of the marginal contributions for environments with externalities. The dummy property related to it is defined. We adapt … average approach provided by Macho-Stadler et al. (J Econ Theory 135:339-356, 2007). -- externalities ; marginal contributions …

and consumption. We study the game of balancing group formation and show that the game contains widespread externalities … transmission network. -- Energy transmission networks ; Cooperative game theory ; Partition function form games ; Externalities …

satiable agents, i.e., the benefit function is decreasing beyond some satiation point. In such situations externalities appear … has an increasing benefit function (no externalities) then every weighted hierarchical solution is core-stable. In case of … satiation points, it appears that every weighted hierarchical solution is independent of the externalities. …

In auctions with externalities, it is well-known that the core can be empty, which is undesirable both in terms of …

externalities games. For a symmetric cooperation externalities game conditions are provided such that every outcome in the …

In the absence of externalities, marginality is equivalent to an independence property that rests on Harsanyi … and independence for games with externalities. We measure a player‘s contribution in an embedded coalition by the change …. The introduced method also allows us to investigate egalitarian solutions and to reveal how accounting for externalities …

the externalities involved, as well as with where the source of cooperation lies in cooperative game theory. In either …

externalities. In particular, when externalities occur, a direct translation of Shapley's axioms does not imply a unique value. In … contributions), translated to games with externalities using the proper definition of the alpha-parametrized marginal contribution …