@techreport{CasajusKramm, type = {Working Paper}, author = {Andr{\´e} Casajus and Michael Kramm}, title = {The dual Lov{\´a}sz-Shapley value and the Shapley value for non-negatively weighted TU games}, series = {HHL Working paper}, institution = {HHL Leipzig Graduate School of Management}, address = {Leipzig}, issn = {1864-4562}, doi = {10.60734/opus-2849}, url = {https://nbn-resolving.org/urn:nbn:de:0217-28490}, pages = {17}, abstract = {We suggest two economically plausible alternatives to the Lov{\´a}sz-Shapley value for non-negatively weighted TU games (Casajus and Wiese, 2017. Int. J. Game Theory 46 , 295-310), the dual Lov{\´a}sz-Shapley value and the Shapley² value. Whereas the former is based on the Lov{\´a}sz extension operator for TU games (Lov{\´a}sz, 1983. Mathematical Programming: The State of the Art, Springer, 235.256; Algaba et al., 2004. Theory Decis. 56, 229.238.), the latter two are based on the dual Lov{\´a}sz extension operator and the Shapley extension operator (Casajus and Kramm, 2021. Discrete Appl. Math. 294, 224.232), respectively.}, language = {en} }