Automata-based Adaptive Behavior for Economical Modelling Using Game Theory

Resource-Aware Automata and Games for Optimal Synthesis

We consider quantitative notions of parity automaton and parity game aimed at modelling resource-aware behaviour, and study (memory-full) strategies for exhibiting accepting runs that require a minimum amount of initial resources, respectively for winning a game with minimum initial resources. We also show how such strategies can be simplified to consist of only two types of moves: the former aimed at increasing resources, the latter aimed at satisfying the acceptance condition.

Infinite-State Energy Games

Energy games are a well-studied class of 2-player turn-based games on a finite graph where transitions are labeled with integer vectors which represent changes in a multidimensional resource (the energy). One player tries to keep the cumulative changes non-negative in every component while the other tries to frustrate this. We consider generalized energy games played on infinite game graphs induced by pushdown automata (modelling recursion) or their subclass of one-counter automata. Our main result is that energy games are decidable in the case where the game graph is induced by a one-counter …

Observation and Distinction. Representing Information in Infinite Games

We compare two approaches for modelling imperfect information in infinite games by using finite-state automata. The first, more standard approach views information as the result of an observation process driven by a sequential Mealy machine. In contrast, the second approach features indistinguishability relations described by synchronous two-tape automata. The indistinguishability-relation model turns out to be strictly more expressive than the one based on observations. We present a characterisation of the indistinguishability relations that admit a representation as a finite-state observatio…

通用动态认知层次模型用于战略驾驶行为

Generalized dynamic cognitive hierarchy models for strategic driving behavior

本文提出通用动态认知层次模型，用于建模自然驾驶行为和自动驾驶车辆的行为规划，通过自动机策略和稳健响应解决有限理性和共同知识假设问题。