Abstract
The Nash equilibrium of fuzzy two-person zero-sum game is investigated by the Choquet integral. gλ-measure is introduced to describe the importance of any goals subset. A kind of aggregated game matrix of the fuzzy two-person zero-sum game with multi-goals was constructed based on the Choquet integral with respect to the gλ-measure. It certifies the conclusion that the Nash equilibrium of the aggregated game matrix was also that of each fuzzy two-person zero-sum game with a single goal.
| Original language | English |
|---|---|
| Pages (from-to) | 1125-1128 |
| Number of pages | 4 |
| Journal | Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology |
| Volume | 28 |
| Issue number | 12 |
| Publication status | Published - Dec 2008 |
Keywords
- Choquet integral
- Fuzzy two-person zero-sum game
- Nash equilibrium
- g-measure