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

Eustache Mêgnigbêto
Eustache Mêgnigbêto
   | 06 févr. 2024
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Article Category: Research Papers
Publié en ligne: 06 févr. 2024
Pages: 82 - 100
Reçu: 08 juin 2023
Accepté: 08 janv. 2024
DOI: https://doi.org/10.2478/jdis-2024-0004
Mots clés
© 2024 Eustache Mêgnigbêto, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

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).

U I G UI UG IG UIG Total
South Korea Global # 228,643 3,504 42,215 7,522 68,703 1,293 2,463 354,343
% 64.53 0.99 11.91 2.12 19.39 0.36 0.70 100
Domestic # 241,195 4,092 49,873 6,262 46,801 1,116 1,547 350,886
% 68.74 1.17 14.21 1.78 13.34 0.32 0.44 100
Foreign # 49,102 595 9,320 623 11,262 200 380 71,482
% 68.69 0.83 13.04 0.87 15.76 0.28 0.53 100
West Africa Global # 17,062 54 3,922 123 8,129 34 112 29,436
% 57.96 0.18 13.32 0.42 27.62 0.12 0.38 100
Domestic # 17,977 79 6,605 61 2,887 14 8 27,631
% 65.06 0.29 23.90 0.22 10.45 0.05 0.03 100
Foreign # 7,069 51 2,485 37 3,212 23 58 12,935
% 54.65 0.39 19.21 0.29 24.83 0.18 0.45 100

Analytic form and surface area of the cores.

Global Domestic Foreign
South Korea Analytic form 64.53≤xu≤86.730.99≤xi≤4.1711.91≤xg≤32.36xu+xi+xg=100$$\left\{ {\matrix{ {64.53 \le {x_u} \le 86.73} \cr {0.99 \le {x_i} \le 4.17} \cr {11.91 \le {x_g} \le 32.36} \cr {{x_u} + {x_i} + {x_g} = 100} \cr } } \right.$$ 68.74≤xu≤84.301.17≤xi≤3.7114.21≤xg≤28.31xu+xi+xg=100$$\left\{ {\matrix{ {68.74 \le {x_u} \le 84.30} \cr {1.17 \le {x_i} \le 3.71} \cr {14.21 \le {x_g} \le 28.31} \cr {{x_u} + {x_i} + {x_g} = 100} \cr } } \right.$$ 68.69≤xu≤85.850.83≤xi≤2.5213.04≤xg≤29.60xu+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 area 1.288 0.709 0.552
West Africa Analytic form 57.96≤xu≤86.380.18≤xi≤1.0913.32≤xg≤41.44xu+xi+xg=100$$\left\{ {\matrix{ {57.96 \le {x_u} \le 86.38} \cr {0.18 \le {x_i} \le 1.09} \cr {13.32 \le {x_g} \le 41.44} \cr {{x_u} + {x_i} + {x_g} = 100} \cr } } \right.$$ 65.06≤xu≤75.760.29≤xi≤0.5923.90≤xg≤34.43xu+xi+xg=100$$\left\{ {\matrix{ {65.06 \le {x_u} \le 75.76} \cr {0.29 \le {x_i} \le 0.59} \cr {23.90 \le {x_g} \le 34.43} \cr {{x_u} + {x_i} + {x_g} = 100} \cr } } \right.$$ 54.65≤xu≤80.220.39≤xi≤1.3119.21≤xg≤44.67xu+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 area 0.515 0.063 0.464

Shapley values and nucleoli of the games.

Shapley value Nucleolus
u i g u i g
South Korea Global 75.52 2.47 22.02 83.92 2.58 13.50
Domestic 76.45 2.37 21.19 82.08 2.44 15.48
Foreign 77.18 1.59 21.23 84.44 1.68 13.89
West Africa Global 72.11 0.58 27.32 85.58 0.64 13.78
Domestic 70.41 0.44 29.16 75.51 0.44 24.05
Foreign 67.36 0.78 31.87 79.49 0.85 19.67

Contributions of players to the formation of the cores.

u i g (u−g)×100u$${{(u - g) \times 100} \over u}$$
South Korea Global 22.21 3.38 20.45 7.92
Domestic 15.56 2.54 14.10 9.38
Foreign 17.16 1.68 16.57 3.44
West Africa Global 28.41 0.91 28.11 1.06
Domestic 10.70 0.30 10.53 1.59
Foreign 25.57 0.91 25.46 0.43

Characteristic functions of the games.

u i g ui ug ig uig
South Korea Global 64.53 0.99 11.91 67.64 95.83 13.27 100
Domestic 68.74 1.17 14.21 71.69 96.29 15.70 100
Foreign 68.69 0.83 13.04 70.40 97.48 14.15 100
West Africa Global 57.96 0.18 13.32 58.56 98.90 13.62 100
Domestic 65.06 0.29 23.90 65.57 99.41 24.24 100
Foreign 54.65 0.39 19.21 55.33 98.69 19.78 100
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