Strategic Offers with an Outside Option

In a one-shot bargaining game, a Proposer is given $100 to split with a Responder. The Proposer makes a single take-it-or-leave-it offer. The rules are then changed: if the Responder rejects the offer, the Proposer gets $0, but the Responder receives a guaranteed payment of $30. Assuming both players are rational and want to maximize their own payoff, what is the lowest offer the Proposer should make to ensure the Responder accepts?

Analyzing the Shift in Bargaining Power

In a one-shot bargaining game, a Proposer is given $100 to divide with a Responder. Initially, if the Responder rejects the Proposer's offer, both players receive $0. The rules are then changed so that if the Responder rejects the offer, they receive a guaranteed payment of $25, while the Proposer still receives $0. Assuming both players are rational and seek to maximize their own payoff, how does this rule change logically alter the Proposer's strategy?

In a one-shot bargaining game, a Proposer is given $100 to divide with a Responder. Initially, if the Responder rejects the Proposer's offer, both players receive $0. The rules are then changed so that if the Responder rejects the offer, they receive a guaranteed payment of $25, while the Proposer still receives $0. Assuming both players are rational and seek to maximize their own payoff, how does this rule change logically alter the Proposer's strategy?

Consider a one-shot bargaining game where a Proposer offers a split of $100. If a new rule is introduced that gives the Responder a guaranteed $30 payment for rejecting an offer, a rational Proposer's best strategy is to offer an amount less than $30 to counteract the Responder's increased bargaining power.

Two separate one-shot bargaining games are conducted, each with a total of $100 to be divided. In Game 1, if the Responder rejects the Proposer's offer, both players receive $0. In Game 2, if the Responder rejects the offer, they receive a guaranteed payment of $40, while the Proposer receives $0. Assuming all players are rational and seek only to maximize their own monetary payoff, which statement best analyzes the difference between the two games?

In a one-shot bargaining game with $100, a Proposer makes a take-it-or-leave-it offer to a Responder. The outcome if the offer is rejected varies across four different scenarios. Assuming all players are rational and want to maximize their own payoff, in which scenario does the Proposer have the most bargaining power (i.e., can claim the largest possible share for themselves that the Responder will accept)?

Evaluating a Policy Change in a Bargaining Scenario

In a one-shot bargaining game, a Proposer is given $100 to divide with a Responder. The rules regarding the outcome of a rejected offer are different in four separate scenarios. Match each scenario with the lowest offer the Responder would rationally accept, assuming they seek only to maximize their own monetary payoff and offers must be in whole dollar amounts.