@article{695915,
      author = {Meinhardt, Holger Ingmar,},
      url = {http://library.usi.edu/record/695915},
      title = {The pre-kernel as a tractable solution for cooperative  games an exercise in algorithmic game theory / [electronic  resource] :},
      abstract = {This present book provides an alternative approach to  study the pre-kernel solution of transferable utility games  based on a generalized conjugation theory from convex  analysis. Although the pre-kernel solution possesses an  appealing axiomatic foundation that lets one consider this  solution concept as a standard of fairness, the pre-kernel  and its related solutions are regarded as obscure and too  technically complex to be treated as a real alternative to  the Shapley value. Comprehensible and efficient  computability is widely regarded as a desirable feature to  qualify a solution concept apart from its axiomatic  foundation as a standard of fairness. We review and then  improve an approach to compute the pre-kernel of a  cooperative game by the indirect function. The indirect  function is known as the Fenchel-Moreau conjugation of the  characteristic function. Extending the approach with the  indirect function, we are able to characterize the  pre-kernel of the grand coalition simply by the solution  sets of a family of quadratic objective functions.},
      doi = {https://doi.org/10.1007/978-3-642-39549-9},
      recid = {695915},
      pages = {1 online resource (xxxiii, 242 pages) :},
}