The logic behind desirable sets of things, and its filter representation
This work addresses foundational issues in mathematical logic and decision theory, but it appears incremental as it builds on existing theories of coherent sets.
The paper tackles the problem of representing coherent sets of desirable things by identifying their underlying logic and filter representation, showing that this enables the establishment of various representation results for such models in terms of simpler ones.
We identify the (filter representation of the) logic behind the recent theory of coherent sets of desirable (sets of) things, which generalise coherent sets of desirable (sets of) gambles as well as coherent choice functions, and show that this identification allows us to establish various representation results for such coherent models in terms of simpler ones.