EXOD615 The owner is responsible to pay for damage caused by his animal. If your animal inflicts damage, you are responsible to pay for the damage. This law applies to all animals. The Torah used an ox as an example since that was the most common case. (Choshen Mishpat 389:1). If you own a pet and it damages someone's property, you are obligated to pay even when the person who suffered the damage is not aware of his loss. Your attitude should not be, "If he makes a claim against me, then I'll pay." You should take the initiative to reimburse him for his loss. (See Imre Binah, Parshas Yisro) the laws of how much a person has to pay for damage caused by his animals are dealt with in Choshen Mishpot 389-408).