Draw the game tree for the game starting with 5 matchsticks

Assignment Help Other Subject
Reference no: EM133232451

Consider a game in which two players, Fred and Barney, take turns removing matchsticks from a pile. They start with 21 matchsticks, and Fred goes first. On each turn, each player may remove either 1, 2, 3, or 4 matchsticks. The player to remove the last matchstick wins the game. 1. Suppose there are only 6 matchsticks left, and it is Barney's turn. What move should Barney make to guarantee himself victory? Explain your reasoning. 2. Suppose there are 12 matchsticks left, and it is Barney's turn. What move should Barney make to guarantee himself victory? (Hint: Use your answer to part (a) and roll back.) 3. Now start from the beginning of the game. If both players play optimally, who will win? 4. What are the optimal (complete) strategies for each player? 6. Consider the game in the previous exercise. Suppose the players have reached a point where it is Fred's move and there are just 5 matchsticks left.

1. Draw the game tree for the game starting with 5 matchsticks. 2. Find the rollback equilibria for this game starting with 5 matchsticks. 3. Would you say this 5-matchstick game has a first-mover advantage or a second-mover advantage? 4. Explain why you found more than one rollback equilibrium. How is your answer related to the optimal strategies you found in part (c) of the previous exercise?

 

 

Reference no: EM133232451

Questions Cloud

What is the maximum fixed price sam can charge : What quantity will a customer demand at the market price? What is the maximum fixed price Sam's can charge for this option?
What cpt code is reported for service : Do you have any helpful ideas or strategies to assist your peer in identifying correct codes related to this topic?
Look up the term noblesse oblige : 1. In "A Rose for Emily," Emily Grierson obviously represents the Old South; she is even said to be a "tradition" in the community. List at least five other thi
Understand the characteristics of normal and inferior goods : 1. What information do we gain by isolating the income and substitution effects from each other when examining the effect of a change in price on consumption? H
Draw the game tree for the game starting with 5 matchsticks : Consider a game in which two players, Fred and Barney, take turns removing matchsticks from a pile. They start with 21 matchsticks, and Fred goes first.
Abundance of natural resources and its wealth : Natural Resources and Wealth: What's more important for a country to become wealthy: good institutions or abundant natural resources? Is there a strong positive
Cause for measuring the cost of living : The CPI assumes a fixed basket of goods over time. In fact, consumers are likely to change purchasing behavior over time by purchasing less of the goods whose p
What procedures could have prevented las vegas shooting : What training methods would you provide your staff? What policies/procedures could have prevented the Las Vegas shooting?
Research an attack of choice against the windows : Research an attack of your choice against the Windows, Active Directory, or Linux operating systems.

Reviews

Write a Review

Other Subject Questions & Answers

  What is the developmental stage of older adults

In preparation for the life review paper, you will find and read article describing Erik Erikson's Developmental Stages and answer the following questions.

  Introduction of solid foods until she is eight months old

Why would Emma's physician want to delay the introduction of solid foods until she is eight months old?

  What would be the reason the given may occur

As we concluded the mood disorders we addressed suicidal behavior. This topic and the general topic of self-abusive behavior is often of interest and concern.

  Compares and contrasts the business of methamphetamine

Write a paper that compares and contrasts the business of methamphetamine, analogs, and marijuana. Which business do you think is more effective and efficient?

  Code of hammurabi and the twelve tables were designed to

The code of hammurabi and the twelve tables were designed to

  Discuss the impact of financial policy

Choose a non-profit or government organization and discuss the impact that fiscal policy has had on organization. Impact of Financial Policy

  Create a literature review of articles

Create a literature review of articles that cover some of the main topics of applied social psychology.

  Identify any overarching implications shown in the studies

Identify any overarching implications shown in the studies and describe how these influenced your perspectives on the literature.

  Demonstrate your comprehension of the theories

A combination of these approaches will give you multiple perspectives to share. Demonstrate your comprehension of these theories, arising our of the late 1800's

  Adolescent development theories

Draw from both articles and discuss the issue of bullying in school and other contexts (for example, internet or technology bullying). Take into account how adolescent development theories to explore possible solutions to the problem.

  Define the commission on collegiate nursing education

the requirements for clinical competencies as defined by the Commission on Collegiate Nursing Education

  Determine how i would address the issue

The word metaphor I chose for this scenario is "actuality", because a similar scenario likely unfolds in primary care offices around the country on a daily.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd