Rank-1 Bi-matrix Games: A Homeomorphism and a Polynomial Time Algorithm. Given a rank-1 bimatrix game (A,B), i.e., where rank(A+B)=1, we construct a suitable linear subspace of the rank-1 game space and show that this subspace is homeomorphic to its Nash equilibrium correspondence.
Oct 15, 2010
Using this homeomorphism, we give the first polynomial time algorithm for computing an exact Nash equilibrium of a rank-1 bimatrix game. This settles an open ...
(PDF) Rank-1 Bi-matrix Games: A Homeomorphism and a Polynomial ...
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Using this homeomorphism, we give the first polynomial time algorithm for computing an exact Nash equilibrium of a rank-1 bimatrix game. In addition, we give a ...
Using this homeo- morphism, we give the first polynomial time algorithm for computing an exact Nash equilibrium of a rank-1 bimatrix game. This settles an open ...
This work gives the first polynomial time algorithm for computing an exact Nash equilibrium of a rank-1 bimatrix game and provides new proofs of important ...
Using this homeomorphism, we give the first polynomial time algorithm for computing an exact Nash equilibrium of a rank-1 bimatrix game. This settles an open ...
Oct 22, 2024 · Using this homeomorphism, we give the first polynomial time algorithm for computing an exact Nash equilibrium of a rank-1 bimatrix game. This ...
This paper comprehensively analyzes games of rank one and shows the fol- lowing: (1) For a game of rank r, the set of its Nash equilibria is the intersection of ...
Rank-1 Bimatrix Games: A Homeomorphism and a Polynomial Time Algorithm arXiv ... The first algorithm finds a Nash equilibrium of a rank-1 game in polynomial time.
Nov 6, 2018 · Bibliographic details on Rank-1 bimatrix games: a homeomorphism and a polynomial time algorithm.