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Models of Growth Under Pressure. / Kolokoltsov, Vassili N.; Malafeyev, Oleg A.

Springer Series in Operations Research and Financial Engineering. Springer Nature, 2019. p. 89-108 (Springer Series in Operations Research and Financial Engineering).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

Harvard

Kolokoltsov, VN & Malafeyev, OA 2019, Models of Growth Under Pressure. in Springer Series in Operations Research and Financial Engineering. Springer Series in Operations Research and Financial Engineering, Springer Nature, pp. 89-108. https://doi.org/10.1007/978-3-030-12371-0_4

APA

Kolokoltsov, V. N., & Malafeyev, O. A. (2019). Models of Growth Under Pressure. In Springer Series in Operations Research and Financial Engineering (pp. 89-108). (Springer Series in Operations Research and Financial Engineering). Springer Nature. https://doi.org/10.1007/978-3-030-12371-0_4

Vancouver

Kolokoltsov VN, Malafeyev OA. Models of Growth Under Pressure. In Springer Series in Operations Research and Financial Engineering. Springer Nature. 2019. p. 89-108. (Springer Series in Operations Research and Financial Engineering). https://doi.org/10.1007/978-3-030-12371-0_4

Author

Kolokoltsov, Vassili N. ; Malafeyev, Oleg A. / Models of Growth Under Pressure. Springer Series in Operations Research and Financial Engineering. Springer Nature, 2019. pp. 89-108 (Springer Series in Operations Research and Financial Engineering).

BibTeX

@inbook{acc548e860b640109b014d22491470d6,
title = "Models of Growth Under Pressure",
abstract = "The results of this chapter extend the results of Chapters 2 and 3 to the case of a countable state space of small players, and moreover, to the case of processes that allow for a change in the number of particles (thus going beyond the simple migrations that we have played with so far), where physical particles correspond in this setting to the coalitions (stable groups) of agents. This extension is carried out in order to include important models of evolutionary coalition-building, merging and splitting (banks, subsidiaries, etc.), strategically enhanced preferential attachment, and many others. The mathematics of this chapter is more demanding than in the rest of our presentation, and its results are not used in other parts of the book. It is based on some elements of infinite-dimensional analysis, the analysis of functions on the Banach space of sequences (Formula Presented) and of the ODEs in this space. We begin with brief description of the tools used.",
author = "Kolokoltsov, {Vassili N.} and Malafeyev, {Oleg A.}",
note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2019",
doi = "10.1007/978-3-030-12371-0_4",
language = "English",
series = "Springer Series in Operations Research and Financial Engineering",
publisher = "Springer Nature",
pages = "89--108",
booktitle = "Springer Series in Operations Research and Financial Engineering",
address = "Germany",

}

RIS

TY - CHAP

T1 - Models of Growth Under Pressure

AU - Kolokoltsov, Vassili N.

AU - Malafeyev, Oleg A.

N1 - Publisher Copyright: © 2019, Springer Nature Switzerland AG. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2019

Y1 - 2019

N2 - The results of this chapter extend the results of Chapters 2 and 3 to the case of a countable state space of small players, and moreover, to the case of processes that allow for a change in the number of particles (thus going beyond the simple migrations that we have played with so far), where physical particles correspond in this setting to the coalitions (stable groups) of agents. This extension is carried out in order to include important models of evolutionary coalition-building, merging and splitting (banks, subsidiaries, etc.), strategically enhanced preferential attachment, and many others. The mathematics of this chapter is more demanding than in the rest of our presentation, and its results are not used in other parts of the book. It is based on some elements of infinite-dimensional analysis, the analysis of functions on the Banach space of sequences (Formula Presented) and of the ODEs in this space. We begin with brief description of the tools used.

AB - The results of this chapter extend the results of Chapters 2 and 3 to the case of a countable state space of small players, and moreover, to the case of processes that allow for a change in the number of particles (thus going beyond the simple migrations that we have played with so far), where physical particles correspond in this setting to the coalitions (stable groups) of agents. This extension is carried out in order to include important models of evolutionary coalition-building, merging and splitting (banks, subsidiaries, etc.), strategically enhanced preferential attachment, and many others. The mathematics of this chapter is more demanding than in the rest of our presentation, and its results are not used in other parts of the book. It is based on some elements of infinite-dimensional analysis, the analysis of functions on the Banach space of sequences (Formula Presented) and of the ODEs in this space. We begin with brief description of the tools used.

UR - http://www.scopus.com/inward/record.url?scp=85098062304&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-12371-0_4

DO - 10.1007/978-3-030-12371-0_4

M3 - Chapter

AN - SCOPUS:85098062304

T3 - Springer Series in Operations Research and Financial Engineering

SP - 89

EP - 108

BT - Springer Series in Operations Research and Financial Engineering

PB - Springer Nature

ER -

ID: 72679285