ujm: what if the husband refuses to go to beis din?
besalel: Then he is in contempt of beis din. Or in technical terms, the beis din will issue a siruv declaring him to be mesarev ldin. Which has certain negative consequences for him, such as he cannot be honored, people cannot engage in business with him or socialize with him, etc.
But he doesn’t have an obligation to give a Get at this point since no beis din trial was held after which the dayanim considered whether or not he’s obligated to give a Get. Until and unless that occurs he doesn’t have a halachic obligation to give it.
He does have a halachic obligation to show up in beis din and permit a trial to determine whether or not he’s obligated to give a Get.
or he plays the system by agreeing to one beis din and then setting a trial date and then not showing up and arguing that he wants a different beis din (which is not even permitted by halacha). what then?
Once the parties mutually agreed to a specific beis din, neither party can unilaterally withdraw from that beis din. But until they mutually selected a beis din to hear their dispute, the defendant (which will generally be the husband if it is a case of the wife opening a beis din case as a plaintiff demanding a Get) has the upper hand in selecting a beis din.