A pressure-sensitive adhesive polymer electrolyte with a peel adhesion in accordance with test A, described in the description, of more than 1 N/cm and an ionic conductivity in accordance with test B, described in the description, of more than 10 -6 (ohm*cm) -1 , produced by polymerizing a mixture which comprises at least the following components: • 5 - 60% by weight, preferably 10 - 50% by weight, in particular 15 - 30% by weight, of acrylate monomer from the group formed by (meth)acrylic acid esters containing 4 - 15 carbon atoms, wherein the number of carbon atoms is in each case with respect to the whole molecule, i.e. the acid component and alcohol component together, and the acrylate monomer would, as a homopolymer, have a T g in accordance with test C, described in the description, of less than -30°C, • 10 - 80% by weight, preferably 35 - 75% by weight, in particular 50 - 70% by weight, of acrylate monomer from the group formed by (meth)acrylic acid esters containing 4 - 25 carbon atoms and containing at least one heteroatom, wherein the number of carbon atoms is in each case with respect to the whole molecule, i.e. the acid component and alcohol component together, the heteroatom in addition to the two O atoms being present in the ester functional group and the acrylate monomer would, as a homopolymer, have a T g in accordance with test C, described in the description, of less than 100°C, • 0.05 - 10% by weight, preferably 0.1 - 2% by weight, of initiator, • 2 - 13% by weight, preferably 3 - 10% by weight, in particular 4 - 8% by weight, of conducting salt, • optionally, plasticizer, preferably in a proportion of 5 to 50% by weight, • and optionally, solvent which, following polymerization, is typically at least partially removed, such as, for example, substantially completely removed, wherein optionally, at least a proportion, such as the entirety, for example, of one or more of the components are added only during or after the polymerization. • 5 - 60% by weight, preferably 10 - 50% by weight, in particular 15 - 30% by weight, of acrylate monomer from the group formed by (meth)acrylic acid esters containing 4 - 15 carbon atoms, wherein the number of carbon atoms is in each case with respect to the whole molecule, i.e. the acid component and alcohol component together, and the acrylate monomer would, as a homopolymer, have a T g in accordance with test C, described in the description, of less than -30°C, • 10 - 80% by weight, preferably 35 - 75% by weight, in particular 50 - 70% by weight, of acrylate monomer from the group formed by (meth)acrylic acid esters containing 4 - 25 carbon atoms and containing at least one heteroatom, wherein the number of carbon atoms is in each case with respect to the whole molecule, i.e. the acid component and alcohol component together, the heteroatom in addition to the two O atoms being present in the ester functional group and the acrylate monomer would, as a homopolymer, have a T g in accordance with test C, described in the description, of less than 100°C, • 0.05 - 10% by weight, preferably 0.1 - 2% by weight, of initiator, • 2 - 13% by weight, preferably 3 - 10% by weight, in particular 4 - 8% by weight, of conducting salt, • optionally, plasticizer, preferably in a proportion of 5 to 50% by weight, • and optionally, solvent which, following polymerization, is typically at least partially removed, such as, for example, substantially completely removed, <EOS>