A private-value auction gives each bidder its own value for receiving an item; the value is determined by its own type rather than by another bidder's information. An independent private values model also assumes independence between types.
A bidder with unit demand values receiving one item but obtains no additional value from extra identical units. Selecting two winners means awarding one item to each of two bidders, not two units to one bidder.
This model assigns independent private valuation types to the bidders. Symmetry adds identical type distributions and bidder roles. These assumptions determine interim winning probabilities from the valuation distribution in a monotone symmetric equilibrium.
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