Minimum Acceptable Offer with Reciprocal Preferences
When a Responder has reciprocal preferences and the social norm is a 50-50 split of the total amount, their minimum acceptable offer can be calculated with a specific formula. This formula defines the threshold offer as a function of the strength of their reciprocity motive, R. The formula is given by: Minimum Acceptable Offer = . This expression is derived from the Responder's decision rule where they reject any offer lower than their satisfaction from rejection.
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Ch.4 Strategic interactions and social dilemmas - The Economy 2.0 Microeconomics @ CORE Econ
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Responder's Indifference at a $35 Minimum Acceptable Offer
Minimum Acceptable Offer with Reciprocal Preferences
In a one-shot bargaining game, a Proposer has $100 and must offer a portion of it to a Responder. If the Responder accepts the offer, the money is split as proposed. If the Responder rejects the offer, both players receive $0. The Proposer offers the Responder $15, and the Responder chooses to reject it. What can be definitively concluded about the Responder's minimum acceptable offer from this single decision?
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Contextual Impact on Bargaining
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Strength of the Reciprocity Motive (R)
Responder's Decision Rule with Reciprocal Preferences
Minimum Acceptable Offer with Reciprocal Preferences
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In a model where a Responder's satisfaction from rejecting an offer is inversely proportional to how much the offer falls below a social norm, a Responder would derive a small, but positive, amount of satisfaction from rejecting an offer that is exactly equal to the social norm (e.g., a $50 offer in a $100 split).
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In a scenario where two individuals are tasked with splitting $100, the generally accepted social norm is a 50-50 split ($50 each). A behavioral economic model suggests that the satisfaction a Responder derives from rejecting an offer is inversely proportional to how much the offer is below the social norm. Match each offer made to the Responder with the corresponding level of satisfaction they would gain from rejecting it, based on this model.
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Learn After
Correlation Between Reciprocity Motive and Minimum Acceptable Offer
Calculating Minimum Acceptable Offers for Different Reciprocity Levels
An individual is deciding whether to accept a share of a $100 prize. Their decision is partly based on a personal 'reciprocity motive' (a measure of how much they care about fairness), denoted by R. The minimum amount they are willing to accept from the $100 is calculated using the formula: Minimum Offer = (50R) / (1 + R). If this individual rejects an offer of $25, what must be true about their reciprocity motive, R?
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Alex has a reciprocity motive of R=1, while Ben has a reciprocity motive of R=4.
Which of the following statements accurately compares their situations?
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In a bargaining scenario where the social norm is a 50-50 split of a $100 prize, a person's minimum acceptable offer is determined by their 'reciprocity motive' (R), which measures how much they care about fairness. The formula is: Minimum Acceptable Offer = (50 * R) / (1 + R). Match each level of reciprocity motive (R) to the corresponding minimum acceptable offer.
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Adapting a Bargaining Model