Confusion about multiple information SetsIs it possible to have a signaling game in which all players are both informed (about themselves) and uniformed (about other players)?Is there a universal type space involving infinite players?Confusion on Strategy Sets in a simultaneous move gameFormal definition of perfect informationHow to visually present a simultaneous game with continuous strategiesTiming of Nature Drawing TypesStrategy sets and SPNEHow to approach such question of two periods and asymmetric information game?The concept of expansion of an information structureConvert a sequential move game into a simultaneous move game
I played my first (rapid) tournament recently and I wanted to calculate my ELO
Why won't the ground take my seed?
Would adding an external lens allow one area outside the focal plane to be in focus?
Why is Madam Hooch not a professor?
Averting Real Women Don’t Wear Dresses
What is the line crossing the Pacific Ocean that is shown on maps?
Generate and graph the Recamán Sequence
What's the point of exercises without answers?
Is there a short way to check uniqueness of values without using 'if' and multiple 'and's?
How can I check type T is among parameter pack Ts... in C++?
Three column layout
If protons are the only stable baryons, why do they decay into neutrons in positron emission?
Avoid bfseries from bolding pm in siunitx
how to remove the dotted white border around focused button text?
Procedurally generate regions on island
How fast can a ship with rotating habitats be accelerated?
“Transitive verb” + interrupter+ “object”?
Dual statement category theory
Can you get infinite turns with this 2 card combo?
AT system without -5v
Children's short story about material that accelerates away from gravity
What's the difference between にしては、 わりに and くせに?
How exactly is a normal force exerted, at the molecular level?
How should I behave to assure my friends that I am not after their money?
Confusion about multiple information Sets
Is it possible to have a signaling game in which all players are both informed (about themselves) and uniformed (about other players)?Is there a universal type space involving infinite players?Confusion on Strategy Sets in a simultaneous move gameFormal definition of perfect informationHow to visually present a simultaneous game with continuous strategiesTiming of Nature Drawing TypesStrategy sets and SPNEHow to approach such question of two periods and asymmetric information game?The concept of expansion of an information structureConvert a sequential move game into a simultaneous move game
.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;
$begingroup$
I'm confronted with the following situation:
First of all nature decides which of two games is played. Then each of two players make a simultaneous move, but only player I knows which game is played.
How can I display this information in extensive form?
The root will be the nature, which decides whether Game I or Game II is played. Now we have two additional layers for each game. Now I would use an information set to display that the moves are taken simultaneously, but how can I display that only player I knows about which game is played?
game-theory bayesian-game extensive-games
asked 12 hours ago
user7802048user7802048
1204 bronze badges
$endgroup$
add a comment |
$begingroup$
I'm confronted with the following situation:
First of all nature decides which of two games is played. Then each of two players make a simultaneous move, but only player I knows which game is played.
How can I display this information in extensive form?
The root will be the nature, which decides whether Game I or Game II is played. Now we have two additional layers for each game. Now I would use an information set to display that the moves are taken simultaneously, but how can I display that only player I knows about which game is played?
game-theory bayesian-game extensive-games
asked 12 hours ago
user7802048user7802048
1204 bronze badges
$endgroup$
add a comment |
$begingroup$
I'm confronted with the following situation:
First of all nature decides which of two games is played. Then each of two players make a simultaneous move, but only player I knows which game is played.
How can I display this information in extensive form?
The root will be the nature, which decides whether Game I or Game II is played. Now we have two additional layers for each game. Now I would use an information set to display that the moves are taken simultaneously, but how can I display that only player I knows about which game is played?
game-theory bayesian-game extensive-games
asked 12 hours ago
user7802048user7802048
1204 bronze badges
$endgroup$
I'm confronted with the following situation:
First of all nature decides which of two games is played. Then each of two players make a simultaneous move, but only player I knows which game is played.
How can I display this information in extensive form?
The root will be the nature, which decides whether Game I or Game II is played. Now we have two additional layers for each game. Now I would use an information set to display that the moves are taken simultaneously, but how can I display that only player I knows about which game is played?
game-theory bayesian-game extensive-games
game-theory bayesian-game extensive-games
asked 12 hours ago
user7802048user7802048
1204 bronze badges
asked 12 hours ago
user7802048user7802048
1204 bronze badges
asked 12 hours ago
user7802048user7802048
1204 bronze badges
asked 12 hours ago
user7802048user7802048
1204 bronze badges
asked 12 hours ago
user7802048user7802048
1204 bronze badges
1204 bronze badges
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
You could represent the game in extensive form like this:
The dashed lines enclose player 2's information set. This encompasses all of player 2's nodes because player 2 observes neither nature's nor player 1's choice. Player 1's information sets are the two singleton nodes because player 1 knows which branch nature has chosen.
answered 12 hours ago
Ubiquitous♦Ubiquitous
14.2k4 gold badges26 silver badges69 bronze badges
$endgroup$
$begingroup$
Thank you! This is exactly what I was looking for. If Player 2 knows which game is played as well I'd circle the first two branches and last to branches, right? If Player 2 doesn't know which game is played, but which action Player 1 took, I'd connect the first and third branch and the second and forth branch, right?
$endgroup$
– user7802048
12 hours ago
$begingroup$
@user7802048 yes, that's right
$endgroup$
– Ubiquitous♦
12 hours ago
add a comment |
Your Answer
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "591"
;
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: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
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%2feconomics.stackexchange.com%2fquestions%2f29922%2fconfusion-about-multiple-information-sets%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
You could represent the game in extensive form like this:
The dashed lines enclose player 2's information set. This encompasses all of player 2's nodes because player 2 observes neither nature's nor player 1's choice. Player 1's information sets are the two singleton nodes because player 1 knows which branch nature has chosen.
answered 12 hours ago
Ubiquitous♦Ubiquitous
14.2k4 gold badges26 silver badges69 bronze badges
$endgroup$
$begingroup$
Thank you! This is exactly what I was looking for. If Player 2 knows which game is played as well I'd circle the first two branches and last to branches, right? If Player 2 doesn't know which game is played, but which action Player 1 took, I'd connect the first and third branch and the second and forth branch, right?
$endgroup$
– user7802048
12 hours ago
$begingroup$
@user7802048 yes, that's right
$endgroup$
– Ubiquitous♦
12 hours ago
add a comment |
$begingroup$
You could represent the game in extensive form like this:
The dashed lines enclose player 2's information set. This encompasses all of player 2's nodes because player 2 observes neither nature's nor player 1's choice. Player 1's information sets are the two singleton nodes because player 1 knows which branch nature has chosen.
answered 12 hours ago
Ubiquitous♦Ubiquitous
14.2k4 gold badges26 silver badges69 bronze badges
$endgroup$
$begingroup$
Thank you! This is exactly what I was looking for. If Player 2 knows which game is played as well I'd circle the first two branches and last to branches, right? If Player 2 doesn't know which game is played, but which action Player 1 took, I'd connect the first and third branch and the second and forth branch, right?
$endgroup$
– user7802048
12 hours ago
$begingroup$
@user7802048 yes, that's right
$endgroup$
– Ubiquitous♦
12 hours ago
add a comment |
$begingroup$
You could represent the game in extensive form like this:
The dashed lines enclose player 2's information set. This encompasses all of player 2's nodes because player 2 observes neither nature's nor player 1's choice. Player 1's information sets are the two singleton nodes because player 1 knows which branch nature has chosen.
answered 12 hours ago
Ubiquitous♦Ubiquitous
14.2k4 gold badges26 silver badges69 bronze badges
$endgroup$
You could represent the game in extensive form like this:
The dashed lines enclose player 2's information set. This encompasses all of player 2's nodes because player 2 observes neither nature's nor player 1's choice. Player 1's information sets are the two singleton nodes because player 1 knows which branch nature has chosen.
answered 12 hours ago
Ubiquitous♦Ubiquitous
14.2k4 gold badges26 silver badges69 bronze badges
answered 12 hours ago
Ubiquitous♦Ubiquitous
14.2k4 gold badges26 silver badges69 bronze badges
answered 12 hours ago
Ubiquitous♦Ubiquitous
14.2k4 gold badges26 silver badges69 bronze badges
answered 12 hours ago
Ubiquitous♦Ubiquitous
14.2k4 gold badges26 silver badges69 bronze badges
14.2k4 gold badges26 silver badges69 bronze badges
$begingroup$
Thank you! This is exactly what I was looking for. If Player 2 knows which game is played as well I'd circle the first two branches and last to branches, right? If Player 2 doesn't know which game is played, but which action Player 1 took, I'd connect the first and third branch and the second and forth branch, right?
$endgroup$
– user7802048
12 hours ago
$begingroup$
@user7802048 yes, that's right
$endgroup$
– Ubiquitous♦
12 hours ago
add a comment |
$begingroup$
Thank you! This is exactly what I was looking for. If Player 2 knows which game is played as well I'd circle the first two branches and last to branches, right? If Player 2 doesn't know which game is played, but which action Player 1 took, I'd connect the first and third branch and the second and forth branch, right?
$endgroup$
– user7802048
12 hours ago
$begingroup$
@user7802048 yes, that's right
$endgroup$
– Ubiquitous♦
12 hours ago
$begingroup$
Thank you! This is exactly what I was looking for. If Player 2 knows which game is played as well I'd circle the first two branches and last to branches, right? If Player 2 doesn't know which game is played, but which action Player 1 took, I'd connect the first and third branch and the second and forth branch, right?
$endgroup$
– user7802048
12 hours ago
$begingroup$
Thank you! This is exactly what I was looking for. If Player 2 knows which game is played as well I'd circle the first two branches and last to branches, right? If Player 2 doesn't know which game is played, but which action Player 1 took, I'd connect the first and third branch and the second and forth branch, right?
$endgroup$
– user7802048
12 hours ago
$begingroup$
@user7802048 yes, that's right
$endgroup$
– Ubiquitous♦
12 hours ago
$begingroup$
@user7802048 yes, that's right
$endgroup$
– Ubiquitous♦
12 hours ago
add a comment |
Thanks for contributing an answer to Economics 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%2feconomics.stackexchange.com%2fquestions%2f29922%2fconfusion-about-multiple-information-sets%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
