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We begin by examining the problem of search.

BBC Bridge Companion - Wikipedia

We formalise a best defence model of incomplete information games in which equilibrium point strategies can be identified, and identify two specific problems that can affect algorithms in such domains. In Bridge, we show that the best defence model corresponds to the typical model analysed in expert texts, and examine search algorithms which overcome the problems we have identified.

Next, we look at how planning algorithms can be made to cope with the difficulties of such domains. This calls for the development of new techniques for representing uncertainty and actions with disjunctive effects, for coping with an opposition, and for reasoning about compound actions. We tackle these problems with an architecture that identifies and resolves conflicts on the basis of probabilistic reasoning about resources.

The prime contribution of this architecture is that it can construct plans which succeed under a large number of possible world states without having to consider each world state separately. By casting our algorithm within the classical plan-space planning paradigm we show how our techniques differ from, yet may be incorporated into, existing planning architectures. The original motivation for this work came from the field of mathematical reasoning.


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