The optimal software licensing policy under quality uncertainty

Author(s):  
Jie Zhang ◽  
Abraham Seidmann
2020 ◽  
Vol 57-58 ◽  
pp. 100662
Author(s):  
Douglas Cumming ◽  
Ying Ge ◽  
Huiwen Lai

2021 ◽  
Vol 502 (2) ◽  
pp. 2828-2844
Author(s):  
Meghan E Hughes ◽  
Prashin Jethwa ◽  
Michael Hilker ◽  
Glenn van de Ven ◽  
Marie Martig ◽  
...  

ABSTRACT Dynamical models allow us to connect the motion of a set of tracers to the underlying gravitational potential, and thus to the total (luminous and dark) matter distribution. They are particularly useful for understanding the mass and spatial distribution of dark matter (DM) in a galaxy. Globular clusters (GCs) are an ideal tracer population in dynamical models, since they are bright and can be found far out into the halo of galaxies. We aim to test how well Jeans-Anisotropic-MGE (JAM) models using GCs (positions and line-of-sight velocities) as tracers can constrain the mass and radial distribution of DM haloes. For this, we use the E-MOSAICS suite of 25 zoom-in simulations of L* galaxies. We find that the DM halo properties are reasonably well recovered by the JAM models. There is, however, a strong correlation between how well we recover the mass and the radial distribution of the DM and the number of GCs in the galaxy: the constraints get exponentially worse with fewer GCs, and at least 150 GCs are needed in order to guarantee that the JAM model will perform well. We find that while the data quality (uncertainty on the radial velocities) can be important, the number of GCs is the dominant factor in terms of the accuracy and precision of the measurements. This work shows promising results for these models to be used in extragalactic systems with a sample of more than 150 GCs.


2021 ◽  
pp. 1-20
Author(s):  
Zan Zhang ◽  
Guofang Nan ◽  
Minqiang Li ◽  
Yong Tan

When confronted with a new product, consumers often find it difficult to predict how it will perform, and such uncertainty reduces consumers’ willingness to adopt the product. In this paper, we consider a market whereby consumers decide when and which product to buy, given that they know the product quality of the incumbent but are uncertain about that of the entrant. We investigate how consumer uncertainty about product quality affects firms’ behavior-based pricing and customer acquisition and retention dynamics. Using a two-period vertical model, we find that, under high-end encroachment, an increase in consumer uncertainty reduces the entrant’s profit and hurts the incumbent’s profit when the quality differential between the products is relatively small, whereas, under low-end encroachment, increasing uncertainty not only benefits the incumbent but also can favor the entrant. An important implication for entrants is that the marketing activities, which aim to reduce consumer uncertainty about product functionalities, may fail to improve profitability. We also find that the entrant lowers the price for uninformed customers and raises the price for repeat buyers under high-end encroachment but lowers the price for all customers under low-end encroachment. We further examine the subsidy strategy and show that, when the entrant’s product has a significant quality advantage and consumer uncertainty is high but not very high, the optimal strategy for the entrant is to acquire all consumers who do not buy from the incumbent by providing subsidies and to drop the low-valuation customers by means of a high price after their uncertainty is resolved.


2021 ◽  
Author(s):  
He Huang ◽  
Zhipeng Li ◽  
De Liu ◽  
Hongyan Xu

Motivated by challenges facing IT procurement, this paper studies a hybrid procurement model in which a reverse auction of a fixed-price IT outsourcing contract may be followed by renegotiation to extend the contract’s scope. In this model, the buyer balances the needs to incentivize noncontractible vendor investment and to curb the winning vendor’s information rent by choosing the initial project scope and the buyer’s investment in the quality of the project. We find that a buyer may benefit from inducing ex post renegotiation to motivate vendor investment, especially when the winning vendor has high bargaining power and the quality uncertainty is low. Broadening the initial scope reduces information rent but leaves little room for ex post renegotiation and, hence, discourages vendor investment, whereas increasing the buyer’s investment has opposite effects. Interestingly, the two measures can be strategic substitutes or complements depending on the likelihood of the renegotiation and the two parties’ bargaining powers. The buyer may strategically set a low initial project scope and high investment to incentivize renegotiation and vendor investment, which may explain why many IT outsourcing projects start small and allow expansions. Our findings also generate several testable predictions for IT outsourcing. This paper was accepted by Kartik Hosanagar, information systems.


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