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Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 672))

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Abstract

In this chapter, we consider algorithms for asymptotic transition to balanced growth in models of economic systems that use Leontief technologies. The first algorithm assumes that all sectors, when determining their output plans, choose a single projected value of their sales expansion rate. It also assumes that no sector is given priority with respect to receiving resources in short supply. The second algorithm differs from the first one in that planning is now based on observed demand. Both algorithms use the same mechanism of resource distribution whereby order sizes are adjusted to comply with adjusted output plans. We show that the alternative resource distribution algorithm, which distributes resources in proportion to demand, can cause a limit cycle in the sequence of normalized outputs. We consider mechanisms used by sectors to agree on estimates of the expansion rate, which are necessary when planning production.

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References

  • Abramov AP (2011) Sbalansirovannyj rost v modeljah decentralizovannoj ekonomiki (Balanced growth in models of decentralized economy). Librokom, Moscow

    Google Scholar 

  • Abramov AP (2009) Reaching the turnpike path of balanced growth in the model of a closed decentralized economy. Math Models Comput Simul 1(1):105–112

    Article  Google Scholar 

  • Ashmanov SA (1984) Vvedenie v Matematicheskuju Ekonomiku (Introduction to mathematical economics). Nauka, Moscow

    Google Scholar 

  • Belenky VZ, Slastnikov AD (1994) Ravnovesnaja dinamika zamknutogo rynka monoproduktovyh proizvodstv (The equilibrium dynamics of a closed market of mono-product industries). Econ Math Methods 30(4):112–128

    Google Scholar 

  • Birman I (1978) From the achieved level. Sov Stud 30(2):153–172. doi:10.1080/ 09668137808411178

    Article  Google Scholar 

  • Ferguson B, Lim G (2003) Discrete time dynamic economic models: theory and empirical applications. Routledge, London

    Book  Google Scholar 

  • Gale D (1956) The closed linear model of production. In: Kuhn HW, Tucker AW (eds) Linear inequalities and related systems. Princeton University Press, Princeton

    Google Scholar 

  • Horn RA, Johnson CR (1985) Matrix analysis. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Mankiw NG (2010) Macroeconomics, 7th edn. Worth Publishers, New York

    Google Scholar 

  • Razumikhin BS (1974) Zadacha o vyhode jekonomiki na magistral’ sbalansirovannogo rosta (The problem of a balanced growth turnpike for an economy). Avtomat i Telemekh (Autom Rem Control) 35(9):119–123

    Google Scholar 

  • Rudin W (1976) Principles of mathematical analysis, 3rd edn. McGraw-Hill, New York

    Google Scholar 

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Abramov, A.P. (2014). Transition to Balanced Growth. In: Balanced and Cyclical Growth in Models of Decentralized Economy. Lecture Notes in Economics and Mathematical Systems, vol 672. Springer, Cham. https://doi.org/10.1007/978-3-319-07917-2_3

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