@article{CasajusKramm2021,
  author    = {Andr{\´e} Casajus and Michael Kramm},
  title     = {The dual Lov{\´a}sz extension operator and the Shapley extension operator for TU games},
  series   = {Discrete applied mathematics},
  number    = {294 (15 May 2021)},
  issn      = {0166-218X},
  doi       = {10.1016/j.dam.2021.02.011},
  pages     = {224 -- 232},
  year      = {2021},
  abstract  = {An extension operator assigns to any TU game its extension, a mapping that assigns a worth to any non-negative resource vector for the players. Algaba et al. (2004) advocate the Lov{\´a}sz extension (Lov{\´a}sz, 1983) as a natural extension operator. This operator is determined by the minimum operator representing one particular CES (constant elasticity of substitution) technology. We explore alternative extension operators, the dual Lov{\´a}sz extension and the Shapley extension, that are based on the only two alternative CES technologies that induce an economically sound behavior of extensions in some sense, the maximum operator and the average operator.},
  language  = {en}
}