Nonlinear stochastic effects of substitution — an evolutionary approach
| ISSN: |
1432-1386
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|---|---|
| Keywords: |
Innovation ; Technology ; Master equation ; Survival probability ; Evolution ; O3
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| Source: |
Springer Online Journal Archives 1860-2000
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| Topics: |
Economics
|
| Notes: |
Abstract Technological innovations have been investigated by means of substitution and diffusion as well as evolution models, each of them dealing with different aspects of the innovation problem. In this paper we follow the well known research traditions on self-organisation models of complex systems. For the first time in the literature we show the existence of a specific niche effect, which may occur in the first stage of establishment of a new technology. Using a stochastic Master equation approach, we obtain analytical expressions for the survival probabilities of a new technology in smaller or larger ensembles. As a main result we demonstrate how a hyperselection situation might be removed in a stochastic picture and thresholds against the prevailing of a new technology in a step-by-step process can be overcome.
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| Type of Medium: |
Electronic Resource
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| URL: |
| _version_ | 1798295671658250240 |
|---|---|
| autor | Bruckner, E. Ebeling, W. Montaño, M. A. Jiménez Scharnhorst, A. |
| autorsonst | Bruckner, E. Ebeling, W. Montaño, M. A. Jiménez Scharnhorst, A. |
| book_url | http://dx.doi.org/10.1007/BF01202370 |
| datenlieferant | nat_lic_papers |
| hauptsatz | hsatz_simple |
| identnr | NLM200087835 |
| issn | 1432-1386 |
| journal_name | Journal of evolutionary economics |
| materialart | 1 |
| notes | Abstract Technological innovations have been investigated by means of substitution and diffusion as well as evolution models, each of them dealing with different aspects of the innovation problem. In this paper we follow the well known research traditions on self-organisation models of complex systems. For the first time in the literature we show the existence of a specific niche effect, which may occur in the first stage of establishment of a new technology. Using a stochastic Master equation approach, we obtain analytical expressions for the survival probabilities of a new technology in smaller or larger ensembles. As a main result we demonstrate how a hyperselection situation might be removed in a stochastic picture and thresholds against the prevailing of a new technology in a step-by-step process can be overcome. |
| package_name | Springer |
| publikationsjahr_anzeige | 1996 |
| publikationsjahr_facette | 1996 |
| publikationsjahr_intervall | 8004:1995-1999 |
| publikationsjahr_sort | 1996 |
| publisher | Springer |
| reference | 6 (1996), S. 1-30 |
| schlagwort | Innovation Technology Master equation Survival probability Evolution O3 |
| search_space | articles |
| shingle_author_1 | Bruckner, E. Ebeling, W. Montaño, M. A. Jiménez Scharnhorst, A. |
| shingle_author_2 | Bruckner, E. Ebeling, W. Montaño, M. A. Jiménez Scharnhorst, A. |
| shingle_author_3 | Bruckner, E. Ebeling, W. Montaño, M. A. Jiménez Scharnhorst, A. |
| shingle_author_4 | Bruckner, E. Ebeling, W. Montaño, M. A. Jiménez Scharnhorst, A. |
| shingle_catch_all_1 | Bruckner, E. Ebeling, W. Montaño, M. A. Jiménez Scharnhorst, A. Nonlinear stochastic effects of substitution — an evolutionary approach Innovation Technology Master equation Survival probability Evolution O3 Innovation Technology Master equation Survival probability Evolution O3 Abstract Technological innovations have been investigated by means of substitution and diffusion as well as evolution models, each of them dealing with different aspects of the innovation problem. In this paper we follow the well known research traditions on self-organisation models of complex systems. For the first time in the literature we show the existence of a specific niche effect, which may occur in the first stage of establishment of a new technology. Using a stochastic Master equation approach, we obtain analytical expressions for the survival probabilities of a new technology in smaller or larger ensembles. As a main result we demonstrate how a hyperselection situation might be removed in a stochastic picture and thresholds against the prevailing of a new technology in a step-by-step process can be overcome. 1432-1386 14321386 Springer |
| shingle_catch_all_2 | Bruckner, E. Ebeling, W. Montaño, M. A. Jiménez Scharnhorst, A. Nonlinear stochastic effects of substitution — an evolutionary approach Innovation Technology Master equation Survival probability Evolution O3 Innovation Technology Master equation Survival probability Evolution O3 Abstract Technological innovations have been investigated by means of substitution and diffusion as well as evolution models, each of them dealing with different aspects of the innovation problem. In this paper we follow the well known research traditions on self-organisation models of complex systems. For the first time in the literature we show the existence of a specific niche effect, which may occur in the first stage of establishment of a new technology. Using a stochastic Master equation approach, we obtain analytical expressions for the survival probabilities of a new technology in smaller or larger ensembles. As a main result we demonstrate how a hyperselection situation might be removed in a stochastic picture and thresholds against the prevailing of a new technology in a step-by-step process can be overcome. 1432-1386 14321386 Springer |
| shingle_catch_all_3 | Bruckner, E. Ebeling, W. Montaño, M. A. Jiménez Scharnhorst, A. Nonlinear stochastic effects of substitution — an evolutionary approach Innovation Technology Master equation Survival probability Evolution O3 Innovation Technology Master equation Survival probability Evolution O3 Abstract Technological innovations have been investigated by means of substitution and diffusion as well as evolution models, each of them dealing with different aspects of the innovation problem. In this paper we follow the well known research traditions on self-organisation models of complex systems. For the first time in the literature we show the existence of a specific niche effect, which may occur in the first stage of establishment of a new technology. Using a stochastic Master equation approach, we obtain analytical expressions for the survival probabilities of a new technology in smaller or larger ensembles. As a main result we demonstrate how a hyperselection situation might be removed in a stochastic picture and thresholds against the prevailing of a new technology in a step-by-step process can be overcome. 1432-1386 14321386 Springer |
| shingle_catch_all_4 | Bruckner, E. Ebeling, W. Montaño, M. A. Jiménez Scharnhorst, A. Nonlinear stochastic effects of substitution — an evolutionary approach Innovation Technology Master equation Survival probability Evolution O3 Innovation Technology Master equation Survival probability Evolution O3 Abstract Technological innovations have been investigated by means of substitution and diffusion as well as evolution models, each of them dealing with different aspects of the innovation problem. In this paper we follow the well known research traditions on self-organisation models of complex systems. For the first time in the literature we show the existence of a specific niche effect, which may occur in the first stage of establishment of a new technology. Using a stochastic Master equation approach, we obtain analytical expressions for the survival probabilities of a new technology in smaller or larger ensembles. As a main result we demonstrate how a hyperselection situation might be removed in a stochastic picture and thresholds against the prevailing of a new technology in a step-by-step process can be overcome. 1432-1386 14321386 Springer |
| shingle_title_1 | Nonlinear stochastic effects of substitution — an evolutionary approach |
| shingle_title_2 | Nonlinear stochastic effects of substitution — an evolutionary approach |
| shingle_title_3 | Nonlinear stochastic effects of substitution — an evolutionary approach |
| shingle_title_4 | Nonlinear stochastic effects of substitution — an evolutionary approach |
| sigel_instance_filter | dkfz geomar wilbert ipn albert fhp |
| source_archive | Springer Online Journal Archives 1860-2000 |
| timestamp | 2024-05-06T09:39:55.096Z |
| titel | Nonlinear stochastic effects of substitution — an evolutionary approach |
| titel_suche | Nonlinear stochastic effects of substitution — an evolutionary approach |
| topic | Q |
| uid | nat_lic_papers_NLM200087835 |