govern the strength of response of the state to a unit input of control are not emphasized in the usual nonlinear control literature, much less the linear control literature. The effects of adaptive capacity resemble the effects of algorithmic complexity in modeling behavior of human agents in economics (Velupillai 2000): an agent is an effective adaptor when its algorithmic complexity is relatively high.…”
Section: Discussionmentioning
confidence: 99%
“…These double threshold dynamics to govern the strength of response of the state to a unit input of control are not emphasized in the usual nonlinear control literature, much less the linear control literature. The effects of adaptive capacity resemble the effects of algorithmic complexity in modeling behavior of human agents in economics (Velupillai 2000): an agent is an effective adaptor when its algorithmic complexity is relatively high.…”
Section: Discussionmentioning
confidence: 99%
“…Rosser (2003Rosser ( , 2006Rosser ( , 2008, Colander et al (2008) and Mirowski (2012) provided a very interesting discussion about the interdisciplinary dimension of complexity and its influences on economics. Although complexity is a slippery concept, there exists a specialized literature dedicated to "complexity science" in which a lot of different conceptualizations are proposed: hierarchical complexity (Simon, 1962), algorithmic complexity (Chaitin, 1987), stochastic complexity (Rissanen, 1989), dynamic complexity (Day, 1994), computational complexity (Albin and Foley, 1998;Velupillai, 2000), etc. As reported by Horgan (1997, p. 305), Llyod has identified more than 45 definitions of complexity.…”
Section: Econophysics and Complexitymentioning
confidence: 99%
“…14 Surprisingly, there has been very little discussions on bounded rationality within a computability framework. Exceptions include Velupillai (2000) and Vellupilai (2010). Both works advanced several important points.…”
Section: Bounded Rationality: Empirical and Theoretical Developmentsmentioning
confidence: 99%