Problem 1. List all the necessary components for a static game in normal form. After that list all the components of a dynamic game in extended form. Explain the differences and why they are necessarily present. Basically, a game in Normal form has 3 components, while a game in extended has 7 listed in video lectures. Your goal is to identify how are dynamic games different and which differences necessitate the additional components.
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Problem 1. List all the necessary components for a static game in normal form. After that list all the components of a dynamic game in extended form. Explain the differences and why they are necessarily present. Basically, a game in Normal form has 3 components, while a game in extended has 7 listed in video lectures. Your goal is to identify how are dynamic games different and which differences necessitate the additional components.
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- With a short explanation, construct a scenario in which the real-world issue is resolved using a piecewise function.An optimum solution only applies to a mathematical model that represents the issueThe missionaries and cannibals problem is usually stated as follows. Three missionariesand three cannibals are on one side of a river, along with a boat that can hold one ortwo people. Find a way to get everyone to the other side without ever leaving a group of missionariesin one place outnumbered by the cannibals in that place. This problem is famous inAI because it was the subject of the first paper that approached problem formulation from ananalytical viewpoint (Amarel, 1968).b. Implement and solve the problem optimally using an appropriate search algorithm. (Mention the name of the search algorithm, and write the complete answers, Draw the answer using the searching algorithms with complete and all paths and branches.)
- Even an objective computer software can struggle with judging rules. The official rules of football (or soccer, as some people call it) state that the referee may allow play to continue "when the team against which an offence has been committed will benefit from such an advantage" and may penalise "the original offence if the anticipated advantage does not ensue at that time" (Federation Internationale de Football Association 2003).How would you put this rule into action? What are the obstacles involved?Problem 5: Determine which rule of inference is used in each of the following arguments. 1. Alice is a Mathematics major. Therefore, Alice is either a Mathematics major or a computer science major.2. Jerry is a Mathematics major and a computer science major. Therefore, Jerry is a Mathematics major.3. If it is rainy, then the pool will be closed. It is rainy. Therefore, the pool is closed.4. If it snows today, the university will close. The university is not closed today. Therefore,it did not snow today.5. If I go swimming, then I will stay in the sun too long. If I stay in the sun too long, then I will sunburn. Therefore, if I go swimming, then I will sunburn.6. If Socrates is human, then Socrates is mortal. Socrates is human. Thus, Socrates is mortal.Q 2. Given the initial state, goal state, successor function for following. Choose a formulationthat is precise enough to be implemented a. You have three jugs measuring 12 gallons, 8 gallons, and 3 gallons and a waterfaucet.You can fill the jug up or empty them out from one to another or onto the ground.You need to measure out exactly one gallon
- Three persons P1, P2, and P3 were invited by their friend F to make some smørbrød (sandwich made of bread, eggs, and tomato) together. To make a portion of smørbrød, three ingredients are needed: a slice of bread, a slice of tomato, and a slice of an egg. Each of these persons P1, P2, P3 has only one type of each of the ingredients: person P1 has slices of bread person P2 has slices of tomato; person P3 has slices of egg. We assume that persons P1, P2, and P3 each has an unlimited supply of these ingredients (i.e., slices of bread, slices of tomato, slices of egg), respectively. Their friend F, who invited them, also has an unlimited supply of all the ingredients. Here is what happens: the host F puts two random ingredients on the table. Then the invited person who has the third ingredient picks up these other two ingredients, and makes the smørbrød (i.e., takes a slice of bread, puts on it a slice of tomato, and puts on top a slice of egg), and then eats the smørbrød. The host of…Consider the following scenario: A teacher interviews a student, and during the interview the teacher always grades the student. This scenario can be modeled with two use cases -- "Conduct Interview" and "Grade Student". What is the relationship between these two use cases? a) Conduct Interview extends Grade Student b) Grade Student extends Conduct Interview c) Conduct Interview includes Grade Student d) Grade Student includes Conduct Interview3. Consider the rules Age > 40 ⇒ Donor and Age ≤ 50 ⇒¬Donor. a. Are these two rules mutually exclusive? b. Are these two rules exhaustive?
- Create a scenario that involves solving the real-life problem using a piecewise function and give a brief explanation.Problem 5. An Electricity board charges the following rates mentioned in the table for the use of electricity. All users are charged Taka 50 as a meter charge for every month. If any user wants to change/replace his meter, he will be charged taka 2000. The monthly bill will be generated based on ● Customer Category ● Consumed Units ● Phase ● For Category 3 and 5 along with other parameters, you need to also consider flat rate, peak time, and off-peak time. Take input from the user, how many units were consumed during flat rate, peak, or off-peak time. ● Meter Charge Write a program to read the name of the user, Customer Category, Phase, number of units consumed and print out the monthly bill. Note that ● Phase, flat rate, peak time and off-peak time will be appeared based on the customer category. ● The monthly bill will be calculated following the number of Days in a month2. A safe has 5 locks v, w, y and z; all of which must be unlocked for the safe to open. The keys to the locks are distributed among five executives in the following manner.Mr. A has keys for locks v and x. Mr. B has keys for locks v and y. Mr. C has keys for locks w and y. Mr. D has keys for locks x and z. Mr. E has keys for locks v and z.a) Determine the minimal number of executives required to open the safe.b) Find all the combinations of executives that can open the safe; write and expression f(A, B, C, D, E) which specifies when the safe can be opened as a function of what executives are present.c) Who is the essential executive?