Depending on the implementation details of the agent design, it may do some combination of:
Turning down your offer, path-dependently preferring whichever option is already in hand / whichever option is consistent with its history of past trades.
Noticing unresolved conflicts within its preference framework, possibly unresolveable without self-modifying into an agent that has different preferences from itself.
Halting and catching fire, folding under the weight of an impossible choice.
EDIT: The post also suggests an alternative (better) policy that agents with incomplete preferences may follow.
Depending on the implementation details of the agent design, it may do some combination of:
Turning down your offer, path-dependently preferring whichever option is already in hand / whichever option is consistent with its history of past trades.
Noticing unresolved conflicts within its preference framework, possibly unresolveable without self-modifying into an agent that has different preferences from itself.
Halting and catching fire, folding under the weight of an impossible choice.
EDIT: The post also suggests an alternative (better) policy that agents with incomplete preferences may follow.