Figure 4.19: Proposers' Expected Payoffs by Offer (for Farmers)
This figure displays the expected payoffs for Proposers, which were calculated for various offer amounts. The calculations rely on the acceptance probabilities of farmer Responders, which can be determined from the rejection data presented in Figure 4.18b. Specifically, for each offer, the expected payoff is the Proposer's potential gain multiplied by the probability of acceptance (1 minus the probability of rejection from Figure 4.18b).
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Figure 4.19: Proposers' Expected Payoffs by Offer (for Farmers)
In a negotiation over a total of $100, a Proposer is considering offering $40 to a Responder. The Proposer believes there is a 75% chance the Responder will accept this offer. If the offer is rejected, both individuals receive nothing. Based on this information, what is the Proposer's expected payoff for this specific offer?
Optimizing a Negotiation Offer
True or False: In an ultimatum game, as long as there is some non-zero chance of an offer being accepted, an offer that allows the Proposer to keep a larger share of the total amount will always result in a higher expected payoff for the Proposer compared to an offer that allows them to keep a smaller share.
A Proposer is deciding how much to offer a Responder from a total amount of $20. If an offer is rejected, both parties receive $0. For each potential scenario below, which describes the amount offered to the Responder and the Proposer's estimated probability of that offer being accepted, match it to the correct expected payoff for the Proposer.
Explaining the Proposer's Trade-Off
Critiquing a Negotiation Strategy
In a one-time negotiation over a total of $50, a Proposer decides to offer $15 to the Responder. The Proposer estimates there is an 80% probability that this offer will be accepted. If the offer is rejected, both parties receive $0. The Proposer's expected payoff for making this offer is $____.
You are a Proposer in a one-time negotiation where an offer, if rejected, results in a payoff of zero for both parties. You want to calculate your expected payoff for a potential offer you are considering making. Arrange the following actions in the correct logical sequence to perform this calculation.
Deducing a Negotiation Offer
A Proposer is participating in a one-time negotiation over a total of $100. If their offer is rejected, both parties receive $0. The Proposer is weighing two options:
- Option A: Offer the Responder $10. The Proposer estimates a 50% probability of acceptance.
- Option B: Offer the Responder $40. The Proposer estimates a 90% probability of acceptance.
Which statement correctly analyzes the situation to determine the offer that maximizes the Proposer's expected payoff?
Figure 4.19: Proposers' Expected Payoffs by Offer (for Farmers)