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Problem 49: Which of these factors can shift the Aggregate Demand (AD) curve? More than one correct answer is possible. (a) Large changes in relative prices. (b) Change in net exports. (c) Decrease in consumption C. (d)

1. General A is defending a territory which is accessible by two mountain passes against general B. A has three divisions at her disposal and B has two divisions. Each general allocates her divisions between the two passes. A wins the battle at a pass if and only if she assigns at least as many divisions to the pass as does B. The payo of a general is the number of battles she wins minus the number of battles that she loses. a) Formulate this situation as a strategic game, by setting out the strategy sets and payo matrices. b) Dene a weakly dominated strategy. What are the weakly dominated strategies for each general? c) Show that this game does not have a pure strategy Nash equilibrium. By iteratively eliminating weakly dominated strategies or otherwise, solve for a mixed strategy Nash equilibrium.

he problem of the firm given in class was to maximize the nominal firm value subject to technology and capital law of motion constraints. Note that the class derivation used net investment as the investment concept and the optimal condition that implicitly defines capital/investment demand was given by, mpkt = r (1) where r > 0 is the real interest rate. If instead I had used gross investment as the investment concept, the optimal condition that implicitly defines capital/investment demand would be given by, mpkt = r + (2) where 0 1 is the depreciation rate of capital. Note that the object (firm value) that would need to be maximized under the gross investment concept in real terms would be given by max n1,n2,k2 f(k1, n1) w1n1 [k2 k1(1 )] + 1 1 + r [f(k2, n2) w2n2 + k2(1 )] Let the production function for all t = 1, 2 be given by, f(kt , nt) = k t n 1 t , 0 < < 1 (3) Answer the following questions:

1. (5 points) Qualitatively justify (using words) why r + is the appropriate measure of marginal cost for undertaking investment activity. (Hint: You may want to think in terms of opportunity costs.)

Problem 44. Which of these statements about bank runs are true? More than one answer is possible. (a) The Fed today tries to prevent bank runs by attempting to reduce the amount high-powered money. (b) Bank runs are impossible on a bank that holds 100% reserves. (c) Bank runs stopped altogether with the advent of federal deposit insurance (FDIC). (d) Bank runs tend to be isolated and have no effect on overall confidence in the economy. (e) The Fed today tries to bail out certain large banks thought to be "too big to fail." (f) Federal deposit insurance (FDIC) was the first attempt to protect depositors against the consequences of bank runs.

Problem 45. Which of these statements about moral hazard are true? More than one answer is possible. (a) The reckless behavior of some teenagers can be considered a case of moral hazard. (b) The risk-taking of an entrepreneur who has invested his life savings in a project can be considered a case of moral hazard. (c) The Fed bailing out banks deemed "too big to fail" creates a moral hazard. (d) Moral hazard is a type of principal-agent problem. (e) Moral hazard facilitates irresponsible behavior. (f) When economic functions, roles, and duties are determined on a private property basis rather than a socialized basis, moral hazard is more prevalent. (g) Moral hazard entails the consequences of an agent's behavior being partially shared by his principal. (h) Moral hazard occurs when an individual fully suffers the consequences of his actions; thereby, the alleged "morality" of full individual responsibility is hazardous to individual actors having to bear the brunt of it.

Problem 46. Which of these statements about the credit channel are true? More than one correct answer is possible. (a) The credit channel results from higher values of collateral being available for loans. (b) The credit channel has an equal impact on large and small banks. (c) The credit channel occurs when an increase in the interest rate reduces the number of loans that banks provide. (d) The credit channel is a channel by which banks extend credit to one another. (e) The credit channel is a type of credit rationing resulting from monetary policy.

Problem 47. Which of these statements regarding the rule-based and discretion-based approaches to monetary policy are true? More than one correct answer is possible. (a) Imperfect information and policy lags render a discretion-based approach less effective than would have been the case otherwise. (b) A discretion-based policy is designed to be as predictable as possible. (c) A rule-based monetary policy offers greater predictability to agents in the economy. (d) A rule-based monetary policy is more flexible than a discretion-based monetary policy. (e) A discretion-based policy is particularly suited to developing countries, where the central banks have shown that they cannot be trusted with following simple rules.

Problem 47. Which of these statements regarding the rule-based and discretion-based approaches to monetary policy are true? More than one correct answer is possible. (a) Imperfect information and policy lags render a discretion-based approach less effective than would have been the case otherwise. (b) A discretion-based policy is designed to be as predictable as possible. (c) A rule-based monetary policy offers greater predictability to agents in the economy. (d) A rule-based monetary policy is more flexible than a discretion-based monetary policy. (e) A discretion-based policy is particularly suited to developing countries, where the central banks have shown that they cannot be trusted with following simple rules.

Problem 48. Which of these statements about monetary policy targets are true? More than one correct answer is possible. (a) The Federal Reserve Bank of the United States has a dual mandate and works to influence both prices and employment levels. (b) It is possible to target the money supply and interest rates simultaneously. (c) Targeting the money supply always results in less output variability than targeting interest rates.

(d) When the LM curve is the source of fluctuations, then the Fed should target the money supply in order to reduce output variability. (e) When the LM curve is the source of fluctuations, then the Fed should target interest rates in order to reduce output variability. (f) When the IS curve is the source of fluctuations, then the Fed should target interest rates in order to reduce output variability.

Problem 49: Which of these factors can shift the Aggregate Demand (AD) curve? More than one correct answer is possible. (a) Large changes in relative prices. (b) Change in net exports. (c) Decrease in consumption C. (d) Increase in government spending G. (e) New government regulations. (f) Changes in the tax rate. (g) Changes in labor supply. (h) Anything that shifts the IS curve. (i) Discoveries of new natural resources. (j) New technologies. (k) Substantial changes in weather. (l) Anything that shifts the LM curve.

1. General A is defending a territory which is accessible by two mountain passes against general B. A has three divisions at her disposal and B has two divisions. Each general allocates her divisions between the two passes. A wins the battle at a pass if and only if she assigns at least as many divisions to the pass as does B. The payo of a general is the number of battles she wins minus the number of battles that she loses. a) Formulate this situation as a strategic game, by setting out the strategy sets and payo matrices. b) Dene a weakly dominated strategy. What are the weakly dominated strategies for each general? c) Show that this game does not have a pure strategy Nash equilibrium. By iteratively eliminating weakly dominated strategies or otherwise, solve for a mixed strategy Nash equilibrium.

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KidFrogPerson259Answered1 day ago

A pure-strategy Nash equilibrium is an action profile with the property that no single player i can obtain a higher payoff by choosing an action different from a_i, given every other player j adheres to a_j. For example, a game involves two players, each of whom could choose two available actions, which are X and Y.

In game theory, a player's strategy is any of the options which they choose in a setting where the outcome dependsnot onlyon their own actionsbuton the actions of others. The discipline mainly concerns the action of a player in a game affecting the behavior or actions of other players. Some examples of "games" include chess, bridge, poker, monopoly, diplomacy or battleship.

Explanation:

A pure-strategy Nash equilibrium is an action profile with the property that no single player i can obtain a higher payoff by choosing an action different from a_i, given every other player j adheres to a_j. For example, a game involves two players, each of whom could choose two available actions, which are X and Y.

In game theory, a player's strategy is any of the options which they choose in a setting where the outcome dependsnot onlyon their own actionsbuton the actions of others. The discipline mainly concerns the action of a player in a game affecting the behavior or actions of other players. Some examples of "games" include chess, bridge, poker, monopoly, diplomacy or battleship.

A player's strategy will determine the action which the player will take at any stage of the game. In studying game theory, economists enlist a more rational lens in analyzing decisions rather than the psychological or sociological perspectives taken when analyzing relationships between decisions of two or more parties in different disciplines.

The strategy concept is sometimes (wrongly) confused with that of a move. A move is an action taken by a player at some point during the play of a game. A strategy on the other hand is a complete algorithm for playing the game, telling a player what to do for every possible situation throughout the game. It is helpful to think about a "strategy" as a list of directions, and a "move" as a single turn on the list of directions itself.

This strategy is based on the payoff or outcome of each action. The goal of each agent is to consider their payoff based on a competitors action. For example, competitor A can assume competitor B enters the market. From there, Competitor A compares the payoffs they receive by entering and not entering.

The next step is to assume Competitor B doesn't enter and then consider which payoff is better based on if Competitor A chooses to enter or not enter. This technique can identify dominant strategies where a player can identify an action that they can take no matter what the competitor does to try and maximize the payoff.