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DESCRIPTION:\nCooperation and Design of Public Goods\nProfessor Carlos Martinez Mori\, CU Denver\nFriday\, December 12th 3:00-4:00PM | Kresge Lecture Hall (TSC 122) |Rated G then PG13 \nBio:\nCarlos Martinez Mori is an Assistant Professor with the Department of Mathematical and Statistical Sciences at CU Denver and a senior fellow with Schmidt Science Fellows. His research interests include\, broadly\, applied and theoretical topics in operations research and algebraic combinatorics.\n \nAbstract:\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.\n \nThis is joint work with Alejandro Toriello.\n\nhttps://today.coloradocollege.edu/events/9485
DTEND:20251212T230000Z
LOCATION:Tutt Science 122 - Lecture Hall (Social Science)
DTSTART:20251212T220000Z
SUMMARY:Fearless Friday: Cooperation and Design of Public Goods with Prof. Carlos Martinez Mori
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