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Analyzing the Relationship between Supervisors and Post-Graduates Based on Differential Game Theory.

Fangfang Liu1, Ning Fan2, Jiangjun Zhu2

  • 1School of Marxism, Chang'an University, Xi'an 710064, China.

Behavioral Sciences (Basel, Switzerland)
|May 26, 2023
PubMed
Summary

A cooperative relationship significantly boosts academic progress and community benefit between supervisors and postgraduates. This study models these dynamics using differential game theory, finding cooperative approaches yield 22% higher outcomes.

Keywords:
benefitdifferential gamesupervisor–postgraduate relationshipsystem dynamics

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Area of Science:

  • Game Theory
  • Academic Development
  • Social Dynamics

Background:

  • Healthy supervisor-postgraduate relationships are vital for academic success and personal growth.
  • Quantitative analysis of these relationships is essential for understanding optimal dynamics.

Purpose of the Study:

  • To quantitatively model the supervisor-postgraduate relationship using differential game theory.
  • To compare cooperative, non-cooperative, and Stackelberg game scenarios.
  • To analyze the impact of model parameters on academic and community benefits.

Main Methods:

  • Mathematical modeling of evolutionary dynamics in the supervisor-postgraduate community.
  • Construction of objective functions for maximizing individual and community benefits.
  • Formulation and solution of differential game models for non-cooperative, cooperative, and Stackelberg scenarios.

Main Results:

  • The cooperative scenario resulted in a 22% increase in optimal academic level and total community benefit compared to non-cooperative and Stackelberg scenarios.
  • Analysis of model parameters revealed specific thresholds influencing outcomes in the supervisor-led Stackelberg game.
  • Increased sharing cost ratio beyond a certain level does not further enhance the supervisor's optimal benefit.

Conclusions:

  • Cooperative strategies significantly enhance academic achievement and overall benefit in supervisor-postgraduate relationships.
  • Differential game theory provides a robust framework for analyzing and optimizing these academic collaborations.
  • Understanding parameter influences is key to maximizing benefits in different game-theoretic structures.