It is assumed that players bundle nodes in which other players must move into analogy classes, and players only have expectations about the average behavior in every class. A solution concept is proposed for multi-stage games with perfect information: at every node players choose best-responses...

A power measure is monotone if a player with a larger weight is assigned at least as much power as a player with a smaller weight in the same weighted majority game. Failure of a power index to satisfy monotonicity is often considered a pathological feature. In this paper, we show that...

This paper studies an allocation procedure for coalitional games with veto players. The procedure is similar to the one presented by Arin and Feltkamp (2007), which is based on Dagan et al. (1997). A distinguished player makes a proposal that the remaining players must accept or reject, and...

This paper studies non-cooperative bargaining with random proposers in apex games. Two different protocols are considered: the egalitarian propocol, which selects each player to be the proposer with the same probability, and the proportional protocol, which selects each player with a probability...

We analyze and evaluate the different decision rules describing the Council of Ministers of the EU starting from 1958 up to date. Most of the existing studies use the Banzhaf index (for binary voting) or the Shapley-Shubik index (for distributive politics). We argue in favor of the nucleolus as...

We investigate a version of the classic Colonel Blotto game in which individual battles may have different values. Two players allocate a fixed budget across battlefields and each battlefield is won by the player who allocates the most to that battlefield. The winner of the game is the player...