A Graphical Method for Solving Interval Matrix Games
2×𝑛 or 𝑚×2 interval matrix games are considered, and a graphical method for solving such games is given. Interval matrix game is the interval generation of classical matrix games. Because of uncertainty in real-world applications, payoffs of a matrix game may not be a fixed number. Since the pay...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/260490 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 2×𝑛 or 𝑚×2 interval matrix games are considered, and a graphical
method for solving such games is given. Interval matrix game is
the interval generation of classical matrix games. Because of
uncertainty in real-world applications, payoffs of a matrix
game may not be a fixed number. Since the payoffs may vary within
a range for fixed strategies, an interval-valued matrix can
be used to model such uncertainties. In the literature, there are
different approaches for the comparison of fuzzy numbers and
interval numbers. In this work, the idea of acceptability index is
used which is suggested by Sengupta et al. (2001) and Sengupta and
Pal (2009), and in view of acceptability index, well-known
graphical method for matrix games is adapted to interval matrix
games. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |