标题:An Algebraic Geometry Approach to Compute Strategically Equivalent Bimatrix Games * * This work is partially supported by the U.S. Army Research Laboratory and the U.S. Office of Naval Research under MURI grant No. N00014-16-1-2710
摘要:AbstractIn this paper, a class of bimatrix games having the same Nash equilibria of a given game, either in pure or in mixed policies, is characterized. Such a goal is reached by computing the set of all the polynomials that are monotone strictly increasing in a given interval and by borrowing techniques from algebraic geometry to find solutions to a set of polynomial equalities.