This paper studies noncooperative bargaining with random proposers in proper single games. A power index is called consistent if it can be obtained as an equilibrium of the game with random proposers using the index itself as probability vector. Unlike the Shapley-Shubik and Banzhaf indices, the nucleolus has this property. The proof uses the balancedness result in Kohlberg (1971) reinterpreting the balancing wieghts as mixed strategies.
|Place of Publication||Tilburg|
|Number of pages||21|
|Publication status||Published - 2001|
|Name||CentER Discussion Paper|
- noncooperative bargaining
- random proposers