” 辅导COMP524编程课程、 写作JavaCOMP524-JAN21 Safety and Dependability University of LiverpoolCOMP524-JAN21 Continuous Assessment 2Coordinator: Fabio PapacchiniAssessment InformationAssignment Number 2 (of 2)Weighting 15%Assignment Circulated 21/06/2021Deadline 14/07/2021 at 5pm BST (GMT +1)Submission Mode Please submit your solutions electronically on Canvas. You submissionshould have two files: (1) a ZIP file containing executables (the .pm and.pctl files) for the models and properties, and (2) a PDF/DOC/DOCX filethat contains the results and explanations.Submission necessary in order tosatisfy Module requirements?NoLate Submission Penalty Standard UoL Late Penalties policy appliesPlagiarism and Collusion Please be aware of the University guidelines on plagiarism and collusion.COMP524-JAN21 Safety and Dependability University of LiverpoolTask DescriptionEight and a Half Simplified Variation of Seven and a Half. Eight and a half 1 is a spin-the-wheelgame between a player and the bank. It is played with the wheel depicted below (i.e., the wheel is dividedinto 12 equal slices, each slice has a value between 1 and 8, or the value of 12 ). The game consists of tworounds: in a first round, the player can spin the wheel several times, in the second round the bank can spinthe wheel several times.Figure 1: The 8 + 12 wheelThe players round. Starting with a score of 0, the player canrepeatedly? spin the wheel? add the number pointed by the marker to their score.After adding the number to their score, the player can eitherfinish their round, or repeat the above process. However, the playerloses immediately if their score exceeds 8 + 12 .The banks round. Starting with a score of 0, the bank can (sim-ilar to the player in the previous round) repeatedlyspin the wheeladd the number pointed by the marker to the banks score.The bank has to keep on spinning the wheel until the banks score reaches or exceeds the players score.The bank haswon if the banks score at this time does not exceed 8 + 12 andlost if the banks score at this time exceeds 8 + 12 .1. Model the game as a Markov decision process using PRISM or ePMC. (50 marks)2. Assume that we want to maximise the chance of winning. Write a PRISM property and determine themaximal chance to win. (10 marks)3. Describe an optimal winning strategy of the player. (10 marks)4. Assume that we want to minimise the chance of winning. Write a PRISM property and determine theminimal chance to win. (5 marks)Discuss why the chance of winning is like this when the player minimises their chances to win.(5 marks)5. Change the model such that the bank has to exceed the score of the player to stop. (The player,however, still loses immediately when their score exceeds 8 + 12 .) Determine the maximial chance forthe player to win in this case and discuss the question of whether or not their chance to win is fair(giving a brief justification for your answer). (10 marks)6. Briefly ( 123 words) describe a contemporary research problem associated with Markov chains,Markov games, or Markov decision processes. Cite two recent (from 2016 or younger) articles orconference papers related to the problem you describe. (10 marks)1Seven and a half is an Italian card game.请加QQ:99515681 或邮箱:99515681@qq.com WX:codehelp
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