Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
expand_more
expand_more
format_list_bulleted
Expert Solution & Answer
Chapter 5, Problem 1E
Explanation of Solution
Algorithm for finding optimal move
- The translation uses the model of the opponent to fill in the opponent’s actions leaving the actions to be determined by the search algorithm.
- The search problem is given by
Initial state: P(S0) where S0 is the initial game state. P can be applied as the opponent may play first.
Actions: defined as in the game by ACTIONSs.
Successor function: RESULT′(s, a) = P(RESULT(s, a))
Goal test: goals are terminal states
Step cost: the cost of an action is zero.
Want to see more full solutions like this?
Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
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.
Please 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.
I need a solution to this question quickly
-Given the following search tree, apply the Expected Minmax algorithm to it and show the search tree that would be built by this algorithm.
-Who is the winner player and what is his final utility value?
Chapter 5 Solutions
Artificial Intelligence: A Modern Approach
Knowledge Booster
Similar questions
- 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?arrow_forwardConsider the challenge of determining whether a witness questioned by a law enforcement agency is telling the truth. An innovative questioning system pegs two individuals against each other. A reliable witness can determine whether the other individual is telling the truth. However, an unreliable witness's testimony is questionable. Given all the possible outcomes from the given scenarios, we obtain the table below. This pairwise approach could then be applied to a larger pool of witnesses. Answer the following: 1) If at least half of the K witnesses are reliable, the number of pairwise tests needed is Θ(n). Show the recurrence relation that models the problem. Provide a solution using your favorite programming language, that solves the recurrence, using initial values entered by the user.arrow_forwardImplement the algorithm for an optimal parenthesization of a matrix chain product as dis-cussed in the class.Use the following recursive function as part of your program to print the outcome, assumethe matrixes are namedA1, A2, ..., An.PRINT-OPTIMAL-PARENS(s, i, j){if (i=j) thenprint “A”i else{print “(”PRINT-OPTIMAL-PARENS(s,i,s[i, j])PRINT-OPTIMAL-PARENS(s, s[i, j] + 1, j)print “)”} }a- Test your algorithm for the following cases:1. Find and print an optimal parenthesization of a matrix-chain product whose sequenceof dimensions is<5,10,3, X,12,5,50, Y,6>.2. Find and print an optimal parenthesization of a matrix-chain product whose sequenceof dimensions is<5,10,50,6, X,15,40,18, Y,30,15, Z,3,12,5>. 3. Find and print an optimal parenthesization of a matrix-chain product whose sequenceof dimensions is<50,6, X,15,40,18, Y,5,10,3,12,5, Z,40,10,30,5>. X=10 Y=20 Z=30arrow_forward
- Constructing an Optimal Solution:algorithm MatrixMultiplicationWithAdvice(Ai, A2, ... , A j, birdAdvice) pre- & post-cond: Same as MatrixMultiplication except with advice.arrow_forwardAn agent is trying to eat all the food in a maze that contains obstacles, but he now has the help of his friends! An agent cannot occupy a squarethat has an obstacle. There are initially k pieces of food (represented by dots), at positions (f1,...,fk). Thereare also n agents at positions (p1,...,pn). Initially, all agents start at random locations in the maze. Consider a search problem in which all agents move simultaneously;that is, in each step each agent moves into some adjacent position (N, S, E, or W, or STOP). Note that any number of agents may occupy the same position. Figure 1: A maze with 3 agents Give a search formulation to the problem of looking for both gold and diamondin a maze (wirte step with detail)? Knowing that you have M squares in the maze that do not have an What is the maximum size of the state space.arrow_forwardTrue or False: - Best-first search is optimal in the case where we have a perfect heuristic (i.e., h(?) = h∗(?), the true cost to the closest goal state). - Suppose there is a unique optimal solution. Then, A* search with a perfect heuristic will never expand nodes that are not in the path of the optimal solution.- A* search with a heuristic which is admissible but not consistent is complete.arrow_forward
- The game ping has two rounds. Player A goes first. Let mA 1 denote his first move. Player B goes next. Let mB 1 denote his move. Then player A goes mA 2 , and player B goes mB 2 . The relation AWins(mA 1 , mB 1 , mA 2 , mB 2 ) is true iff player A wins with these moves. 1. Use universal and existential quantifiers to express the fact that player A has a strategy with which he wins no matter what player B does. Use mA 1 , mB 1 , mA 2 , mB 2 as variables. 2. What steps are required in the prover–adversary technique to prove this statement? 3. What is the negation of the above statement in standard form? 4. What steps are required in the prover–adversary technique to prove this negated statement?arrow_forwardHow could we solve the minimal path search problem if we had an Oracle function h(v r) that gave the precise cost of going from v to r? Why is it so difficult to create such a function?arrow_forwardA* search is optimal with an admissible search heuristic Select one: True Falsearrow_forward
- 1 If we had an oracle function h∗(v r), which gives the exact cost of getting from vto r, how could we solve the minimum path search problem? Why is such a functionso hard to form?arrow_forwardHumans are predictable players. Verify this claim by implementing a modeller forRock-Paper-Scissors, which analyses the sequence of human opponent’s choices andpredicts the next move. Analysis could be based on statistical data (i.e. it is likelythat the human player favours a certain choice), or sequential data (i.e. it is likely thatthe human player repeats a certain sequence of choices)arrow_forwardA seller has an indivisible asset to sell. Her reservation value for the asset is s, which she knows privately. A potential buyer thinks that the assetís value to him is b, which he privately knows. Assume that s and b are independently and uniformly drawn from [0, 1]. If the seller sells the asset to the buyer for a price of p, the seller's payoff is p-s and the buyer's payoffis b-p. Suppose simultaneously the buyer makes an offer p1 and the seller makes an offer p2. A transaction occurs if p1>=p2, and the transaction price is 1/2 (p1 + p2). Suppose the buyer uses a strategy p1(b) = 1/12 + (2/3)b and the seller uses a strategy p2(s) = 1/4 + (2/3)s. Suppose the buyer's value is 3/4 and the seller's valuation is 1/4. Will there be a transaction? Explain. Is this strategy profile a Bayesian Nash equilibrium? Explain.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