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In this study, we consider research and development investment by the government. Our study is motivated by the bias in the budget allocation owing to the competitive funding system. In our model, each researcher presents research plans and…

General Economics · Economics 2019-08-26 Ryosuke Ishii , Kuninori Nakagawa

The primary goal in recommendation is to suggest relevant content to users, but optimizing for accuracy often results in recommendations that lack diversity. To remedy this, conventional approaches such as re-ranking improve diversity by…

Machine Learning · Computer Science 2023-06-12 Itay Eilat , Nir Rosenfeld

This paper studies a search problem where a consumer is initially aware of only a few products. At every point in time, the consumer then decides between searching among alternatives he is already aware of and discovering more products. I…

Theoretical Economics · Economics 2022-02-21 Rafael P. Greminger

Dual risk models are popular for modeling a venture capital or high tech company, for which the running cost is deterministic and the profits arrive stochastically over time. Most of the existing literature on dual risk models concentrated…

Risk Management · Quantitative Finance 2023-02-14 Arash Fahim , Lingjiong Zhu

We study a problem of optimal irreversible investment and emission reduction formulated as a nonzero-sum dynamic game between an investor with environmental preferences and a firm. The game is set in continuous time on an infinite-time…

Mathematical Finance · Quantitative Finance 2026-03-31 Tiziano De Angelis , Caio César Graciani Rodrigues , Peter Tankov

We study the impact of learning on the optimal policy and the time-to-decision in an infinite-horizon Bayesian sequential decision model with two irreversible alternatives, exit and expansion. In our model, a firm undertakes a small-scale…

Optimization and Control · Mathematics 2019-01-15 H. Dharma Kwon , Steven A. Lippman

Optimal designs are usually model-dependent and likely to be sub-optimal if the postulated model is not correctly specified. In practice, it is common that a researcher has a list of candidate models at hand and a design has to be found…

Statistics Theory · Mathematics 2023-03-29 Mingyao Ai , Holger Dette , Zhengfu Liu , Jun Yu

In this paper, we propose a new algorithm for exploratory projection pursuit. The basis of the algorithm is the insight that previous approaches used fairly narrow definitions of interestingness / non interestingness. We argue that allowing…

Methodology · Statistics 2011-12-20 Mohit Dayal

Scientific research funding is allocated largely through a system of soliciting and ranking competitive grant proposals. In these competitions, the proposals themselves are not the deliverables that the funder seeks, but instead are used by…

Physics and Society · Physics 2019-01-04 Kevin Gross , Carl T. Bergstrom

Despite the occurrence of elegant algorithms for solving complex problem, exhaustive search has retained its significance since many real-life problems exhibit no regular structure and exhaustive search is the only possible solution. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-01-04 Toni Stojanovski , Ljupco Krstevski

The history of science reveals that major discoveries are not predictable. Naively, one might conclude therefore that it is not possible to artificially cultivate an environment that promotes discoveries. I suggest instead that open…

Instrumentation and Methods for Astrophysics · Physics 2012-07-18 Abraham Loeb

Research and innovation is important agenda for any company to remain competitive in the market. The relationship between innovation and revenue is a key metric for companies to decide on the amount to be invested for future research. Two…

Digital Libraries · Computer Science 2020-04-22 Mayank Singh , Arindam Pal , Lipika Dey , Animesh Mukherjee

In the global competition, companies are propelled by an immense pressure to innovate. The trend to produce more new knowledge-intensive products or services and the rapid progress of information technologies arouse huge interest on…

Other Computer Science · Computer Science 2012-01-11 J. Xu , Rémy Houssin , Emmanuel Caillaud , Mickaël Gardoni

We employ a natural method from the perspective of the optimal stopping theory to analyze entry-exit decisions with implementation delay of a project, and provide closed expressions for optimal entry decision times, optimal exit decision…

Optimization and Control · Mathematics 2015-12-01 Yong-Chao Zhang

We consider the problem of a decision-maker searching for information on multiple alternatives when information is learned on all alternatives simultaneously. The decision-maker has a running cost of searching for information, and has to…

Theoretical Economics · Economics 2020-04-13 T. Tony Ke , Wenpin Tang , J. Miguel Villas-Boas , Yuming Zhang

We study a sequential decision-making model where a set of items is repeatedly matched to the same set of agents over multiple rounds. The objective is to determine a sequence of matchings that either maximizes the utility of the least…

Computer Science and Game Theory · Computer Science 2025-10-07 Eugene Lim , Tzeh Yuan Neoh , Nicholas Teh

This paper introduces a framework to study innovation in a strategic setting, in which innovators allocate their resources between exploration and exploitation in continuous time. Exploration creates public knowledge, while exploitation…

Theoretical Economics · Economics 2023-12-14 Shangen Li

Exploring new ideas is a fundamental aspect of research and development (R\&D), which often occurs in competitive environments. Most ideas are subsequent, i.e. one idea today leads to more ideas tomorrow. According to one approach, the best…

Multiagent Systems · Computer Science 2025-02-21 Hodaya Lampert , Reshef Meir , Kinneret Teodorescu

Humans have developed considerable machinery used at scale to create policies and to distribute incentives, yet we are forever seeking ways in which to improve upon these, our institutions. Especially when funding is limited, it is…

Multiagent Systems · Computer Science 2023-01-18 Theodor Cimpeanu , Francisco C Santos , The Anh Han

Traditional statistical estimation, or statistical inference in general, is static, in the sense that the estimate of the quantity of interest does not change the future evolution of the quantity. In some sequential estimation problems…

Machine Learning · Computer Science 2021-12-01 Aolin Xu