How to know if a card game deck has improved?
$begingroup$
I'm a casual player of a 2-player collectible card game (Magic The Gathering to name it) where your craft your own decks using the cards you gather.
Each deck, played a huge number of times against various other decks will converge to a certain win rate.
Now, the complexity is that each game is different because of the cards you draw and the power of the deck can change a lot.
Is there a mathematical way to determine if, by changing a few cards, my deck gets statistically better? If so, how many games do I have to play to know for sure?
statistics
$endgroup$
add a comment |
$begingroup$
I'm a casual player of a 2-player collectible card game (Magic The Gathering to name it) where your craft your own decks using the cards you gather.
Each deck, played a huge number of times against various other decks will converge to a certain win rate.
Now, the complexity is that each game is different because of the cards you draw and the power of the deck can change a lot.
Is there a mathematical way to determine if, by changing a few cards, my deck gets statistically better? If so, how many games do I have to play to know for sure?
statistics
$endgroup$
$begingroup$
Does the win rate depend only on the deck? Or also the skills of the player? The first question to ask is: how do you measure the quality of a deck? Can you assign a unique numerical value to a deck?
$endgroup$
– Matti P.
Jan 16 at 11:40
$begingroup$
It depends on the skills of the player though they don't vary over time. One can assume the player will play its deck the same way every time. The quality of the deck is related to its win rate but the complexity of the game makes it really hard to give an objective score to a deck without actually playing it.
$endgroup$
– Cydonia7
Jan 16 at 11:41
add a comment |
$begingroup$
I'm a casual player of a 2-player collectible card game (Magic The Gathering to name it) where your craft your own decks using the cards you gather.
Each deck, played a huge number of times against various other decks will converge to a certain win rate.
Now, the complexity is that each game is different because of the cards you draw and the power of the deck can change a lot.
Is there a mathematical way to determine if, by changing a few cards, my deck gets statistically better? If so, how many games do I have to play to know for sure?
statistics
$endgroup$
I'm a casual player of a 2-player collectible card game (Magic The Gathering to name it) where your craft your own decks using the cards you gather.
Each deck, played a huge number of times against various other decks will converge to a certain win rate.
Now, the complexity is that each game is different because of the cards you draw and the power of the deck can change a lot.
Is there a mathematical way to determine if, by changing a few cards, my deck gets statistically better? If so, how many games do I have to play to know for sure?
statistics
statistics
asked Jan 16 at 11:38
Cydonia7Cydonia7
4661411
4661411
$begingroup$
Does the win rate depend only on the deck? Or also the skills of the player? The first question to ask is: how do you measure the quality of a deck? Can you assign a unique numerical value to a deck?
$endgroup$
– Matti P.
Jan 16 at 11:40
$begingroup$
It depends on the skills of the player though they don't vary over time. One can assume the player will play its deck the same way every time. The quality of the deck is related to its win rate but the complexity of the game makes it really hard to give an objective score to a deck without actually playing it.
$endgroup$
– Cydonia7
Jan 16 at 11:41
add a comment |
$begingroup$
Does the win rate depend only on the deck? Or also the skills of the player? The first question to ask is: how do you measure the quality of a deck? Can you assign a unique numerical value to a deck?
$endgroup$
– Matti P.
Jan 16 at 11:40
$begingroup$
It depends on the skills of the player though they don't vary over time. One can assume the player will play its deck the same way every time. The quality of the deck is related to its win rate but the complexity of the game makes it really hard to give an objective score to a deck without actually playing it.
$endgroup$
– Cydonia7
Jan 16 at 11:41
$begingroup$
Does the win rate depend only on the deck? Or also the skills of the player? The first question to ask is: how do you measure the quality of a deck? Can you assign a unique numerical value to a deck?
$endgroup$
– Matti P.
Jan 16 at 11:40
$begingroup$
Does the win rate depend only on the deck? Or also the skills of the player? The first question to ask is: how do you measure the quality of a deck? Can you assign a unique numerical value to a deck?
$endgroup$
– Matti P.
Jan 16 at 11:40
$begingroup$
It depends on the skills of the player though they don't vary over time. One can assume the player will play its deck the same way every time. The quality of the deck is related to its win rate but the complexity of the game makes it really hard to give an objective score to a deck without actually playing it.
$endgroup$
– Cydonia7
Jan 16 at 11:41
$begingroup$
It depends on the skills of the player though they don't vary over time. One can assume the player will play its deck the same way every time. The quality of the deck is related to its win rate but the complexity of the game makes it really hard to give an objective score to a deck without actually playing it.
$endgroup$
– Cydonia7
Jan 16 at 11:41
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3075634%2fhow-to-know-if-a-card-game-deck-has-improved%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3075634%2fhow-to-know-if-a-card-game-deck-has-improved%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$begingroup$
Does the win rate depend only on the deck? Or also the skills of the player? The first question to ask is: how do you measure the quality of a deck? Can you assign a unique numerical value to a deck?
$endgroup$
– Matti P.
Jan 16 at 11:40
$begingroup$
It depends on the skills of the player though they don't vary over time. One can assume the player will play its deck the same way every time. The quality of the deck is related to its win rate but the complexity of the game makes it really hard to give an objective score to a deck without actually playing it.
$endgroup$
– Cydonia7
Jan 16 at 11:41