Games with Permission Structures: The Conjunctive Approach

摘要

The paper is devoted to the game theoretic analysis of decision situations, in which the players have veto power over the actions undertaken by certain other players. The authors give a full characterization of the dividends in these games with a permission structure. They find that the collection of these games forms a subspace of the vector space of all games with side payments on a specified player set. Two applications of these results are provided. The first one deals with the projection of additive games on a permission structure. It is shown that the Shapley value of these projected games can be interpreted as an index that measures the power of the agents in the permission structure. The second application applies the derived results on games, where the organization structure can be analyzed separately from the production capacities of the participating players.