Final answer:
The right that allows property owners to keep others off their property and prosecute trespassers is known as property rights. These rights, which encompass the legal ownership and control of property, are essential for resolving disputes and defining responsibilities.
Step-by-step explanation:
The right that allows a property owner to keep others off of their property and to prosecute trespassers is part of the broader concept of property rights. These rights are related to the legal ownership of property and provide the owner with the authority to control access and use. As noted by economist Ronald Coase, clearly defined property rights are essential for resolving disputes and determining legal responsibilities regarding property. For instance, whether a farmer has the right to prevent his field from being burned or if a railroad has the right to run their trains on specific tracks hin_ges upon the clarity of their respective property rights. Similarly, contractual rights are based on property rights, allowing property owners to enter into contracts over the use of their property and seek legal recourse if those contracts are breached.