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  1. PODifferences between Monte-Carlo and Markov Chains techniques?
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    <p>I want to develop <code>RISK board game</code> which will include an AI for computer players. Moreoveor, i read two articles about it and realized that i must learn about <code>Monte Carlo Simulation</code> and <code>Markov Chains</code> techniques. And i thought that i have to use these techniques together but i guess they are different techniques relevant to calculate probabilities about transition states. So could anyone explain what are the important differences and advantages and disadvantages between them. Finally, which way you will prefer if you would implement an AI for RISK game ?. I will appreciate for every response and thanks anyway.</p> <p>EDIT 1: </p> <p>article 1 -> Sharon Blatt. Risky business: An in-depth look at the game risk. Rose-Hulman Institute of Technology Undergraduate Mathematics Journal, 3(2), 2002.</p> <p>Here is the link --> <a href="http://www.rose-hulman.edu/mathjournal/archives/2002/vol3-n2/paper3/v3n2-3pd.pdf" rel="noreferrer">Sharon Blatt</a></p> <p>article 2 -> An Intelligent Artificial Player for the Game of Risk</p> <p>Here is the link --> <a href="https://www.google.com.tr/url?sa=t&amp;rct=j&amp;q=&amp;esrc=s&amp;source=web&amp;cd=1&amp;cad=rja&amp;ved=0CC8QFjAA&amp;url=http://www.ke.tu-darmstadt.de/bibtex/attachments/single/118&amp;ei=3zCJUdWCAYLLPe2cgIAJ&amp;usg=AFQjCNEW3A9Xmo67qgkqcaPVVl4plgKKiA&amp;sig2=9mC1_MOqjaFDRDbaRqVzCw&amp;bvm=bv.46226182,d.ZWU" rel="noreferrer">An Intelligent Artificial Player</a></p> <p>EDIT 2: here you can find simple determined probabilities about outcomes of a battle in risk board game and the brute force algorithm is used. So on, there is a tree diagram to which speficies all possible states. My question is do i use Monte Carlo or Markov Chain on this tree ?</p> <p>Link for RISK analysis --> <a href="http://datagenetics.com/blog/november22011/" rel="noreferrer">RISK analysis</a></p>
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