We propose two sequential mechanisms for efficient production of public goods. Our analysis differs from the existing literature in allowing for the presence of multiple public goods and in also being “simple.” While both mechanisms ensure efficiency, the payoffs in the first mechanism are...

Assuming a ‘spectrum’ or ordering of the players of a coalitional game, as in a political spectrum in a parliamentary situation, we consider a variation of the Shapley value in which coalitions may only be formed if they are connected with respect to the spectrum. This results in a naturally...

This chapter surveys some of the literature in game theory that has emerged from Shapley's seminal paper on the Value. The survey includes both contributions which offer different interpretations of the Shapley value as well as several different ways to characterize the value axiomatically. The...

The asymptotic value, introduced by Kannai in 1966, is an asymptotic approach to the notion of the Shapley value for games with infinitely many players. A vector measure game is a game v where the worth v(S) of a coalition S is a function f of ?(S) where ? is a vector measure. Special classes of...