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.
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Abstract
Rational net profit maximization or caring transfers according purely to need are two competing ideas seemingly excluding each other. Within the model “transfer space” I show that both strategies are necessary for an ensemble to succeed in the presence of a fixed cost. The transfer space of an ensemble consists of two parties, a source and a sink. Both parties have linear cost functions and saturating benefit functions. Both functions are dependent on the substrate concentration. In the presence of a fixed cost the net profit of a single party is negative at low and high concentrations. An ensemble striving for superadditive net profit is unable to overcome the initial phase of negative net profit within sink as sink is inactive and a forced small test transfer results in subadditivity. This strategy is unable to start in the presence of a fixed cost. The substrate transfer strategy is able to overcome the initial phase of negative net profit and subadditivity with patient transfers and enters the phase of superadditivity. This strategy fails later when the superadditivity turns into subadditivity again. This strategy is unable to stop the transfer. Successful ensembles use both strategies in sequence. Ensembles of strangers and entangled ensembles transfer substrate when the success factor is sufficient. Entanglement reduces the necessity for a high success factor. A mistaken assumption of genetic entanglement within a not entangled ensemble harms performance. No ensemble can compete successfully with less quantity and less quality than the competitor.
Item Type: | MPRA Paper |
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Original Title: | 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. |
English Title: | 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. |
Language: | English |
Keywords: | source; sink; ensemble; net profit; benefit factor; cost factor; superadditivity; subadditivity; transfer strategy; net profit strategy; entanglement; quality; quantity |
Subjects: | Z - Other Special Topics > Z0 - General > Z00 - General |
Item ID: | 117108 |
Depositing User: | Thomas / T Friedrich |
Date Deposited: | 21 Apr 2023 08:49 |
Last Modified: | 21 Apr 2023 08:50 |
References: | 1. Friedrich T (2018) Evolution towards higher net profit in a population of ensembles of ensembles leads to division of labour. MPRA paper 85517 2. Friedrich T (2020) Inflation and Deflation of the transfer space. MPRA paper 103402 3. Friedrich T (2021) Deterministic chaos within the transfer space - An unstable fixed point as a narrow ford to complexity through chaos. MPRA paper 110993 4. Friedrich, T (2016) Aquila non captat muscas: Homo Economicus between exploration and exploitation. MPRA paper 75601 5. Maslowska, K H, Makiela‐Dzbenska, K and Fijalkowska I J (2019) The SOS system: A complex and tightly regulated response to DNA damage. Environ Mol Mutagen. 60(4): 368–384. 6. Friedrich, T (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 7. Friedrich, T (2014) Entanglement by Genes or Shares; Hamilton´s rule of kin selection revisited. MPRA paper 60267 8. Friedrich, T (2015) Economic Concepts in Biology – Issues with Hamilton´s rule. MPRA paper 63381 9. Friedrich, T and Köpper, W (2013) Schumpeter´s Gale: Mixing and compartmentalization in Economics and Biology. MPRA paper 45405 10. Carneiro R L, (2000) The transition from quantity to quality: A neglected causal mechanism in accounting for social evolution. PNAS 97 (23) 12926-12931 11. Van Oystaeyen A, Alves DA, Oliveira RC, Nascimento DL, Nascimento FS, Billen J, Wenseleers T. (2013) Sneaky queens in Melipona bees selectively detect and infiltrate queenless colonies. Anim. Behav. 86, 603–609. (doi:10.1016/j. anbehav.2013.07.001) 12. Grüter C, Jongepier E, Foitzik S. (2018) Insect societies fight back: the evolution of defensive traits against social parasites. Phil. Trans. R. Soc. B373: 20170200.http://dx.doi.org/10.1098/rstb.2017.0200 13. Auld SKJR, Tinkler SK, and Tinsley MC. (2016) Sex as a strategy against rapidly evolving parasites. Proc. R. Soc. B283:20162226. http://dx.doi.org/10.1098/rspb.2016.2226 14. Keller, L Ross, K G (1998) Selfish genes: a green beard in the red fire ant. Nature (London). Vol 394, 6693, pp 573-575 |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/117108 |