Preserving or removing special players: what keeps your payoff unchanged in TU-games?
AbstractIf a player is removed from a game, what keeps the payoff of the remaining players unchanged? Is it the removal of a special player or its presence among the remaining players? This article answers this question in a complement study to Kamijo and Kongo (2012). We introduce axioms of invariance from player deletion in presence of a special player. In particular, if the special player is a nullifying player (resp. dummifying player), then the equal division value (resp. equal surplus division value) is characterized by the associated axiom of invariance plus efficiency and balanced cycle contributions. There is no type of special player from such a combination of axioms that characterizes the Shapley value.
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Bibliographic InfoPaper provided by CRESE in its series Working Papers with number 2013-09.
Length: 16 pages
Date of creation: Nov 2013
Date of revision:
weighted division values; equal division; weighted surplus division values; equal surplus division; Shapley value; null player; nullifying player; dummifying player; invariance from player deletion in presence of a special player;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-12-15 (All new papers)
- NEP-GTH-2013-12-15 (Game Theory)
- NEP-HPE-2013-12-15 (History & Philosophy of Economics)
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