Game Models In Two Kinds Of Uncertain Environments

Game models based on random variables, fuzzy variables and uncertain variables can effectively solve game problems in uncertain environments which contain random, fuzzy and uncertain variables respectively. However, it is difficult to deal with game problems in uncertain random environments or uncertain fuzzy environments. On the bases of uncertain random variables and uncertain fuzzy variables, the game problems in uncertain environments under uncertain-randomness and uncertain-fuzziness are discussed respectively. The game models based on uncertain random variables and uncertain fuzzy variables are constructed separately. The theorems to confirm the expected equilibrium’s existence of the game models based on uncertain random variables and uncertain fuzzy variables are proved according to the properties of corresponding expected value. The methods of getting expected equilibrium solutions of two person nonzero-sum game models based on uncertain random variables and uncertain fuzzy variables are also given. The numerical experiments show the availability of the above two kinds of game models.