Final answer:
The claim is false; a counteroffer effectively terminates the original offer and cannot be accepted afterwards. Fairness is strategic in repeated interactions to prevent a pattern of unfair offers.
Step-by-step explanation:
The statement that a counteroffer has no effect on the initial offer, and a party can always go back and accept the original offer is false. In legal terms, a counteroffer is considered a rejection of the original offer, and it cannot be accepted once a counteroffer has been made. When a counteroffer is presented, the original offer is terminated and replaced by the new terms proposed in the counteroffer. Strategic gameplay and interactions, such as in negotiations or games where offers are made, show the importance of fair deals. Over time, unfair offers can be predicted, leading to consistency in lowball offers. Therefore, it is strategic for players to either make fair offers or reject unfair ones, to avoid a pattern of unfairness in future plays.