multiparty
adjective /ˌmʌltiˈpɑːti/
  /ˌmʌltiˈpɑːrti/
[only before noun]- involving several different political parties- These are the country’s first multiparty elections.
 Oxford Collocations DictionaryMultiparty is used with these nouns:- democracy
- election
- mediation
- …