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New progress on L.K. Hua’s optimization theory of economics. (Chinese. English summary) Zbl 1513.91009

Summary: The paper consists of three parts. The first one is from the ergodic theorem of Markov chain to L.K. Hua’s fundamental theorem on the optimization of economics. The second one is the Hua’s revised version and the author’s modification of Hua’s theorem. The third one is the computational algorithms on the maximal eigenpair of the structure matrix in the economic system. Some examples are illustrated.

MSC:

91B02 Fundamental topics (basic mathematics, methodology; applicable to economics in general)
60J20 Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.)
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