کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
473085 | 698767 | 2009 | 16 صفحه PDF | دانلود رایگان |

We present an algorithm to compute a parametric description of the totally mixed Nash equilibria of a generic game in normal form with a fixed structure. Using this representation, we also show an algorithm to compute polynomial inequality conditions under which a game has the maximum possible number of this kind of equilibria. Then, we present symbolic procedures to describe the set of isolated totally mixed Nash equilibria of an arbitrary game and to compute, under certain general assumptions, the exact number of these equilibria. The complexity of all these algorithms is polynomial in the number of players, the number of each player’s strategies and the generic number of totally mixed Nash equilibria of a game with the considered structure.
Journal: Computers & Mathematics with Applications - Volume 58, Issue 6, September 2009, Pages 1126–1141