Problem 650. Steal, Share, or Catch

Created by Doug Hull

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>You, I, and a few other characters are going to play a game of</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>Steal, Share or Catch</w:t></w:r><w:r><w:t>. We are going to play it 10,000 times vs. each of the characters.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The rules of the game are this:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>There are two points available each round</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>We will both choose to either Steal, Share, or Catch</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>If we both choose Share, we both get one point.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>If one chooses Steal and the other Share, the Stealer gets two points.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>If one chooses Steal and the other Catch, the Catcher gets two points.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>Any other combination, no one is awarded points.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>You are to write an algorithm that will return either</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>-1: Steal</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>0: Share</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>1: Catch</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>To help you make your choice, you will have a history vector that shows what your choices have been so far, and what the opponent's choices have been. These histories are in the form of:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[[-1\n 1\n 1\n 0]]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Meaning that the first round there was a Steal, then two Catches, then a share.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The characters you will play against are:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>Evil (always steals)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>Good (always shares)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>Chaos (randomly chooses)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>Doug (Something more complicated)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>As this problem runs, I will take the better entries and add them into the cast of characters that you play against. Maybe in a different Cody problem though.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The scores to beat are:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[terribleScore = 0; % works\nbadScore = 23000; % good strategy scores this\nokScore = 26000; % evil strategy scores this\ndecentScore = 29000; % chaos strategy scores this\ngreatScore = 42000; % doug strategy scores this]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>If you can make a winning solution here, it might be added to the </w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/653-steal-share-or-catch-tournament-of-champions\"><w:r><w:t>Tournament of Champions</w:t></w:r></w:hyperlink><w:r><w:t> version of this problem. E-mail me if you want yours added.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

You, I, and a few other characters are going to play a game of Steal, Share or Catch. We are going to play it 10,000 times vs. each of the characters.The rules of the game are this:<ul><li>There are two points available each round</li><li>We will both choose to either Steal, Share, or Catch</li></ul><ul><li>If we both choose Share, we both get one point.</li><li>If one chooses Steal and the other Share, the Stealer gets two points.</li><li>If one chooses Steal and the other Catch, the Catcher gets two points.</li><li>Any other combination, no one is awarded points.</li></ul>You are to write an algorithm that will return either<ul><li>-1: Steal</li><li>0: Share</li><li>1: Catch</li></ul>To help you make your choice, you will have a history vector that shows what your choices have been so far, and what the opponent's choices have been. These histories are in the form of:<pre class="language-matlab">[-1
 1
 1
 0]
</pre>Meaning that the first round there was a Steal, then two Catches, then a share.The characters you will play against are:<ul><li>Evil (always steals)</li><li>Good (always shares)</li><li>Chaos (randomly chooses)</li><li>Doug (Something more complicated)</li></ul>As this problem runs, I will take the better entries and add them into the cast of characters that you play against. Maybe in a different Cody problem though.The scores to beat are:<pre class="language-matlab">terribleScore = 0; % works
badScore = 23000; % good strategy scores this
okScore = 26000; % evil strategy scores this
decentScore = 29000; % chaos strategy scores this
greatScore = 42000; % doug strategy scores this
</pre>If you can make a winning solution here, it might be added to the <a href="http://www.mathworks.com/matlabcentral/cody/problems/653-steal-share-or-catch-tournament-of-champions">Tournament of Champions</a> version of this problem. E-mail me if you want yours added.

Solve

Solution Stats

562 Solutions
76 Solvers

Last Solution submitted on Nov 06, 2020

Last 200 Solutions

Problem Comments

Solution Comments

Solution 1250902

1 Comment

1 Comment

yurenchu on 14 Aug 2017

56710

Solution 1250867

1 Comment

1 Comment

yurenchu on 14 Aug 2017

56582

Solution 1114317

1 Comment

1 Comment

Daniel Pereira on 2 Feb 2017

56477

Solution 182121

1 Comment

1 Comment

Alfonso Nieto-Castanon on 27 Dec 2012

56416

Solution 86759

1 Comment

1 Comment

Albert Yam on 8 May 2012

I lost to Doug.

Problem Recent Solvers76

Problem Tags

gametheory ml101

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 650. Steal, Share, or Catch

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers76

Suggested Problems

More from this Author52

Problem Tags

Community Treasure Hunt

Problem 650. Steal, Share, or Catch

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers76

Suggested Problems

More from this Author52

Problem Tags

Community Treasure Hunt

Players