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Research on the unification of dominant and subjectivity of ideological and political education in colleges and universities based on big data technology

Yuming Li

Yuming Li

Lingnan Normal UniversityZhanjiang, China
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Li, Yuming
  
26 sept 2025
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Publicado en línea: 26 sept 2025
Recibido: 04 feb 2025
Aceptado: 06 may 2025
DOI: https://doi.org/10.2478/amns-2025-1068
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© 2025 Yuming Li, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1.

Array simulation changes
Array simulation changes

Figure 2.

Income analysis of tutors conscientiously cultivating students
Income analysis of tutors conscientiously cultivating students

Figure 3.

Cost analysis of tutors conscientiously cultivating students
Cost analysis of tutors conscientiously cultivating students

Figure 4.

Additional income analysis of tutors conscientiously cultivating students
Additional income analysis of tutors conscientiously cultivating students

Payment matrix when the school “ineffective incentives”

Tutor
Carefully cultivate (y) Careless cultivation (1-y)
Student Active learning (x) As + rL − CsAt + (1 − r)L − CtAu + Lu + Eu As − CsAt + EtAu
Passive learning (1 − x) 0At − CtAu 0AtAu

Payment matrix when the school “effective incentives”

Tutor
Carefully cultivate (y) Careless cultivation (1-y)
Student Active learning(x) As + rL − (Cs − Bq)At + (1 − r)L − [Ct − B(1 − q)]Au + Lu + Bu − Cu As − (Cs − Bq)At + EtAu + Bu − Cu
Passive learning (1 − x) 0At − [Ct − B(1 − q)]Au + Bu − Cu 0AtAu + Bu − Cu

Local stability of equilibrium points (Cases 1, 2)

Case 1 Case 1 Case 1 Case 2 Case 2 Case 2
Equalization point det J trJ Stability det J trJ Stability
E1(0, 0, 0) - + Unstable point - + Unstable point
E2(0, 0, 1) - - Unstable point + + Unstable point
E3(0, 1, 0) + + Unstable point + + Unstable point
E4(0, 1, 1) + + Unstable point - - Unstable point
E5(1, 0, 0) + - ESS + - ESS
E6(1, 0, 1) - - ESS - - ESS
E7(1, 1, 0) - - ESS - - ESS
E8(1, 1, 1) + + ESS + + ESS

Three-party game model

Education subject 1 Act 1 Act 2
Education subject 2 Act 1 Act 2 Act 1 Act 2
Education subject 3 Act 1 Revenue value Revenue value Revenue value Revenue value
Act 2 Revenue value Revenue value Revenue value Revenue value

The eigenvalue of the equilibrium point

Equalization point Eigenvalue λ1 Eigenvalue λ2 Eigenvalue λ3
E1(0, 0, 0) As − Cs −Ct Bu − Cu
E2(0, 0, 1) As + Bq − Cs B(1 − q) − Ct −(Bu − Cu)
E3(0, 1, 0) As + rL − Cs Ct Bu − Cu
E4(0, 1, 1) As + rL + Bq − Cs −[B(1 − q) − Ct] −(Bu − Cu)
E5(1, 0, 0) −(As − Cs) L(1 − r) − Ct − Et Bu − Cu
E6(1, 0, 1) −(As + Bq − Cs) L(1 − r) + B(1 − q) − Ct − Et −(Bu − Cu)
E7(1, 1, 0) −(As + rL − Cs) −[L(1 − r) − Ct − Et] Bu − Cu − Eu
E8(1, 1, 1) −(As + rL + Bq − Cs) −[L(1−r)+B(1−q)−Ct−Et]$$ - \left[ {L(1 - r) + B(1 - q) - {C_t} - {E_t}} \right]$$ −(Bu − Cu − Eu)
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Ciencias de la vida, Ciencias de la vida, otros, Matemáticas, Matemáticas aplicadas, Matemáticas generales, Física, Física, otros
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