Multi-Objective Optimization Approach to Pure Strategy Equilibria in Games With Imperfect Information
Without the expected utility hypothesis, games with imperfect information can be understood as coupled multi-objective optimizations. Within this framework, equilibria of non-dominated responses are defined and their existence is studied. One class of these equilibria is formulated as Nash equilibri...
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Veröffentlicht in: | IEEE control systems letters 2021-12, Vol.5 (6), p.2162-2167 |
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creator | Jian, Jianan Zeng, Bo Mao, Zhi-Hong |
description | Without the expected utility hypothesis, games with imperfect information can be understood as coupled multi-objective optimizations. Within this framework, equilibria of non-dominated responses are defined and their existence is studied. One class of these equilibria is formulated as Nash equilibria of normal-form games. Another class of these equilibria is formulated with payoff constraints interpreted as robustness of the games. A concrete example is presented and solution methodologies are discussed. |
doi_str_mv | 10.1109/LCSYS.2020.3046674 |
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Within this framework, equilibria of non-dominated responses are defined and their existence is studied. One class of these equilibria is formulated as Nash equilibria of normal-form games. Another class of these equilibria is formulated with payoff constraints interpreted as robustness of the games. A concrete example is presented and solution methodologies are discussed.</description><subject>Aerospace electronics</subject><subject>Bayes methods</subject><subject>Game theory</subject><subject>Games</subject><subject>Optimization</subject><subject>Robustness</subject><subject>uncertain systems</subject><issn>2475-1456</issn><issn>2475-1456</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpNkM1KAzEURoMoWGpfQDd5gak3mUxmsiyl1kKlQhVxNSTxxqZ0OmMmFerTO_1BXH3f5pzFIeSWwZAxUPfz8fJ9OeTAYZiCkDIXF6THRZ4lTGTy8t-_JoO2XQMAK3gOXPUIPu020ScLs0Yb_TfSRRN95X909PWWjpom1NquaKzp8y4gXcagI37u6eRr5zfeBK-p39KprrClbz6u6KxqMLhORmdbV4fqKLohV05vWhyct09eHyYv48dkvpjOxqN5YrnMY8LTblDaTOmUg-KFQVRc2Q_LjIMCHLdCCaaK3KBULLUOFYJwGZcmsyZL-4SfvDbUbRvQlU3wlQ77kkF5aFUeW5WHVuW5VQfdnSCPiH-ASoHLrEh_AXRBZvQ</recordid><startdate>202112</startdate><enddate>202112</enddate><creator>Jian, Jianan</creator><creator>Zeng, Bo</creator><creator>Mao, Zhi-Hong</creator><general>IEEE</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-3025-463X</orcidid><orcidid>https://orcid.org/0000-0001-8849-9851</orcidid><orcidid>https://orcid.org/0000-0002-8689-4281</orcidid></search><sort><creationdate>202112</creationdate><title>Multi-Objective Optimization Approach to Pure Strategy Equilibria in Games With Imperfect Information</title><author>Jian, Jianan ; Zeng, Bo ; Mao, Zhi-Hong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c267t-23267e6c59a320928bee929cdc1bf080f2c4941987be6913cfe9e04f526b5cb53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Aerospace electronics</topic><topic>Bayes methods</topic><topic>Game theory</topic><topic>Games</topic><topic>Optimization</topic><topic>Robustness</topic><topic>uncertain systems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jian, Jianan</creatorcontrib><creatorcontrib>Zeng, Bo</creatorcontrib><creatorcontrib>Mao, Zhi-Hong</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><jtitle>IEEE control systems letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Jian, Jianan</au><au>Zeng, Bo</au><au>Mao, Zhi-Hong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Multi-Objective Optimization Approach to Pure Strategy Equilibria in Games With Imperfect Information</atitle><jtitle>IEEE control systems letters</jtitle><stitle>LCSYS</stitle><date>2021-12</date><risdate>2021</risdate><volume>5</volume><issue>6</issue><spage>2162</spage><epage>2167</epage><pages>2162-2167</pages><issn>2475-1456</issn><eissn>2475-1456</eissn><coden>ICSLBO</coden><abstract>Without the expected utility hypothesis, games with imperfect information can be understood as coupled multi-objective optimizations. 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subjects | Aerospace electronics Bayes methods Game theory Games Optimization Robustness uncertain systems |
title | Multi-Objective Optimization Approach to Pure Strategy Equilibria in Games With Imperfect Information |
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