ðə sˈɛt ɪz ɐ fˈʌŋkʃən ʌvðə pɹˈɛfɹəns ɹᵻlˈeɪʃən fɔːɹ ðɪs ˈeɪdʒənt, ðə pɹˈaɪsᵻz ʌv ɡˈʊdz, ænd ðɪ ˈeɪdʒənts ɛndˈaʊmənt.
The set is a function of the preference relation for this agent, the prices of goods, and the agent's endowment.