ABSTRACT
Memory-one strategies are a set of Iterated Prisoner's Dilemma strategies that have been praised for their mathematical tractability and performance against single opponents. This manuscript investigates best response memory-one strategies with a theory of mind for their opponents. The results add to the literature that has shown that extortionate play is not always optimal by showing that optimal play is often not extortionate. They also provide evidence that memory-one strategies suffer from their limited memory in multi agent interactions and can be out performed by optimised strategies with longer memory. We have developed a theory that has allowed to explore the entire space of memory-one strategies. The framework presented is suitable to study memory-one strategies in the Prisoner's Dilemma, but also in evolutionary processes such as the Moran process. Furthermore, results on the stability of defection in populations of memory-one strategies are also obtained.
Subject(s)
Memory , Theory of Mind , Biological Evolution , Humans , Models, Theoretical , Prisoner DilemmaABSTRACT
Various approaches have been used to identify possible routes for improvement of patient flow within an emergency unit (EU). One such approach is to use simulation to create a 'real world' model of an EU and carry out various tests to gauge ways of improvement. This paper proposes a novel approach in which simulation is used to create a 'perfect world model'. The EU at a major UK hospital is modelled not as it is, but as it could be. The 'efficiency gap' between the 'perfect world' and the 'real world' demonstrates how operational research can be used effectively to identify the location of bottlenecks in the current 'whole hospital' patient pathway and can be used in the planning and managing of hospital resources to ensure the most effective use of those resources.