{"id":{"repo_id":"unlv","oai_identifier":"oai:oasis.library.unlv.edu:rtds-2157"},"canonical_url":"https://search.dev.ndltd.org/etd/unlv/oai:oasis.library.unlv.edu:rtds-2157","repository":{"repo_id":"unlv","name":"University of Nevada - Las Vegas","base_url":"https://oasis.library.unlv.edu/do/oai/"},"display":{"title":"An application of optimal control theory in welfare economics","abstract":"We consider the maximization of a functional representing social welfare over continuous time. A social welfare functional (SWF) is an integral that models social welfare as a function of individual consumption, individual utility of consumption and the value of utility aggregated across individuals. A SWF may be subject to constraints in the form of differential or integral equations and inequalities, which represent the production possibilities of the economy. We solve the optimization problem by applying the Pontryagin maximum principle. We consider an autarky and a command economy. We explore the interaction of impatience and productivity in autarky and the implications of different maxims of distributive justice in a command economy.","abstract_html":"We consider the maximization of a functional representing social welfare over continuous time. A social welfare functional (SWF) is an integral that models social welfare as a function of individual consumption, individual utility of consumption and the value of utility aggregated across individuals. A SWF may be subject to constraints in the form of differential or integral equations and inequalities, which represent the production possibilities of the economy. We solve the optimization problem by applying the Pontryagin maximum principle. We consider an autarky and a command economy. We explore the interaction of impatience and productivity in autarky and the implications of different maxims of distributive justice in a command economy.","abstract_has_math":false,"creators":["Scroggin, Steven Ernest"],"institution":"University of Nevada, Las Vegas","degree_name":"Master of Science (MS)","degree_level":"Thesis","degree_discipline":"Mathematical Sciences","degree_department":null,"school":null,"contributors":["David Costa"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2000,"date_issued":"2000-01-01T08:00:00Z","date_published":"2000-01-01T08:00:00Z","updated_at":"2026-07-24T05:25:11Z","subjects":[],"languages":["English"],"rights":["IN COPYRIGHT. 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We solve the optimization problem by applying the Pontryagin maximum principle. We consider an autarky and a command economy. We explore the interaction of impatience and productivity in autarky and the implications of different maxims of distributive justice in a command economy."]},{"key":"dc:format","label":"Dc Format","values":["pdf"]},{"key":"dc:title","label":"Title","values":["An application of optimal control theory in welfare economics"]}]}],"canonical_facts":{"dc:contributor":["David Costa"],"dc:creator":["Scroggin, Steven Ernest"],"dc:description.abstract":["We consider the maximization of a functional representing social welfare over continuous time. A social welfare functional (SWF) is an integral that models social welfare as a function of individual consumption, individual utility of consumption and the value of utility aggregated across individuals. A SWF may be subject to constraints in the form of differential or integral equations and inequalities, which represent the production possibilities of the economy. We solve the optimization problem by applying the Pontryagin maximum principle. We consider an autarky and a command economy. We explore the interaction of impatience and productivity in autarky and the implications of different maxims of distributive justice in a command economy."],"dc:format":["pdf"],"dc:identifier":["10.25669/kci8-gu4w","https://oasis.library.unlv.edu/rtds/1158","https://oasis.library.unlv.edu/context/rtds/article/2157/viewcontent/uc.pdf"],"dc:language":["English"],"dc:publisher":["University of Nevada, Las Vegas"],"dc:rights":["IN COPYRIGHT. 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