A cross-linkable composition, comprising: an acrylic pressure-sensitive adhesive resin having a carboxyl group; a crosslinking agent for the acrylic pressure-sensitive adhesive resin wherein the crosslinking agent is an epoxy-based crosslinking agent or an aziridine-based crosslinking agent; an ionic compound including a cation of the following Formula 7 or an anion of the following Formula 8: where R 1 represents an alkyl group having 1 to 3 carbon atoms, and R 2 to R 4 each independently represent an alkyl group having 4 to 20 carbon atoms [Formula 8] [X(YO m R f) n] - where X represents a nitrogen atom or a carbon atom, Y represents a carbon atom or a sulfur atom, R f represents a perfluoroalkyl group, m is 1 or 2 and n is 2 or 3.; and a polyalkylene polyol compound having a polyalkylene oxide unit, wherein the polyalkylene oxide unit includes two or more alkylene oxide units with a linear or branched alkylene group having 2 to 12 carbon atoms, wherein the binding energy between the acrylic pressure-sensitive adhesive resin and the polyalkylene polyol compound is lower than the binding energy between the crosslinking agent and the acrylic pressure-sensitive adhesive resin, a difference (B-A) between the binding energy between the crosslinking agent and the acrylic pressure-sensitive adhesive resin and the binding energy between the acrylic pressure-sensitive adhesive resin and the polyalkylene polyol compound is 8.4 kJ/mol (2 Kcal/mol) or more, and a mixing energy of the ionic compound with respect to the ethylene oxide units is - (-2 Kcal/mol) or more, 8.368 kJ/mol wherein the binding energy and the mixing energy are measured as defined in the description. an acrylic pressure-sensitive adhesive resin having a carboxyl group; a crosslinking agent for the acrylic pressure-sensitive adhesive resin wherein the crosslinking agent is an epoxy-based crosslinking agent or an aziridine-based crosslinking agent; an ionic compound including a cation of the following Formula 7 or an anion of the following Formula 8: where R 1 represents an alkyl group having 1 to 3 carbon atoms, and R 2 to R 4 each independently represent an alkyl group having 4 to 20 carbon atoms [Formula 8] [X(YO m R f) n] - where X represents a nitrogen atom or a carbon atom, Y represents a carbon atom or a sulfur atom, R f represents a perfluoroalkyl group, m is 1 or 2 and n is 2 or 3.; and a polyalkylene polyol compound having a polyalkylene oxide unit, wherein the polyalkylene oxide unit includes two or more alkylene oxide units with a linear or branched alkylene group having 2 to 12 carbon atoms, wherein the binding energy between the acrylic pressure-sensitive adhesive resin and the polyalkylene polyol compound is lower than the binding energy between the crosslinking agent and the acrylic pressure-sensitive adhesive resin, a difference (B-A) between the binding energy between the crosslinking agent and the acrylic pressure-sensitive adhesive resin and the binding energy between the acrylic pressure-sensitive adhesive resin and the polyalkylene polyol compound is 8.4 kJ/mol (2 Kcal/mol) or more, and a mixing energy of the ionic compound with respect to the ethylene oxide units is - (-2 Kcal/mol) or more, 8.368 kJ/mol wherein the binding energy and the mixing energy are measured as defined in the description.