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作者:Kubler, Felix; Schmedders, Karl
作者单位:University of Zurich; Swiss Finance Institute (SFI); University of Zurich; Swiss Finance Institute (SFI)
摘要:Multiplicity of equilibria is a prevalent problem in many economic models. Often equilibria are characterized as solutions to a system of polynomial equations. This paper gives an introduction to the application of Grobner bases for finding all solutions of a polynomial system. The Shape Lemma, a key result from algebraic geometry, states under mild assumptions that a given equilibrium system has the same solution set as a much simpler triangular system. Essentially, the computation of all sol...
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作者:Chen, Li
作者单位:Duke University
摘要:In most retail environments, when inventory runs out, the unmet demand is lost and not observed. The sales data are effectively censored by the inventory level. Factoring this censored data effect into demand estimation and inventory control decision makes the problem difficult to solve. In this paper, we focus on developing bounds and heuristics for this problem. Specifically, we consider a finite-horizon inventory control problem for a nonperishable product with unobserved lost sales and a d...
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作者:Ren, Z. Justin; Cohen, Morris A.; Ho, Teck H.; Terwiesch, Christian
作者单位:Boston University; University of Pennsylvania; University of California System; University of California Berkeley
摘要:In this paper, we study the practice of forecast sharing and supply chain coordination with a game-theoretical model. We find that in a one-shot version of the game, forecasts are not shared truthfully by the customer. The supplier will rationally discount the forecast information in her capacity allocation. This results in Pareto suboptimality for both supply chain parties. However, we show that a more efficient, truth-sharing outcome can emerge as an equilibrium from a long-term relationship...
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作者:Armstrong, Christopher S.; Larcker, David F.; Su, Che-Lin
作者单位:University of Pennsylvania; Stanford University; University of Chicago
摘要:The two major paradigms in the theoretical agency literature are moral hazard (i.e., hidden action) and adverse selection (i.e., hidden information). Prior research typically solves these problems in isolation, as opposed to simultaneously incorporating both adverse selection and moral hazard features. We formulate two complementary generalized principal-agent models that incorporate features observed in real-world contracting environments (e. g., agents with power utility and limited liabilit...
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作者:Jula, Payman; Leachman, Robert C.
作者单位:Simon Fraser University; University of California System; University of California Berkeley
摘要:Motivated by scheduling challenges of burn-in ovens in back-end semiconductor manufacturing, we propose a linear-programming-based algorithm, an integer-programming-based algorithm, and a heuristic-based algorithm to schedule non-homogenous parallel batch machines with nonidentical job sizes and incompatible job families. We consider the common scheduling of consecutive steps that are linked together through secondary scarce resources. Our approach addresses the availability and compatibility ...
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作者:Speight, Adam
作者单位:University of Chicago
摘要:I present a self-contained introduction to multigrid methods with an emphasis on techniques relevant to dynamic programming and related problems. A probabilistic interpretation of the numerical principles is highlighted. Multigrid solvers are shown to be naturally matched to the challenges posed by intractable structural dynamic models routinely encountered in applied economics. I argue that multigrid techniques have potential to substantially extend the scale and complexity of models under co...
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作者:Delage, Erick; Ye, Yinyu
作者单位:Universite de Montreal; HEC Montreal; Stanford University
摘要:Stochastic programming can effectively describe many decision-making problems in uncertain environments. Unfortunately, such programs are often computationally demanding to solve. In addition, their solution can be misleading when there is ambiguity in the choice of a distribution for the random parameters. In this paper, we propose a model that describes uncertainty in both the distribution form (discrete, Gaussian, exponential, etc.) and moments (mean and covariance matrix). We demonstrate t...
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作者:Kaplan, Edward H.; Kress, Moshe; Szechtman, Roberto
作者单位:Yale University; United States Department of Defense; United States Navy; Naval Postgraduate School
摘要:During counterinsurgency operations, government forces with superior firepower confront weaker low-signature insurgents. Under what conditions should government (Blue) forces attack insurgent (Red) strongholds? How should the government allocate its force across different strongholds when the insurgents' threat to the Blue civilian population must be taken into account? How should the government respond to smart insurgents who anticipate the government's optimal plan of attack and prepare acco...
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作者:Rauner, Marion S.; Gutjahr, Walter J.; Heidenberger, Kurt; Wagner, Joachim; Pasia, Joseph
作者单位:University of Vienna; University of Vienna; University of Vienna; University of Vienna
摘要:We present a risk-group oriented chronic disease progression model embedded within a metaheuristic-based optimization of the policy variables. Policy-makers are provided with Pareto-optimal screening schedules for risk groups by considering cost and effectiveness outcomes as well as budget constraints. The quality of the screening technology depends on risk group, disease stage, and time. As the metaheuristic solution technique, we use the Pareto ant colony optimization (P-ACO) algorithm for m...
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作者:Judd, Kenneth; van Ryzin, Garrett
作者单位:Columbia University