Apply crytography to achieve optimality in a game-theoretic problem
This thesis report is submitted in partial fulfillment of the requirements for the degree of Bachelor of Science in Computer Science and Engineering, 2014.
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BRAC University
2015
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10361-39752022-01-26T10:08:14Z Apply crytography to achieve optimality in a game-theoretic problem Reza, Adnan Mahmud, Akib Sabrin, Shaila Ali, Abu Mohammad Hammad Abdallah, Dr. Wahid Department of Computer Science and Engineering, BRAC University Computer science and engineering Cryptography This thesis report is submitted in partial fulfillment of the requirements for the degree of Bachelor of Science in Computer Science and Engineering, 2014. Cataloged from PDF version of thesis report. Includes bibliographical references (page 25 - 26). We aim to use cryptography to solve a game-theoretic problem which is prevalent in the area of two party strategic games. The standard game-theoretic solutions concept for such games is that of a Nash equilibrium: a pair of “self-enforcing” strategies which makes each player’s strategy an optimal response to the other player’s strategy. It is known that for many games the expected equilibrium payoffs can be much higher when a trusted third party i.e. a “mediator” assists in choosing their moves (correlated equilibria), than when each play has to choose its move on its own (Nash Equilibria). It is natural to ask whether there exists a mechanism (cryptographic protocol) that eliminates the need for the mediator yet allows the players to maintain the high payoffs offered by mediator-assisted strategies. We answer this question by extending the original game by adding an initial step in which the two players communicate, and then proceed to execute the game as usual. By incorporating our cryptographic protocol into a game-theoretic setting, we hope to highlight some interesting parallels between cryptographic protocols and two-party games. An interesting aspect of our work is the synergy achieved between cryptographic algorithms and game-theoretic problems: By implementing the cryptographic protocol in the game theoretic problem, we gain in the game theory front by eliminating the need for the mediator; we also gain on the cryptography front: for instance, we eliminate the problem of early stopping. Adnan Reza Akib Mahmud Shaila Sabrin B. Computer Science and Engineering 2015-02-06T06:52:39Z 2015-02-06T06:52:39Z 2014 2014 Thesis ID 14141012 ID 14341014 ID 14141013 http://hdl.handle.net/10361/3975 en BRAC University thesis are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. 26 pages application/pdf BRAC University |
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Brac University |
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Institutional Repository |
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English |
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Computer science and engineering Cryptography |
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Computer science and engineering Cryptography Reza, Adnan Mahmud, Akib Sabrin, Shaila Apply crytography to achieve optimality in a game-theoretic problem |
description |
This thesis report is submitted in partial fulfillment of the requirements for the degree of Bachelor of Science in Computer Science and Engineering, 2014. |
author2 |
Ali, Abu Mohammad Hammad |
author_facet |
Ali, Abu Mohammad Hammad Reza, Adnan Mahmud, Akib Sabrin, Shaila |
format |
Thesis |
author |
Reza, Adnan Mahmud, Akib Sabrin, Shaila |
author_sort |
Reza, Adnan |
title |
Apply crytography to achieve optimality in a game-theoretic problem |
title_short |
Apply crytography to achieve optimality in a game-theoretic problem |
title_full |
Apply crytography to achieve optimality in a game-theoretic problem |
title_fullStr |
Apply crytography to achieve optimality in a game-theoretic problem |
title_full_unstemmed |
Apply crytography to achieve optimality in a game-theoretic problem |
title_sort |
apply crytography to achieve optimality in a game-theoretic problem |
publisher |
BRAC University |
publishDate |
2015 |
url |
http://hdl.handle.net/10361/3975 |
work_keys_str_mv |
AT rezaadnan applycrytographytoachieveoptimalityinagametheoreticproblem AT mahmudakib applycrytographytoachieveoptimalityinagametheoreticproblem AT sabrinshaila applycrytographytoachieveoptimalityinagametheoreticproblem |
_version_ |
1814307311776169984 |