I read the JSON Web Signature specification that can be found here. The spec defines two serialization representations for JSON Web Signatures. One is the JWS Compact Serializat
According to Florent Morselli's comment, there are at least 2 use cases:
You sign a token with several signature algorithms (let say RS256, ES384 and PS512). depending on the audience capabilities (only supports ES384 algorithm), it will be able to verify the token.
Several parties agree for a common payload. Each party sign the payload with its key and signatures are merged into a single token.