Use of a binder agent composition for lithium batteries, wherein the binder agent composition comprises: a copolymer containing a monomer unit derived from acrylic acid and one or two kinds of monomer units derived from a compound represented by the following general formula or general formula as constituent components; a bivalent to decavalent alcohol; and water; in the formula, R 1 represents a hydrogen atom or a methyl group, in a case where R 2 is a hydrogen atom, R 1 represents a methyl group, R 2 represents a hydrogen atom; an alkyl group having 1 to 20 carbon atoms; an alkyl group having 1 to 20 carbon atoms substituted with a fluorine atom or a hydroxy group; an aryl group having 6 to 10 carbon atoms; an arylalkyl group having 7 to 13 carbon atoms; an alkoxyalkyl group having 2 to 9 carbon atoms; an alkoxyalkoxyalkyl group having 3 to 9 carbon atoms; an aryloxyalkyl group having 7 to 13 carbon atoms; a morpholinoalkyl group having 5 to 7 carbon atoms; a trialkylsilyl group having 3 to 9 carbon atoms; an alicyclic hydrocarbon group having 6 to 12 carbon atoms that has or does not have an oxygen atom; a dialkylaminoalkyl group having 3 to 9 carbon atoms; a hexahydrophthalimide-N-alkyl group having 9 to 14 carbon atoms; a group represented by the following general formula in the formula, R 3 represents an alkylene group having 1 to 6 carbon atoms that has a hydroxy group as a substituent or is unsubstituted, R 4 represents a hydrogen atom, an alkyl group having 1 to 6 carbon atoms, or a phenyl group, and v represents an integer of 2 to 20; or a group represented by the following general formula in the formula, R 5 to R 7 each independently represent an alkyl group having 1 to 3 carbon atoms, and R 8 represents an alkylene group having 1 to 3 carbon atoms, in the formula, R 11 represents a hydrogen atom or a methyl group, R 12 represents a hydrogen atom or an alkyl group having 1 to 6 carbon atoms, R 13 represents a hydrogen atom, an alkyl group having 1 to 6 carbon atoms, a dialkylaminoalkyl group having 3 to 9 carbon atoms, or a hydroxyalkyl group having 1 to 6 carbon atoms. a copolymer containing a monomer unit derived from acrylic acid and one or two kinds of monomer units derived from a compound represented by the following general formula or general formula as constituent components; a bivalent to decavalent alcohol; and water; in the formula, R 1 represents a hydrogen atom or a methyl group, in a case where R 2 is a hydrogen atom, R 1 represents a methyl group, R 2 represents a hydrogen atom; an alkyl group having 1 to 20 carbon atoms; an alkyl group having 1 to 20 carbon atoms substituted with a fluorine atom or a hydroxy group; an aryl group having 6 to 10 carbon atoms; an arylalkyl group having 7 to 13 carbon atoms; an alkoxyalkyl group having 2 to 9 carbon atoms; an alkoxyalkoxyalkyl group having 3 to 9 carbon atoms; an aryloxyalkyl group having 7 to 13 carbon atoms; a morpholinoalkyl group having 5 to 7 carbon atoms; a trialkylsilyl group having 3 to 9 carbon atoms; an alicyclic hydrocarbon group having 6 to 12 carbon atoms that has or does not have an oxygen atom; a dialkylaminoalkyl group having 3 to 9 carbon atoms; a hexahydrophthalimide-N-alkyl group having 9 to 14 carbon atoms; a group represented by the following general formula in the formula, R 3 represents an alkylene group having 1 to 6 carbon atoms that has a hydroxy group as a substituent or is unsubstituted, R 4 represents a hydrogen atom, an alkyl group having 1 to 6 carbon atoms, or a phenyl group, and v represents an integer of 2 to 20; or a group represented by the following general formula in the formula, R 5 to R 7 each independently represent an alkyl group having 1 to 3 carbon atoms, and R 8 represents an alkylene group having 1 to 3 carbon atoms, in the formula, R 11 represents a hydrogen atom or a methyl group, R 12 represents a hydrogen atom or an alkyl group having 1 to 6 carbon atoms, R 13 represents a hydrogen atom, an alkyl group having 1 to 6 carbon atoms, a dialkylaminoalkyl group having 3 to 9 carbon atoms, or a hydroxyalkyl group having 1 to 6 carbon atoms.