Single request architecture for increasing efficiency of secure multi-party computations

A system comprising:

• one or more processors;
• and
• one or more storage devices storing instructions that, when executed by the one or more processors, cause the one or more processors to perform operations comprising:
• receiving, from a client device and by a first multi-party computation (MPC) computer of a group of MPC computers that collaborate to perform MPC computations, a composite request for digital components to display in multiple digital component slots of an electronic resource, the composite request comprising first secret shares of data identifying user groups that include a user of the client device as a member;
• determining, in collaboration with one or more second MPC computers of the group of MPC computers, a first secret share of a value of each of a plurality of candidate parameters of a candidate expression for each digital component in a set of digital components;
• for each digital component slot, generating a selection result comprising a first secret share of digital component data identifying a selected digital component that is selected for display in the digital component slot, the generating comprising,
• for each digital component in the set of digital components,
• determining, in collaboration with the one or more second MPC computers, a first secret share of a candidate result for each digital component based on the candidate expression for the digital component and the value of each of the plurality of candidate parameters, and
• generating, based on the first secret share of the candidate result for each digital component and a corresponding second secret share of the candidate result held by each of the one or more second MPC computers, the selection result, and
• for at least a portion of the digital component slots, updating, for at least a portion of the digital components, the value of one or more of the candidate parameters for the digital component based on the selected digital component;
• and
• sending, to the client device, composite result data comprising the selection result generated for each digital component slot.

A non-transitory computer readable storage medium carrying instructions that, when executed by one or more processors, cause the one or more processors to perform operations comprising:

• receiving, from a client device and by a first multi-party computation (MPC) computer of a group of MPC computers that collaborate to perform MPC computations, a composite request for digital components to display in multiple digital component slots of an electronic resource, the composite request comprising first secret shares of data identifying user groups that include a user of the client device as a member;
• determining, in collaboration with one or more second MPC computers of the group of MPC computers, a first secret share of a value of each of a plurality of candidate parameters of a candidate expression for each digital component in a set of digital components;
• for each digital component slot, generating a selection result comprising a first secret share of digital component data identifying a selected digital component that is selected for display in the digital component slot, the generating comprising,
• for each digital component in the set of digital components,
• determining, in collaboration with the one or more second MPC computers, a first secret share of a candidate result for each digital component based on the candidate expression for the digital component and the value of each of the plurality of candidate parameters, and
• generating, based on the first secret share of the candidate result for each digital component and a corresponding second secret share of the candidate result held by each of the one or more second MPC computers, the selection result, and
• for at least a portion of the digital component slots, updating, for at least a portion of the digital components, the value of one or more of the candidate parameters for the digital component based on the selected digital component;
• and
• sending, to the client device, composite result data comprising the selection result generated for each digital component slot.