Utilization management of Persian Gulf oil and gas reserves is important, because of the importance of this area owing to the fact that it comprised 60% of the proven oil reserves and 40% of the proven gas reserves of the world and it determines the world's oil and gas strategies. By using game theory, this paper seeks to achieve the best strategy that Iran could use in confronting other partne...

this paper analyzes the reaction of the 9th government with workers and capitalists using game theory. the type of game between three players is static with perfect information. strategy of the players is determined through the use of hierarchical processes and network analysis method. the equilibrium between these three players is the nash type of equilibrium. in the hierarchical and network a...

We prove that every multi-player perfect-information game with bounded and lower-semi-continuous payoffs admits a subgame-perfect ε-equilibrium in pure strategies. This result complements Example 3 in Solan and Vieille (2003), which shows that a subgame-perfect ε-equilibrium in pure strategies need not exist when the payoffs are not lower-semi-continuous. In addition, if the range of payoffs is...

I study dynamic games where players may be unaware of some fundamentals of the game itself, such as actions or players, and such unawareness may be lifted by other players’ actions during the play. Based on Li (2006a, 2006b), I propose a framework to deal with such games using standard tools of game theory. I construct examples to show that unawareness is distinctly different from assigning zer...

We consider a two-person zero-sum stochastic game with an innnite time horizon. The payoo is a linear combination of expected total discounted rewards with diierent discount factors. For a model with a countable state space and compact action sets, we characterize the set of persistently optimal (sub-game perfect) policies. For a model with nite state and action sets and with perfect informatio...

Standard structures of information, in particular partition structures, are inadequate for the modeling of strategic thinking. They fail to capture the inner structure of hypotheses players make about situations they know will not occur. An extension of the partition structure is proposed in which such hypotheses can be modeled in detail. Hypothetical knowledge operators are defined for extende...