The dual Lovász-Shapley value and the Shapley² value for non-negatively weighted TU games
- We suggest two economically plausible alternatives to the Lovász-Shapley value for non-negatively weighted TU games (Casajus and Wiese, 2017. Int. J. Game Theory 46 , 295-310), the dual Lovász-Shapley value and the Shapley² value. Whereas the former is based on the Lovász extension operator for TU games (Lovász, 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 Lovász extension operator and the Shapley extension operator (Casajus and Kramm, 2021. Discrete Appl. Math. 294, 224.232), respectively.
| Document Type: | Working Paper |
|---|---|
| Language: | English |
| Author: | André CasajusORCiD, Michael KrammORCiD |
| Chairs and Professorships: | Chair of Economics and Information Systems |
| Full text/ URN: | urn:nbn:de:0217-28490 |
| Parent Title (English): | HHL Working Paper |
| ISSN: | 1864-4562 |
| Series (Serial Number): | HHL-Arbeitspapier / HHL Working paper (196) |
| Issue: | January 2022 |
| Year of Completion: | 2022 |
| Page Number: | 17 pages |
| Tag: | CES production function; Dual Lovász extension; Lovász extension; Shapley extension; TU game |
| Content Focus: | Academic Audience |
| Licence (German): |  Urheberrechtlich geschützt |