Taking Awareness, Language, and Novelty into Account in Decision-Making and Game Theory

该项目的目标是为更强大的决策理论和博弈论提供新的基础，其中包括不假设状态和结果空间是已知的，也不假设博弈是常识。拟议的框架将允许纳入未预料到的观察，处理不同的代理可以意识到世界和游戏的不同特征的事实，甚至到他们可能不知道他们可以做出的所有可能的动作或代理正在玩游戏的程度，允许代理可能使用不同的语言来描述决策问题或游戏的可能性，并考虑到学习的一部分涉及修改语言（即，学习新概念）。该项目将使用的技术，涉及查看行为作为语法程序和代表（缺乏）意识的代理在一个正式的逻辑。拟议工作的更广泛影响包括使决策理论和博弈论更加强大，从而更适用于复杂的环境，从机器人探索火星（必然会有意想不到的事件）到大型点对点网络中的拍卖（其中所有参与者的身份肯定不是众所周知的）。

The goal of this project is to provide new foundations for a more robust decision theory and game theory that, among other things, does not assume that the state and outcome space are known, nor that the game is common knowledge. The proposed framework would allow for the incorporation of unanticipated observations, deal with the fact that different agents can be aware of different features of the world and the game, even to the extent that they might not be aware of all the possible moves that they can make or of which agents are playing the game, allow for the possibility that agents might use different languages to describe a decision problem or game, and allow for the fact that part of learning involves modifying the language (i.e., learning new concepts). The project will use techniques that involve viewing acts as syntactic programs and representing the (lack of) awareness of agents in a formal logic. The broader impact of the proposed work includes making decision theory and game theory more robust, and thus far more applicable in complex environments ranging from exploration of Mars by robots (where there are bound to be unanticipated events) to auctions in large peer-to-peer networks (where the identity of all the players is certainly not commonly known).