Question

In: Economics

The Ultimatum Game: A and B are two individuals who are to divide $100. A (chosen...

The Ultimatum Game: A and B are two individuals who are to divide $100. A (chosen randomly by a coin toss) makes an offer to B. There is a minimum offer of $10. Assume, for simplicity, that offers must be evenly divisible by 10 (i.e., A can offer $10, or $20, or $30 etc.) B can either accept or reject the offer. If B accepts, they split the $100 as per the amount offered. For example, if A offers $20, and B accepts, then B gets $20 and A gets $80. Both players have full knowledge of the payoffs and rules of the game. If B rejects, both get nothing and the game ends. Assume that A and B have never met before and will never meet or play this game again, and both know it. Suppose you won the coin toss and you are A. Answer the following: What offer do you make? Why? What did you assume about B's motivation(s)?

Comment on the implications of assuming rational self-interest as the most important motivator for economic choices.

Solutions

Expert Solution

Assuming that both players have full knowledge of the game and are rational, I (as A) would have to make an offer to B that is in both our self interests. Given so, the offer should be such that B can't reject it, since if he rejects it, both of us get nothing. Since B is aware that the total amount is $100, the offer that I'd make would be of $50. This way, since B knows that he cannot get more than that (I am rational), he, as a rational individual will accept it. Both of us will walk away with $50 each.

Rational self-interest is when both the parties are better off than they were before the exchange since both of them is acting so as to maximize their own benefit. For any economic analysis, we have to assume that all parties are rational, they will take actions based on their utility. That is the ultimate motivator because that is what decides the payoffs. Rationality means individuals will attempt to maximize their payoffs.


Related Solutions

Consider the Ultimatum Game, a two-player game often played in experimental economics labs. In the Ultimatum...
Consider the Ultimatum Game, a two-player game often played in experimental economics labs. In the Ultimatum Game, one player is given an amount of money and then instructed to give some arbitrary portion of it to an anonymous second player. The second player has the option of accepting the offer or rejecting it. If the second player rejects the offer, neither player gets anything. Now answer the following question if the First Player is given $100: (a) According to traditional...
(b) In a new casino game, two balls are chosen randomly from an urn containing 8...
(b) In a new casino game, two balls are chosen randomly from an urn containing 8 white, 4 black, and 2 orange balls to see if you will win any money. Suppose that you win $2 for each black ball selected, you lose $1 for each white ball selected, and you get nothing for each orange ball selected. If the casino lets you play this new casino game with no entry fee, what is the probability that you will not...
1) Suppose that a certain population of 100 individuals possesses two alleles (A and B) at...
1) Suppose that a certain population of 100 individuals possesses two alleles (A and B) at a certain locus, and initially consists of the following numbers of genotypes: AA = 9, AB = 42, BB= 49. a) Calculate the initial frequencies of alleles A and B. b) Now suppose that 16 individuals with genotype BB do not survive to reproduce. Calculate the new allele frequencies among the remaining individuals that do reproduce. Assuming that these remaining individuals mate randomly, calculate...
1. One of the most popular games ever created is called the Ultimatum Game. In this...
1. One of the most popular games ever created is called the Ultimatum Game. In this game, there are two players: proposer and responder. The proposer moves first and is given $10 to split. Suppose they can offer any integer amount from 0,1,2,...,10. The responder observes this offer and has two choices: accept or reject. If the responder accepts, the proposed offer goes through. If the responder rejects, both players receive $0. What is the Nash Equilibrium in this game?...
1. One of the most popular games ever created is called the Ultimatum Game. In this...
1. One of the most popular games ever created is called the Ultimatum Game. In this game, there are two players: proposer and responder. The proposer moves first and is given $10 to split. Suppose they can offer any integer amount from 0,1,2,...,10. The responder observes this offer and has two choices: accept or reject. If the responder accepts, the proposed offer goes through. If the responder rejects, both players receive $0. What is the Nash Equilibrium in this game?...
Peggy and Marcy are playing an ultimatum game where Peggy is given $500 and asked to...
Peggy and Marcy are playing an ultimatum game where Peggy is given $500 and asked to propose a way of splitting it with Marcy. When Marcy learns Peggy’s proposal, Marcy chooses whether to accept or reject the split. If Marcy accepts the split, both players receive the money according to Peggy’s split proposal. If Marcy rejects the split, both players receive nothing. This game will be played only once, so Peggy does not have to worry about reciprocity when making...
Two people, Baker and Cutler, play a game in which they choose and divide a prize....
Two people, Baker and Cutler, play a game in which they choose and divide a prize. Baker decides how large the total prize should be; she can choose either $10 or $100. Cutler chooses how to divide the prize chosen by Baker; Cutler can choose either an equal division or a split where he gets 90% and Baker gets 10%. Write down a payoff table of the game and find equilibria for the following situations and answer the final question...
Question 1 [40 pts] – Free Rider Problem –Game Theoretic Modeling Consider two individuals who are...
Question 1 [40 pts] – Free Rider Problem –Game Theoretic Modeling Consider two individuals who are deciding to pay for a public good or not. The value of the public good is 10 for each individual and the cost of the public good is 12 TL. If they both vote yes and agree to pay, they will share the cost equally and the public good is provided. If only one vote yes and agrees to pay, full cost will be...
This is a sequential game with two players A and B. In this game a dime...
This is a sequential game with two players A and B. In this game a dime is put on the table. A can take it or pass. If A takes a dime, the game ends; if A passes, then B can take 2 dimes or pass; if B takes 2 dimes, the game ends; if B passes, then A can take 3 dimes or pass; and so on until a choice of a dollar. This process is shown in the...
EXERCISE 4.10 STRIKES AND THE ULTIMATUM GAME A strike over pay or working conditions may be...
EXERCISE 4.10 STRIKES AND THE ULTIMATUM GAME A strike over pay or working conditions may be considered an example of an ultimatum game. 1. To model a strike as an ultimatum game, who is the Proposer and who is the Responder? 2. Draw a game tree to represent the situation between these two parties. 3. Research a well-known strike and explain how it satisfies the definition of an ultimatum game. 4. In this section, you have been presented with experimental...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT