Reference no: EM131332546
Electronic Mail game Let L>M> 0 be two positive real numbers. Two players play a game in which the payoff function is one of the following two, depending on the value of the state of nature s, which may be 1 or 2:
The probability that the state of nature is s = 2 is p 1/2. Player I knows the true state of nature, and Player II does not know it. The players would clearly prefer to coordinate their actions and play (A, A) if the state of nature is s = 1 and (B,B) if the state is s = 2, which requires that both of them know what the true state is.
Suppose the players are on opposite sides of the globe, and the sole method of communication available to them is e-mail. Due to possible technical communications disruptions, there is a probability of ε > 0 that any e-mail message will fail to arrive at its destination.
In order to transfer information regarding the state of nature from Player I to Player II, the two players have constructed an automated system that sends e-mail from Player I to Player II if the state of nature is s = 2, and does not send any e-mail if the state is s = 1.
To ensure that Player I knows that Player II received the message, the system also sends an automated confirmation of receipt of the message (by e-mail, of course) from Player II to Player I the instant Player I's message arrives at Player II's e-mail inbox. To ensure that Player II knows that Player I received the confirmation message, the system also sends an automated confirmation of receipt of the confirmation message from Player I to Player II the instant Player II's confirmation arrives at Player I's e-mail inbox.
The system then proceeds to send an automated confirmation of the receipt of the confirmation of the receipt of the confirmation, and so forth. If any of these e-mail messages fail to arrive at their destinations, the automated system stops sending new messages. After communication between the players is completed, each player is called upon to choose an action, A or B. Answer the following questions:
(a) Depict the situation as a game with incomplete information, in which each type of each player is indexed by the number of e-mail messages he has received.
(b) Prove that the unique Bayesian equilibrium where Player I plays A when s = 1 is for both players to play A under all conditions.
(c) How would you play if you received 100 e-mail confirmation messages? Explain your answer.
|
What were the factors that caused actual quarterly income
: What were the factors that caused actual quarterly income to be less than budgeted? Quantify the effect of each of these factors. Be as specific as possible.
|
|
Discuss about the hr planning management
: From the e-Activity, recommend two (2) actions that HR managers can take in order to prepare their employees for work in a foreign country. Justify your response.From the scenario, select a country then examine an issue that may occur during the H..
|
|
Confidence interval of the average weight of loaves
: Can the bakery's claimbe rejected at 10% significance level? Explain. Then, calculate the 90% confidence interval of the average weight of loaves of bread.
|
|
What is the test value for hypothesis test
: He surveys a sample of 40 students and finds that for the most recent semester their average cost was $430 with a standard deviation of $80. What is the test value for this hypothesis test?
|
|
Depict the situation as a game with incomplete information
: Depict the situation as a game with incomplete information, in which each type of each player is indexed by the number of e-mail messages he has received.
|
|
Analyze each metric to determine its application
: Identify five metrics that you would include in measuring the success of an organization's talent management function.Analyze each metric to determine its application and relevance for success.Would you assign an equal weight to the metrics you chos..
|
|
Is risk management part of engineering asset management
: ENGG958 Life Cycle and Risk Management Assignment 4: A workplace-based report. What are the risks or risk categories that engineering asset management have to deal with? Is risk management part of engineering asset management? What key issues of risk..
|
|
Series of credit card usage studies
: Starting in 1998, a series of credit card usage studies have been performed by Sallie Mae, a major provider of educational loans and savings programs. In a recent pilot study, a random pool of 122 loan applicants attending four-year colleges had t..
|
|
Describing key design decisions and features of your code
: Create a web page that will allow users to choose between alternative times for sessions that run more than once, i.e. have multiple occurrences - you must complete the design commentary task by describing key design decisions and features of your ..
|