scholarly journals Markov Perfect Equilibria in Multi-Mode Differential Games with Endogenous Timing of Mode Transitions

Author(s):  
Herbert Dawid ◽  
Serhat Gezer

AbstractWe study Markov perfect equilibria (MPE) of two-player multi-mode differential games with controlled state dynamics, where one player controls the transition between modes. Different types of MPE are characterized distinguishing between delay equilibria, inducing for some initial conditions mode switches after a positive finite delay, and now or never equilibria, under which, depending on the initial condition, a mode switch occurs immediately or never. These results are applied to analyze the MPE of a game capturing the dynamic interaction between two incumbent firms among which one has to decide when to extend its product range by introducing a new product. The market appeal of the new product can be influenced over time by both firms through costly investments. Under a wide range of market introduction costs a now or never equilibrium coexists with a continuum of delay equilibria, each of them inducing a different time of product introduction.

2011 ◽  
Vol 24 (2) ◽  
Author(s):  
Kim E. Schatzel ◽  
Roger J. Calantone ◽  
Cornelia Droge

<p class="MsoBodyTextIndent" style="text-align: justify; line-height: normal; text-indent: 0in; margin: 0in 0in 0pt;"><span style="font-size: 10pt;"><span style="font-family: Times New Roman;">New product preannouncement research investigates formal and deliberate communications by a firm regarding its future new product introductions (e.g., types of new products, new product attributes, plans for distribution, planned launch date). However, previous studies have primarily focused on communication related to the firm&rsquo;s intent to introduce a new product and largely ignored communications regarding changes in their status, such as launch delays as well as cancellation of the new product introduction. The goal of this study is to address this shortfall by examining antecedents factors<span style="mso-spacerun: yes;">&nbsp; </span>influencing a preannouncing firm (i.e., one that preannounces its new products) to also announce changes in to its new product introduction plans (NPCs); specifically, delays in the introduction of a new product or its cancellation. This topic is particularly relevant given the importance that recent studies have placed on the investigation of false new product preannouncements or bluffs, especially in the software industry where they are termed vaporware.<span style="mso-spacerun: yes;">&nbsp; </span>Furthermore, in the wake of the many recent high-profile corporate scandals (e.g., Enron and Tyco), a growing emphasis on corporate disclosure, particularly regarding performance shortfalls (e.g., new product delays and cancellations), also highlights the need for further research on corporate communication regarding changes to new product introduction plans.<span style="mso-spacerun: yes;">&nbsp; </span>Additionally, unlike most extant preannouncement research that attempts to examine differences between preannouncers and non-preannouncers, our study only examines firms that preannounce their new product introductions and then, goes further, by examining post-preannouncement behavior. In developing our framework, we propose five antecedents that motivate a preannouncing firm&rsquo;s propensity, when the situation arises, to issue announcements regarding delays in a new product introduction or its cancellation. Additionally, we highlight the use of NPCs as strategic marketing communication tools that can continually inform and influence a wide range of target audiences (e.g., buyers, employees, supply chain participants, investors, and business media). The hypotheses are tested via factor score regression with a sample of 221 U.S. &ndash; based manufacturers. Our findings indicate that it is not the firm&rsquo;s desire to communicate in a general sense through information sharing nor its concerns regarding competitors that motivates preannouncing firms to issue NPCs. Instead, the preannouncing firm&rsquo;s desire to build its reputation, the innovativeness of its industry, and the degree to which buyers must make substantial pre-purchase investments are the main drivers of communication regarding changes to its new product introduction plans. As a set, these findings are particularly interesting as they indicate that the preannouncing firm&rsquo;s desire to reduce uncertainty, often in its own favor, underlies its decision to issue NPCs. </span></span></p>


2017 ◽  
Vol 45 (5) ◽  
pp. 1889-1926 ◽  
Author(s):  
Sorin M. S. Krammer

Despite the consensus on the negative country-level implications of corruption, its consequences for firms are less understood. This study examines the effect of bribery on the innovative performance of firms in emerging markets as reflected by new product introductions. I argue that bribery may help innovators in these markets to introduce new products by overcoming bureaucratic obstacles, compensating for the lack of kinship or political affiliations, and hedging against political risk. I also propose that the relationship between firm bribery and new product introduction will be negatively moderated (i.e., weakened) by the quality of the formal and informal institutions in place. Employing data from over 6,000 firms in 30 emerging markets and a wide range of empirical tests, my results support these hypotheses. These findings extend transaction costs economics by showing that bureaucratic obstacles and uncertainty can drive firms into illegal cost minimization strategies. Moreover, they augment institutional theory by expounding upon the ways that norms and informal practices moderate the efficiency of firm strategies in emerging markets.


2021 ◽  
Vol 11 (1) ◽  
Author(s):  
R. Mendes ◽  
J. C. B. da Silva ◽  
J. M. Magalhaes ◽  
B. St-Denis ◽  
D. Bourgault ◽  
...  

AbstractInternal waves (IWs) in the ocean span across a wide range of time and spatial scales and are now acknowledged as important sources of turbulence and mixing, with the largest observations having 200 m in amplitude and vertical velocities close to 0.5 m s−1. Their origin is mostly tidal, but an increasing number of non-tidal generation mechanisms have also been observed. For instance, river plumes provide horizontally propagating density fronts, which were observed to generate IWs when transitioning from supercritical to subcritical flow. In this study, satellite imagery and autonomous underwater measurements are combined with numerical modeling to investigate IW generation from an initial subcritical density front originating at the Douro River plume (western Iberian coast). These unprecedented results may have important implications in near-shore dynamics since that suggest that rivers of moderate flow may play an important role in IW generation between fresh riverine and coastal waters.


Author(s):  
E. Thilliez ◽  
S. T. Maddison

AbstractNumerical simulations are a crucial tool to understand the relationship between debris discs and planetary companions. As debris disc observations are now reaching unprecedented levels of precision over a wide range of wavelengths, an appropriate level of accuracy and consistency is required in numerical simulations to confidently interpret this new generation of observations. However, simulations throughout the literature have been conducted with various initial conditions often with little or no justification. In this paper, we aim to study the dependence on the initial conditions of N-body simulations modelling the interaction between a massive and eccentric planet on an exterior debris disc. To achieve this, we first classify three broad approaches used in the literature and provide some physical context for when each category should be used. We then run a series of N-body simulations, that include radiation forces acting on small grains, with varying initial conditions across the three categories. We test the influence of the initial parent body belt width, eccentricity, and alignment with the planet on the resulting debris disc structure and compare the final peak emission location, disc width and offset of synthetic disc images produced with a radiative transfer code. We also track the evolution of the forced eccentricity of the dust grains induced by the planet, as well as resonance dust trapping. We find that an initially broad parent body belt always results in a broader debris disc than an initially narrow parent body belt. While simulations with a parent body belt with low initial eccentricity (e ~ 0) and high initial eccentricity (0 < e < 0.3) resulted in similar broad discs, we find that purely secular forced initial conditions, where the initial disc eccentricity is set to the forced value and the disc is aligned with the planet, always result in a narrower disc. We conclude that broad debris discs can be modelled by using either a dynamically cold or dynamically warm parent belt, while in contrast eccentric narrow debris rings are reproduced using a secularly forced parent body belt.


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