Table 2.

Tripartite evolutionary game payment matrix

Agents of the game		Government
Older adults	Smart Senior Care Technology Service Provider	Strict regulation ($x$)	Relaxed regulation ($1-x$)
Use($z$)	Trustworthy($y$)	$\begin{array}{c}\begin{array}{c}{S}_{g1}-M_{g1}-B_c-B_e-N_c-N_e,\hfill \\ N_c+B_c+S_c+M_e-M_{c1},\hfill \end{array}\\ N_e+B_e+H_{e1}-M_e\\ \end{array}$	$\begin{array}{c}\begin{array}{c}-M_{g2}-B_c-B_e,\hfill \\ B_c+M_e+S_c-M_{c1},\hfill \end{array}\\ B_e+H_{e1}-M_e\\ \end{array}$
	Breach of trust ($1-y$)	$\begin{array}{c}\begin{array}{c}{S}_{g1}+L_{c1}-M_{g1}-B_c-B_e-N_e,\hfill \\ B_c+c+M_e-L_{c1}-L_{c2}-M_{c2},\hfill \end{array}\\ L_{c2}+N_e+B_e+H_{e2}-M_e\\ \end{array}$	$\begin{array}{c}\begin{array}{c}-M_{g2}-B_c-B_e-S_{g2},\hfill \\ B_c+c+M_e-M_{c2}-L_{c2},\hfill \end{array}\\ L_{c2}+B_e+H_{e2}-M_e\\ \end{array}$
No use($1-z$)	Trustworthy($y$)	$\begin{array}{c}\begin{array}{c}{S}_{g1}-B_c-N_c-M_{g1},\hfill \\ N_c+B_c-M_{c1},\hfill \end{array}\\ 0\\ \end{array}$	$\begin{array}{c}\begin{array}{c}-M_{g2}-B_c,\hfill \\ B_c-M_{c1},\hfill \end{array}\\ 0\\ \end{array}$
	Breach of trust ($1-y$)	$\begin{array}{c}\begin{array}{c}{S}_{g1}+L_{c1}-M_{g1}-B_c,\hfill \\ B_c+c-L_{c1}-M_{c2},\hfill \end{array}\\ 0\\ \end{array}$	$\begin{array}{c}\begin{array}{c}-M_{g2}-B_c-S_{g2},\hfill \\ B_c+c-M_{c2},\hfill \end{array}\\ 0\\ \end{array}$