Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
expand_more
expand_more
format_list_bulleted
Concept explainers
Expert Solution & Answer
Chapter 5, Problem 3E
a.
Explanation of Solution
Game tree
- The values are just minus the...
b.
Explanation of Solution
Strongest fact about the value
The name of the
c.
Explanation of Solution
Name of the node
- The name of the node is b...
d.
Explanation of Solution
Bound on the value
- The shortest-path length between the two players is a lower bound on the total capture
Time.
- It have a capture time greater than or equal to the sum of the cost from the root and the shortestpath length...
e.
Explanation of Solution
Nodes that do not expand
- The right child is known to ...
f.
Explanation of Solution
Winner of the game
- The pursuer always wins the game if the tree is finite.
- The tree is assumed to be roo...
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A tourist representative problem has the following questions: “Given a list of cities and the distances between each pair countries.
What is the shortest possible route that visits each country exactly once and returns to the origin country?
What is the possible route if the Greedy Algorithm is used?
The table below lists down the distances (kilometers) between countries having direct routes as well as the corresponding distances between them. Show your graph and solutions.
Manila
Hongkong
Sydney
London
New York
Los Angeles California
Manila
-
1116
6260
10760
11740
13700
Hongkong
1116
-
7400
9646
12960
11656
Sydney
6260
7400
-
17020
16020
12078
London
10760
9646
17020
-
5585
8760
New York
11740
12960
16020
5585
-
3944
Los Angeles California
13700
11656
12078
8760
3944
-
Alice and Bob are sharing a cake. First Alice divides the cake into two pieces, then Bob chooses one piece, leaving Alice with the other piece. Alice can either divide the cake in half (a ratio of 1 : 1) or in a 1 : 2 ratio. Modeling this as a game gives the following game tree.
For each of the following scenarios, write down the value for each of the three non-terminal nodes of the game treeIn other words, write down the utility that Alice should expect to receive in each of the game states given knowledge of the player strategies described below.
Suppose both Alice and Bob are playing adversarially, each trying to maximize the amount of cake they receive.
Suppose Alice still tries to maximize her share of the cake, but now Bob plays collaboratively, working to also help Alice get as much of the cake as possible.
Suppose Alice still tries to maximize her share of the cake, but now Bob plays randomly, choosing the larger piece of cake with probability p. The state values will now be…
Given an abstraction of the City Tube Map where each node represents the city’s attraction, plan the trip for the tourist to visit. Start from node 1 that is their hotel, a group of tourists wants to visit all places. However, due to the time limitation, they can only visit each attraction once. To find the best order of places to visit, genetic algorithm can be used to derive the best possible solutions.
Chapter 5 Solutions
Artificial Intelligence: A Modern Approach
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Similar questions
- illustrates the procedure to obtain the optimal binary search tree,given the list of keys ? = {a1,a2,.....an} and the probabilities Pi, 1≤ ? ≤? andQi,0≤ ? ≤narrow_forwardQ1) how many graphs are there on 20 nodes? (To make this question precise, we have to make sure we known what it mean that two graphs are the same . For the purpose of this exercise,we consider the nodes given and labeled,say,asAlice ,Bob,...... The graph consisting of a single edge connecting Alice and Bob is different from the graph consisting of a single edge connecting Eve and frank.) Q2) Formulate the following assertion as a theorem about graphs and prove it :At every party one can find two people who know the same number of other people (like Bob and Eve in our first example).arrow_forwardPlease don't use handwritting for this question How would you modify the dynamic programming algorithm for the coin collecting problem if some cells on the board are inaccessible for the robot? Apply your algorithm to the board below, where the inaccessible cells are shown by X’s. How many optimal paths are there for this board? You need to provide 1) a modified recurrence relation, 2) a pseudo code description of the algorithm, and 3) a table that stores solutions to the subproblems.arrow_forward
- link(a,b). link(a,c). link(b,c). link(b,d). link(c,d). link(d,e). link(d,f). link(e,f). link(f,g). Using the above Formulate the appropriate Prolog predicate "path(X,Y,N)" which is true if (and only if) there is a path of length "N" from node "X" to node "Y". For example, there is a path of lengtharrow_forwardConsider the use of a genetic algorithm on this 0-1 Knapsack Problem W = 19 P1 = 20, w1 = 2 P2 = 30, w2 = 6 P3 = 36, w2 = 9 P4 = 16, w3 = 8 If an individual in the population is given the string: "0,1,0,1" then the measure of fitness would be?arrow_forwardReview the 8-puzzle problem. Consider that the initial state is 1 3 48 27 6 5and the goal state is1 2 38 47 6 5Apply the breath-first-search method to obtain the path from the initial state to the goal state. Youneed to show the corresponding search tree. As soon as you find the goal state, you can stop the searchprocess.arrow_forward
- a) Draw the connected subgraph of the given graph above which contains only four nodes ACGB and is also a minimum spanning tree with these four nodes. What is its weighted sum? Draw the adjacency matrix representation of this subgraph (use boolean matrix with only 0 or 1, to show its adjacency in this case).b) Find the shortest path ONLY from source node D to destination node G of the given graph above, using Dijkstra’s algorithm. Show your steps with a table as in our course material, clearly indicating the node being selected for processing in each step.c) Draw ONLY the shortest path obtained above, and indicate the weight in each edge in the diagram. Also determine the weighted sumarrow_forwardConsider a Diffie-Hellman scheme with a common prime q = 17 and a primitive root α = 3. a) If user A has a private key XA=4, what is A’s public key, YA? b) A sends YA to B. If B has a private key XB=6, what is the shared secret key, K that B can calculate and share with A? c) If B computes YB and sends it to A, what is the shared secret Key, K computed by A?arrow_forwardSuppose we have the following undirected graph, and we know that the two bolded edges (B-E and G-E) constitute the global minimum cut of the graph. 1. If we run the Karger’s algorithm for just one time to find the global minimum cut, what is the probability for the algorithm to find the minimum cut correctly? Please show your reasoning process. 2. How many times do we need to run the Karger’s algorithm if we want to guarantee that the probability of success is greater than or equal to 0.95, by “success” we mean that there is at least one time the Karger’s algorithm correctly found the minimum cut. Please show your reasoning process. [You do not have to work out the exact value of a logarithm]arrow_forward
- What are the three prerequisites for a network to function optimally? Let's break them down and examine them separately.arrow_forwardGiven the graph below, what should be the souce node such that in finding the shortest path tree, the result would be the same whe the minimum spanning tree is searched?arrow_forwardLet G = (V, E) be an undirected graph and each edge e ∈ E is associated with a positive weight ℓ(e).For simplicity we assume weights are distinct. Is the following statement true or false? Let P be the shortest path between two nodes s, t. Now, suppose we replace each edge weight ℓ(e) withℓ(e)^2, then P is still a shortest path between s and t.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole
Operations Research : Applications and Algorithms
Computer Science
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Brooks Cole