塔克商学院（全称：埃莫斯·塔克工商管理学院；英语：Amos Tuck School of Business Administration）是美国达特茅斯大学的一所商科研究生院，坐落在新罕布什尔州汉诺威市。该院创建于1900年，是世界最早及第一所颁发工商管理硕士研究生学位的商学院，也是美国六所常春藤院校联盟成员之一。在众多商科院校工商管理硕士教育排名中，该院位居前五，是世界一流商学院之一。 塔克商学院本身只授予学生工商管理硕士（MBA）一种学位，但它同时与其它教育机构合作办学，为学生提供双学位机会，也为职员和刚毕业的大学生提供短期培训。该院极为注重自己紧密专注与寄宿制的办学特色，设有46个全日制科系，学生总数稳定在500人左右。院方宣称超过8400名塔克毕业生活跃在各行各业，校友为学校提供的捐赠居所有商学院之首。
Costing nearly three quarters of a trillion dollars annually, the funding for pain research pales in comparison to that spent on cancer, diabetes, and heart disease despite consuming more resources than the three aforementioned summed together. Decentralized science (DeSci) supported by decentralized finance (DeFi) provides a complementary framework for funding and conducting pain research by addressing longstanding limitations in traditional grant systems. Reliance on federal funding often results in structural bottlenecks, transparency gaps, and restricted access to early stage or high-risk scientific ideas. DeSci–DeFi systems employ decentralized ledgers, tokenized utility for governance, and smart contracts to enhance transparent research funding allocations, verifiable workflows, and tamper resistant data management. Decentralized Autonomous Organizations (DAOs) enable community-driven participation in scientific research, can help support milestone-based resource distribution, and facilitate open data dissemination through interoperable infrastructure. Case studies, including longevity focused initiatives, demonstrate the ability of DAOs to support projects that face constraints in conventional channels. Despite technical, regulatory, and governance challenges, DeSci–DeFi represents a practical complement to legacy models and may broaden participation, strengthen reproducibility, and expand the scope of fundable pain research.
We develop a tractable general equilibrium model of cumulative innovation and growth to study the optimal combinations of three patent instruments: a patentability requirement to protect against future incremental innovation, a patent breadth to protect against current imitation, and the patent length governing the duration of its validity. New ideas strictly build upon frontier technologies, with the size of productivity improvements drawn from a stochastic distribution. The model features positive knowledge spillovers, and we discuss when this leads to under-investment in R&D in the market equilibrium relative to the social planner’s benchmark. We characterize analytically how each patent instrument affects research incentives, and further establish that the patentability requirement and patent breadth in the welfare-maximizing combination are each set at a strictly lower level than in the R&D-maximizing combination. Calibrating the model to aggregate data, the welfare-maximizing combination of instruments features a large patent breadth, a long patent duration, but a modest patentability requirement. The quantitative analysis points to sizeable welfare gains from these patent policies, while highlighting the importance of having multiple patent instruments.
