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- YAN-AN HWANG & YU-HSIEN LIAO (2008): Potential In Multi-Choice Cooperative Tu Games
Several axiomatizations of the family of all solutions that admit a potential are offered and, as a main result, it is shown that each of these solutions can be obtained by applying the weighted associated consistent value proposed in this paper to an appropriately modified game. We also characterize the weighted associated consistent value by means of the weighted balanced contributions and the associated consistency.
RePEc:wsi:apjorx:v:25:y:2008:i:05:n:s0217595908001900 Save to MyIDEAS - Besner, Manfred (2018): Weighted Shapley hierarchy levels values
We use a multi-step proceeding, suggested first in Owen (1977), applied to the weighted Shapley values. Our first axiomatization is an generalisation of the axiomatization given in Gómez-Rúa and Vidal-Puga (2011), itselves an extension of a special case of an axiomatization given in Myerson (1980) and Hart and Mas-Colell (1989) respectively by efficiency and weighted balanced contributions. The second axiomatization is completely new and extends the axiomatization of the weighted Shapley values introduced in Hart and Mas-Colell (1989) by weighted standardness for two player games and consistency.
RePEc:pra:mprapa:88160 Save to MyIDEAS - E. Calvo & Juan Carlos Santos (2000): Weighted weak semivalues
We introduce two new value solutions: weak semivalues and weighted weak semivalues. They are subfamilies of probabilistic values, and they appear by adding the axioms of balanced contributions and weighted balanced contributions respectively.
RePEc:spr:jogath:v:29:y:2000:i:1:p:1-9 Save to MyIDEAS - Pérez-Castrillo, David & Sun, Chaoran (2022): The proportional ordinal Shapley solution for pure exchange economies
Moreover, we characterize the POSh through a Harsanyi's (1959) system of dividends and, when agents' preferences are homothetic, through a weighted balanced contributions property à la Myerson (1980).
RePEc:eee:gamebe:v:135:y:2022:i:c:p:96-109 Save to MyIDEAS