Bayesian models for sequential bidding and related theoretical topics

The problems faced by a company in determining its bids on a sequence of contracts put out to tender has been studied extensively in past literature. This thesis concentrates on formalising and developing these existing models as well as presenting new models for both the competing bidders and the tendering organisation. Development of these models involves reviewing and extending theoretical results in the areas of time series analysis, multi-armed bandits, and finitely additive probability distributions.