Abstract：Based on a multiple criteria decision making(MCDM)model，this paper investigates how the set of cri． teria weights(or weight-set thereafter)is determined to compete for alternatives’maximmn advantages according to its own characteristic of alternatives based on the restriction of Nash equilibrium．Each alternative is called a deci． sion making unit(DMU)．We introduce the restriction of Nash equilibrium and present tl1e model of competitive as． sessment based on the restriction of Nash equilibrium in multi．criteria decision making(CANEM)．Each DMUs wi11 get its optimum weight—set according to CANEM and be ranked by the result calculated by optimum weight—set finally． At the sflllle time tl1e advantages’equilibrium of al1 DMUs ll be achieved．This paper presents a new metl10d to get objective weight—set based on advantages’equilibrium of all DMUs