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An Optimal Lower Eigenvalue System

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  • Yingfan Liu

Abstract

An optimal lower eigenvalue system is studied, and main theorems including a series of necessary and suffcient conditions concerning existence and a Lipschitz continuity result concerning stability are obtained. As applications, solvability results to some von‐Neumann‐type input‐output inequalities, growth, and optimal growth factors, as well as Leontief‐type balanced and optimal balanced growth paths, are also gotten.

Suggested Citation

  • Yingfan Liu, 2011. "An Optimal Lower Eigenvalue System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:208624
    DOI: 10.1155/2011/208624
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    References listed on IDEAS

    as
    1. Medvegyev, Peter, 1984. "A General Existence Theorem for Von Neumann Economic Growth Models," Econometrica, Econometric Society, vol. 52(4), pages 963-974, July.
    2. Miller,Ronald E. & Blair,Peter D., 2009. "Input-Output Analysis," Cambridge Books, Cambridge University Press, number 9780521517133.
    3. Miller,Ronald E. & Blair,Peter D., 2009. "Input-Output Analysis," Cambridge Books, Cambridge University Press, number 9780521739023.
    4. Fujimoto, Takao, 1986. "Non-linear leontief models in abstract spaces," Journal of Mathematical Economics, Elsevier, vol. 15(2), pages 151-156, April.
    5. Bidard, Christian & Hosoda, Eiji, 1987. "On Consumption Baskets in a Generalized von Neumann Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(2), pages 509-519, June.
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