Plastic does not have the antibacterial properties of wood, and it does not look anywhere as good, but it does have two advantages: It can be put in the dishwasher, and it is very cheap. Plastic products are not very sustainable, but this might not matter if price is your main criteria.
There are some good rubber cutting boards available, but they are still not anywhere as nice looking at a wooden cutting board. If you have a beautiful kitchen, wood is the way to go.