矩阵对策上的判断理论

经典矩阵对策无判断成分 ,故不得不假定局中人都悲观 (或保守 ) ,然而现实的矩阵对策大都具有判断成分。例如军事对策中有“知彼知己 ,百战不殆”之说。本文研究了矩阵对策中有关判断结构的凸性及拓扑性质 ,最优策略集 ,以及对策解与判断的关系

Judgement theory on matrix game

Classical matrix game has no judgment, usually. Thus, we can not but assume the players to be pessimistic (conservative). But, in fact, many practical matrix games have judgements. For example, there is a well known proverb in war game,"Know the enemy and know yourself, and you can fight a hundred battles with no danger of defeat". This paper reports the research on the convexity and topological properties for some judgement structures of matrix game. It describes the optimal and relatively optimal strategy sets. The relations between judgements and game solutions are detailed.crostructure changes were analyzed in the preparation and inter mediate heat treatments of coating. It was found that, due to the deposition of TBC onto the as cast K3 substrate and inter mediate heat treatment (vacuum pre heating and heating treatments), the cast microstructure of the substrate was improved. Heat treatment can result in a precipitation hardening. The tensile strength of K3 substrate was improved from 800 MPa to 1 050 MPa after TBCs deposition, whereas the deposition of TBC has almost no effect on the mechanical behavior of the specimen that dealed with pre heat treatment. Key words: electron beam physical vapor deposition (EB-PVD); thermal barrier coatings (TBCs); as casted superalloy