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Proposer's Expected Payoff from an Offer
In the ultimatum game, the expected payoff of an offer is a measure of the average outcome a Proposer could anticipate if the same offer were made multiple times under similar conditions. It is calculated by multiplying the Proposer's potential gain from an accepted offer by the probability of that offer being accepted. The formula is: Expected Payoff = (Payoff if offer is accepted) × (Probability of acceptance).
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Introduction to Microeconomics Course
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CORE Econ
Ch.4 Strategic interactions and social dilemmas - The Economy 2.0 Microeconomics @ CORE Econ
The Economy 2.0 Microeconomics @ CORE Econ
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General Calculation of Expected Payoff
A company is deciding whether to launch a new product. The marketing department provides the following analysis:
- If the launch is successful, the company will earn a profit of $5 million.
- If the launch fails, the company will incur a loss of $2 million.
- Based on market research, there is a 40% probability of success and a 60% probability of failure.
Assuming the company makes decisions based on maximizing the weighted average of all possible outcomes, what is the most rational course of action?
Investment Decision Analysis
Farmer's Planting Decision
A company is deciding between two mutually exclusive projects, Project X and Project Y. An initial analysis reveals that Project X has a significantly higher probability of success than Project Y. Based solely on this information, a rational, risk-neutral decision-maker should choose Project X to maximize their expected payoff.
A venture capitalist is evaluating four different startup investment opportunities. Match each opportunity, described by its potential outcomes and their probabilities, with its correct expected payoff.
A software company is considering adding a new feature. Market analysis suggests a 30% chance the feature will be a major success, generating $100,000 in profit; a 50% chance it will be moderately successful, generating $20,000 in profit; and a 20% chance it will fail, resulting in a loss of $40,000. The expected payoff of developing this feature is $____. (Enter a whole number without commas or dollar signs).
Critique of a Decision-Making Process
A manager needs to make a rational decision between two different investment strategies, where the final profit for each strategy is uncertain. Arrange the following steps into the correct logical sequence they should follow to determine the best strategy by comparing the weighted average of all possible results.
A firm is deciding between two mutually exclusive projects. Project A has a 70% chance of earning $10 million and a 30% chance of losing $5 million. Project B has a 40% chance of earning $20 million and a 60% chance of losing $6 million. The firm initially determines that Project A is the better choice by comparing the weighted average of all possible outcomes. Which of the following independent changes to the scenario would reverse this decision, making Project B the more rational choice?
Critique of a Business Expansion Analysis
Learn After
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?