Symmetry of simple games and permission of voters

In this paper, we deal with symmetry of voting situations with voters' perm ission. The situations are expressed by committees with permission, and are investigated focusing on the simple games induced by the committees, that is, permission games and restricted permission games. Particularly, we exam ine relations between classical concept of symmetry of simple games acid vo ters' permission, and provide propositions that allow us to regard classica l symmetric simple games as situations with the assumption that the voters in each winning coalition can agree on at least one alternative. (C) 2000 E lsevier Science Inc. All rights reserved.