An Evolutionary Justification of the Emergence of Leadership Using Mathematical Models
The value and importance of leadership is evident by its prevalence throughout human societies and organizations. Based on an evolutionary argument, models are presented here that provide a mathematical justification as to how and why leadership arose in the first place and then persisted. In this s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-09-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/9/18/2271 |
| _version_ | 1797518316988792832 |
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| author | Daniel Solow Joseph Szmerekovsky Sukumarakurup Krishnakumar |
| author_facet | Daniel Solow Joseph Szmerekovsky Sukumarakurup Krishnakumar |
| author_sort | Daniel Solow |
| collection | DOAJ |
| description | The value and importance of leadership is evident by its prevalence throughout human societies and organizations. Based on an evolutionary argument, models are presented here that provide a mathematical justification as to how and why leadership arose in the first place and then persisted. In this setting, by a <i>leader</i> is meant a person whose overall actions are ultimately responsible for the well-being and survival of the group. The proposed models contain parameters whose values reflect group size, harshness of the environment, diversity of actions taken by individuals, and the amount of group cohesion. Mathematical analysis and computer simulations are used to identify conditions on these parameters under which leadership results in an increased survival probability for the community. |
| first_indexed | 2024-03-10T07:28:10Z |
| format | Article |
| id | doaj.art-919184ea88704b5aa2ffe525c8509bea |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T07:28:10Z |
| publishDate | 2021-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-919184ea88704b5aa2ffe525c8509bea2023-11-22T14:05:53ZengMDPI AGMathematics2227-73902021-09-01918227110.3390/math9182271An Evolutionary Justification of the Emergence of Leadership Using Mathematical ModelsDaniel Solow0Joseph Szmerekovsky1Sukumarakurup Krishnakumar2Department of Operations, Weatherhead School of Management, Case Western Reserve University, Cleveland, OH 44106, USADepartment of Management, Marketing and Finance, North Dakota State University, Fargo, ND 58108, USAHenry E. Riggs School of Applied Life Sciences, Keck Graduate Institute, Claremont, CA 91711, USAThe value and importance of leadership is evident by its prevalence throughout human societies and organizations. Based on an evolutionary argument, models are presented here that provide a mathematical justification as to how and why leadership arose in the first place and then persisted. In this setting, by a <i>leader</i> is meant a person whose overall actions are ultimately responsible for the well-being and survival of the group. The proposed models contain parameters whose values reflect group size, harshness of the environment, diversity of actions taken by individuals, and the amount of group cohesion. Mathematical analysis and computer simulations are used to identify conditions on these parameters under which leadership results in an increased survival probability for the community.https://www.mdpi.com/2227-7390/9/18/2271emergenceevolution of leadershipleadershiporigin of leadership |
| spellingShingle | Daniel Solow Joseph Szmerekovsky Sukumarakurup Krishnakumar An Evolutionary Justification of the Emergence of Leadership Using Mathematical Models Mathematics emergence evolution of leadership leadership origin of leadership |
| title | An Evolutionary Justification of the Emergence of Leadership Using Mathematical Models |
| title_full | An Evolutionary Justification of the Emergence of Leadership Using Mathematical Models |
| title_fullStr | An Evolutionary Justification of the Emergence of Leadership Using Mathematical Models |
| title_full_unstemmed | An Evolutionary Justification of the Emergence of Leadership Using Mathematical Models |
| title_short | An Evolutionary Justification of the Emergence of Leadership Using Mathematical Models |
| title_sort | evolutionary justification of the emergence of leadership using mathematical models |
| topic | emergence evolution of leadership leadership origin of leadership |
| url | https://www.mdpi.com/2227-7390/9/18/2271 |
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