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The Triple Helix of innovation as a double game involving domestic and foreign actors Cover

The Triple Helix of innovation as a double game involving domestic and foreign actors

Open Access
|Feb 2024

Figures & Tables

Figure 1.

Methods for considering foreign actors in the study of the Triple Helix spheres’ contributions to the Triple Helix relationships.
Methods for considering foreign actors in the study of the Triple Helix spheres’ contributions to the Triple Helix relationships.

Figure 2.

Triple Helix sectors output in West Africa and South Korea (2001-2010).
Triple Helix sectors output in West Africa and South Korea (2001-2010).

Figure 3.

Cores of the South Korean games.
Cores of the South Korean games.

Figure 4.

Cores of the West African games.
Cores of the West African games.

Triple Helix sectors output in West Africa and South Korea (2001-2010)_

UIGUIUGIGUIGTotal
South KoreaGlobal#228,6433,50442,2157,52268,7031,2932,463354,343
%64.530.9911.912.1219.390.360.70100
Domestic#241,1954,09249,8736,26246,8011,1161,547350,886
%68.741.1714.211.7813.340.320.44100
Foreign#49,1025959,32062311,26220038071,482
%68.690.8313.040.8715.760.280.53100
West AfricaGlobal#17,062543,9221238,1293411229,436
%57.960.1813.320.4227.620.120.38100
Domestic#17,977796,605612,88714827,631
%65.060.2923.900.2210.450.050.03100
Foreign#7,069512,485373,212235812,935
%54.650.3919.210.2924.830.180.45100

Analytic form and surface area of the cores_

GlobalDomesticForeign
South KoreaAnalytic form64.53xu86.730.99xi4.1711.91xg32.36xu+xi+xg=100$\left\{ {\matrix{ {64.53 \le {x_u} \le 86.73} \cr {0.99 \le {x_i} \le 4.17} \cr {11.91 \le {x_g} \le 32.36} \cr {{x_u} + {x_i} + {x_g} = 100} \cr } } \right.$68.74xu84.301.17xi3.7114.21xg28.31xu+xi+xg=100$\left\{ {\matrix{ {68.74 \le {x_u} \le 84.30} \cr {1.17 \le {x_i} \le 3.71} \cr {14.21 \le {x_g} \le 28.31} \cr {{x_u} + {x_i} + {x_g} = 100} \cr } } \right.$68.69xu85.850.83xi2.5213.04xg29.60xu+xi+xg=100$\left\{ {\matrix{ {68.69 \le {x_u} \le 85.85} \cr {0.83 \le {x_i} \le 2.52} \cr {13.04 \le {x_g} \le 29.60} \cr {{x_u} + {x_i} + {x_g} = 100} \cr } } \right.$
Surface area1.2880.7090.552
West AfricaAnalytic form57.96xu86.380.18xi1.0913.32xg41.44xu+xi+xg=100$\left\{ {\matrix{ {57.96 \le {x_u} \le 86.38} \cr {0.18 \le {x_i} \le 1.09} \cr {13.32 \le {x_g} \le 41.44} \cr {{x_u} + {x_i} + {x_g} = 100} \cr } } \right.$65.06xu75.760.29xi0.5923.90xg34.43xu+xi+xg=100$\left\{ {\matrix{ {65.06 \le {x_u} \le 75.76} \cr {0.29 \le {x_i} \le 0.59} \cr {23.90 \le {x_g} \le 34.43} \cr {{x_u} + {x_i} + {x_g} = 100} \cr } } \right.$54.65xu80.220.39xi1.3119.21xg44.67xu+xi+xg=100$\left\{ {\matrix{ {54.65 \le {x_u} \le 80.22} \cr {0.39 \le {x_i} \le 1.31} \cr {19.21 \le {x_g} \le 44.67} \cr {{x_u} + {x_i} + {x_g} = 100} \cr } } \right.$
Surface area0.5150.0630.464

Shapley values and nucleoli of the games_

Shapley valueNucleolus
uiguig
South KoreaGlobal75.522.4722.0283.922.5813.50
Domestic76.452.3721.1982.082.4415.48
Foreign77.181.5921.2384.441.6813.89
West AfricaGlobal72.110.5827.3285.580.6413.78
Domestic70.410.4429.1675.510.4424.05
Foreign67.360.7831.8779.490.8519.67

Contributions of players to the formation of the cores_

uig(ug)×100u${{(u - g) \times 100} \over u}$
South KoreaGlobal22.213.3820.457.92
Domestic15.562.5414.109.38
Foreign17.161.6816.573.44
West AfricaGlobal28.410.9128.111.06
Domestic10.700.3010.531.59
Foreign25.570.9125.460.43

Characteristic functions of the games_

uiguiugiguig
South KoreaGlobal64.530.9911.9167.6495.8313.27100
Domestic68.741.1714.2171.6996.2915.70100
Foreign68.690.8313.0470.4097.4814.15100
West AfricaGlobal57.960.1813.3258.5698.9013.62100
Domestic65.060.2923.9065.5799.4124.24100
Foreign54.650.3919.2155.3398.6919.78100
DOI: https://doi.org/10.2478/jdis-2024-0004 | Journal eISSN: 2543-683X | Journal ISSN: 2096-157X
Language: English
Page range: 82 - 100
Submitted on: Jun 8, 2023
Accepted on: Jan 8, 2024
Published on: Feb 6, 2024
Published by: Chinese Academy of Sciences, National Science Library
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2024 Eustache Mêgnigbêto, published by Chinese Academy of Sciences, National Science Library
This work is licensed under the Creative Commons Attribution 4.0 License.