The　purpose　of　this　article　is　to　present　a　novel　biobjective　biform　game　framework　for　optimizing　strategy　selection　of　nodes　(agents)　in　bilateral　link　network　formation　under　dual　objectives　of　profit　and　link　security.　First,　in　the　first　part　of　the　noncooperative　game,　we　construct　various　possible　strategy　combinations　(situations)　of　all　players　(nodes)　in　the　network,　which　define　the　competitive　environment　in　the　second　part　of　the　cooperative　game.　Second,　in　the　second　part,　we　derive　coalitions＇　payoffs　under　the　two　objectives　of　profit　and　link　security　and　propose　the　biobjective　Banzhaf　values　to　allocate　the　corresponding　cooperative　games　in　all　strategy　situations.　Then,　a　biobjective　noncooperative　game　is　formed　on　the　basis　of　the　obtained　biobjective　Banzhaf　values.　Third,　we　redefine　Pareto-Nash　equilibriums　(in　the　sense　of　pure　strategies)　and　obtain　the　Pareto-Nash　equilibriums　of　the　biobjective　noncooperative　game　in　the　first　part.　Subsequently,　the　choice　of　the　obtained　Pareto-Nash　equilibriums　is　regarded　as　a　biobjective　group　decision-making　problem,　which　is　solved　by　employing　the　redefined　Borda　choice　function　method　with　objective　weights.　Hence,　we　can　obtain　the　optimal　strategy　choices　of　all　the　nodes　(players)　for　the　entire　bilateral　link　network　formation.　Finally,　numerical　examples　and　comparative　analysis　are　given　to　verify　the　validity　and　applicability　of　the　proposed　models　and　methods.