The higher Cichoń diagram in the degenerate case

For a regular uncountable cardinal $\kappa$, we discuss the order relationship between unbounding and dominating numbers $\mathfrak{b}_{\kappa}$ $\mathfrak{d}_{\kappa}$ on $\kappa$ invariants of higher meager ideal $\mathscr{M}_{\kappa}$. In particular, obtain an almost complete characterization $\mathsf{add}(\mathscr{M}_{\kappa})$ $\mathsf{cof}(\mathscr{M}_{\kappa})$ in terms $\mathsf{cov}(\mathscr{M}_{\kappa})$ $\mathsf{non}(\mathscr{M}_{\kappa})$ numbers, provide models showing that there are no restrictions value degenerate case $2^{\lt \kappa} > \kappa$ except \le \mathsf{non}(\mathscr{M}_{\kappa}) 2^{\kappa}$. The corresponding question for remains open. Our results answer questions joint work author with Brooke-Taylor, Friedman, Montoya [BBFM, Questions 29 32].