Project Description: Construction of State Transition Matrix for Hypernetwork Evolutionary Game

Module Call Relationship

Game <- StateTransitionGraph
Asynchronous <- Game
Main <- Asynchronous, MatrixOperation

Module Functions:

Main: 
    The main module where all modules are centrally tested
MatrixOperation:
    1. Implementation of the semi-tensor product of matrices
    2. Calculation of the augmented matrix (Model 3)
Game:
    Calculation of the transition matrix under synchronous conditions
Asynchronous:
    Calculation of the transition matrix under asynchronous conditions
StateTransitionGraph:
    Perform some verifications using graph methods
    1. Identify cycles in the graph (mainly used to find fixed points under synchronous conditions, as fixed points in synchronous conditions are necessarily fixed points in asynchronous conditions and also potential evolutionarily stable patterns in asynchronous conditions)
    2. Find the basin of attraction for a specific state
    3. Determine the potential maximum mu value of a specific fixed point
    4. Judge whether it is a mu-ESP