Allylic copolymer resins and processes for making them are disclosed. The resins are made by copolymerizing an ethylenic monomer, a monofunctional allyl monomer, and a multifunctional allyl monomer under free-radical conditions. The multifunctional allyl monomer is used in an amount and manner effective to give a copolymer resin having a polydispersity (Mw/Mn) within the range of about 5 to about 30. The resins, which are easy to make with even bulk polymerization, are particularly valuable, for example, as toner resins, thermoset resins, reactive plasticizers, and rheology modifiers.