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Evolution towards higher net profit in a population of ensembles of ensembles leads to division of labour

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  • Friedrich, Thomas

Abstract

In this model the basic ensemble consists of a source and a sink, three basic ensembles constitute an organism or company (both an ensemble of ensembles) and nine organisms/companies form a population or a branch of industry. Each organism is composed of either connected or unconnected ensembles. Linear cost-functions and saturating benefit-functions create superadditivity (better net profit) through a rational and peaceful transfer of substrate within a basic ensemble. Transfers by force and deception are not jet considered. All ensembles have an identical and limited concentration range and all concentrations are of the same probability. Random mutations change cost factors (cf), Michaelis-Menten constants (Km) and the maximal reaction velocities (Vmax) in source and sink of the basic ensemble. Km and Vmax shape a saturating benefit-function in Michaelis-Menten type enzyme kinetics resembling the utility function in economics. The result of mutations in the basic ensemble is a higher or lower cumulative superadditivity of an organism/company and its master if installed. The most effective organisms or masters prevail within the population. Recombination of ensembles between organisms accelerates evolution. Independent of the starting point and with or without a fix cost I observe the evolution towards strong asymmetry and inequality with a division of labour resulting in the development of a collector and a manufacturer. Although I observe a win-win situation reciprocity will become a necessity.

Suggested Citation

  • Friedrich, Thomas, 2018. "Evolution towards higher net profit in a population of ensembles of ensembles leads to division of labour," MPRA Paper 85517, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:85517
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    File URL: https://mpra.ub.uni-muenchen.de/85517/1/MPRA_paper_85517.pdf
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    References listed on IDEAS

    as
    1. Friedrich, Thomas, 2016. "Aquila non captat muscas :Homo Economicus between exploration and exploitation," MPRA Paper 75601, University Library of Munich, Germany.
    2. Friedrich, Thomas & Köpper, Wilhelm, 2013. "Schumpeter´s Gale: Mixing and compartmentalization in Economics and Biology," MPRA Paper 45405, University Library of Munich, Germany.
    3. Friedrich, Thomas, 2014. "Entanglement by Genes or Shares; Hamilton´s rule of kin selection revisited," MPRA Paper 60267, University Library of Munich, Germany.
    4. Friedrich, Thomas, 2014. "Work cycles of independent ensembles," MPRA Paper 55090, University Library of Munich, Germany.
    5. Friedrich, Thomas, 2015. "The limits of wise exploitation in dependent and independent symmetric ensembles," MPRA Paper 68250, University Library of Munich, Germany.
    6. Nobuto Takeuchi & Paulien Hogeweg & Kunihiko Kaneko, 2017. "The origin of a primordial genome through spontaneous symmetry breaking," Nature Communications, Nature, vol. 8(1), pages 1-11, December.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Friedrich, Thomas, 2023. "A positive net profit strategy and a pure substrate transfer strategy are both necessary for an ensemble to succeed in the presence of a fixed cost," MPRA Paper 117108, University Library of Munich, Germany.
    2. Friedrich, Thomas, 2021. "Deterministic chaos within the transfer space - An unstable fixed point as a narrow ford to complexity through chaos," MPRA Paper 110993, University Library of Munich, Germany.
    3. Friedrich, Thomas, 2019. "Transfers by force and deception lead to stability in an evolutionary learning process when controlled by net profit but not by turnover," MPRA Paper 92724, University Library of Munich, Germany.
    4. Friedrich, Thomas, 2019. "How peaceful is the harmony of source and sink?," MPRA Paper 96764, University Library of Munich, Germany.
    5. Friedrich, Thomas, 2024. "The positive net profit space is a subspace of the transfer space," MPRA Paper 120138, University Library of Munich, Germany.
    6. Friedrich, Thomas, 2020. "Inflation and deflation of the transfer space," MPRA Paper 103402, University Library of Munich, Germany.

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    1. Friedrich, Thomas, 2019. "Transfers by force and deception lead to stability in an evolutionary learning process when controlled by net profit but not by turnover," MPRA Paper 92724, University Library of Munich, Germany.
    2. Friedrich, Thomas, 2016. "Aquila non captat muscas :Homo Economicus between exploration and exploitation," MPRA Paper 75601, University Library of Munich, Germany.
    3. Friedrich, Thomas, 2019. "How peaceful is the harmony of source and sink?," MPRA Paper 96764, University Library of Munich, Germany.
    4. Friedrich, Thomas, 2014. "Entanglement by Genes or Shares; Hamilton´s rule of kin selection revisited," MPRA Paper 60267, University Library of Munich, Germany.
    5. Friedrich, Thomas, 2023. "A positive net profit strategy and a pure substrate transfer strategy are both necessary for an ensemble to succeed in the presence of a fixed cost," MPRA Paper 117108, University Library of Munich, Germany.
    6. Friedrich, Thomas, 2015. "The limits of wise exploitation in dependent and independent symmetric ensembles," MPRA Paper 68250, University Library of Munich, Germany.
    7. Friedrich, Thomas, 2020. "Inflation and deflation of the transfer space," MPRA Paper 103402, University Library of Munich, Germany.
    8. Kenji Itao & Kunihiko Kaneko, 2023. "Transition of social organisations driven by gift relationships," Palgrave Communications, Palgrave Macmillan, vol. 10(1), pages 1-10, December.
    9. Friedrich, Thomas, 2015. "Economic Concepts in Biology – Issues with Hamilton´s rule," MPRA Paper 63381, University Library of Munich, Germany.
    10. Friedrich, Thomas, 2014. "Work cycles of independent ensembles," MPRA Paper 55090, University Library of Munich, Germany.
    11. Friedrich, Thomas, 2021. "Deterministic chaos within the transfer space - An unstable fixed point as a narrow ford to complexity through chaos," MPRA Paper 110993, University Library of Munich, Germany.
    12. Friedrich, Thomas, 2024. "The positive net profit space is a subspace of the transfer space," MPRA Paper 120138, University Library of Munich, Germany.
    13. Kenji Itao & Kunihiko Kaneko, 2021. "Evolution of family systems and resultant socio-economic structures," Palgrave Communications, Palgrave Macmillan, vol. 8(1), pages 1-11, December.

    More about this item

    Keywords

    ensemble; transfer space; benefit; cost; utility; net profit; mutation; recombination; division of labour; asymmetry; inequality; quantity to quality transition; complexity;
    All these keywords.

    JEL classification:

    • A19 - General Economics and Teaching - - General Economics - - - Other
    • P40 - Political Economy and Comparative Economic Systems - - Other Economic Systems - - - General

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