Is it permissible for me to rent my house to a construction company that I know does not obtain building contracts except through widespread bribery in our country?

There is no harm in you renting your house to a contracting company, because the basis of their work is permissible. The fact that they might pay bribes to secure contracts does not make renting to them unlawful. The forbidden bribe is that which is paid to invalidate a right or uphold falsehood. However, that which is given to obtain a right or benefit one is entitled to, there is no sin upon the giver, but rather upon the receiver.