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SUMMARY:SIAM Student Chapter Presents: Dr. Carlos Martinez Mori
DESCRIPTION:Cooperation and the Design of Public Goods\nWe consider the cooperative elements that arise in the design of public goods\, such as transportation policies and infrastructure. These involve a variety of stakeholders: governments\, businesses\, advocates\, and users. Their eventual deployment is critically dependent on the decision maker’s ability to garner sufficient support from each of these groups; we formalize these strategic requirements from the perspective of cooperative game theory. Specifically\, we introduce non-transferable utility\, linear production (NTU LP) games\, which combine the game-theoretic tensions inherent in public decision-making with the modeling flexibility of linear programming. We derive structural properties regarding the non-emptiness\, representability\, and complexity of the core\, a solution concept that models the viability of cooperation. In particular\, we provide fairly general sufficient conditions under which the core of an NTU LP game is guaranteed to be non-empty\, prove that determining membership in the core is co-NP-complete\, and develop a cutting plane algorithm to optimize various social welfare objectives subject to core membership. Lastly\, we apply these results in a data-driven case study on service plan optimization for the Chicago bus system. We illustrate how\, while cooperation is necessary for the successful deployment of transportation service plans\, it may also have adverse and/or counterintuitive distributive implications. \nThis is joint work with Alejandro Toriello. \nPresented by Dr. Carlos Martinez Mori\, Assistant Professor at the University of Colorado Denver. \nPizza will be served immediately following the lecture!
URL:/math/event/siam-student-chapter-presents-dr-carlos-martinez-mori/
LOCATION:EMS W434
CATEGORIES:Department Meetings
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SUMMARY:Graduate Student Colloquium: Alex Wilson
DESCRIPTION:Representation Theory Through Parking Functions\nThis talk is about parking spaces. No\, not the kind in a grocery store parking lot\, rather a kind of space that appears when you want to study the symmetries of a set of combinatorial objects. If the terms vector space\, group\, and parking functions are already familiar to you\, you’re going to see a topic where they intersect. If those terms mean nothing to you\, then you’ll learn a little about what they are through a concrete example. I hope you’ll come with curiosity\, stay for the pretty pictures\, and leave with a different perspective through which you can view any mathematical objects you’re interested in. \nPresented by by Alex Wilson\, Postdoctoral Visitor at York University. \nJoin us for pizza before the talk from 12:30PM-1:00PM!
URL:/math/event/graduate-student-colloquium-alex-wilson/
LOCATION:EMS W434
CATEGORIES:Graduate Student Colloquia
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