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On the Duration and Intensity of Competitions in Nonlinear Pólya Urn Processes with Fitness
[article]
2017
arXiv
pre-print
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Our findings can shed light on the application of P\'olya urn processes in more general contexts where fitness and nonlinearity may be present. ...
We give rigorous mathematical characterizations of the tail distributions of both duration and intensity under the various regimes for fitness and nonlinearity, which reveal very interesting behaviors. ...
ACKNOWLEDGEMENTS This work was supported in part by Army Research Office Contract W911NF-12-1-0385, and ARL Cooperative Agreement W911NF-09-2-0053. D. ...
arXiv:1604.02097v3
fatcat:t6yv2juy2zcspl4m4wsfjmmwly
On the Duration and Intensity of Competitions in Nonlinear Pólya Urn Processes with Fitness
2016
Performance Evaluation Review
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Our findings can shed light on the application of Pólya urn processes in more general contexts where fitness and nonlinearity may be present. ...
The oldest and arguably simplest mathematical model that embodies this general principle is the Pólya urn process, which finds applications in a myriad of problems. ...
ACKNOWLEDGEMENTS This work was supported in part by Army Research Office Contract W911NF-12-1-0385, and ARL Cooperative Agreement W911NF-09-2-0053. D. ...
doi:10.1145/2964791.2901475
fatcat:jd5bqbnpavhh5ernkttscwushu
On the Duration and Intensity of Competitions in Nonlinear Pólya Urn Processes with Fitness
2016
Proceedings of the 2016 ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Science - SIGMETRICS '16
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Our findings can shed light on the application of Pólya urn processes in more general contexts where fitness and nonlinearity may be present. ...
The oldest and arguably simplest mathematical model that embodies this general principle is the Pólya urn process, which finds applications in a myriad of problems. ...
ACKNOWLEDGEMENTS This work was supported in part by Army Research Office Contract W911NF-12-1-0385, and ARL Cooperative Agreement W911NF-09-2-0053. D. ...
doi:10.1145/2896377.2901475
dblp:conf/sigmetrics/JiangFRT16
fatcat:j34vacit3ndqjar6jbmpqzoqae
On the duration and intensity of cumulative advantage competitions
2015
Journal of Statistical Mechanics: Theory and Experiment
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The role of skill (fitness) and luck (randomness) as driving forces on the dynamics of resource accumulation in a myriad of systems have long puzzled scientists. ...
When such competitions are driven by externalities such as cumulative advantage (CA), the rich-get-richer effect, little is known with respect to fundamental properties such as their duration and intensity ...
A natural problem here is to characterize the duration and intensity of nonlinear CA competitions, where the interaction between CA and fitness becomes more complicated. ...
doi:10.1088/1742-5468/2015/11/p11022
fatcat:b2v5p4enlrfgtf2mhoxbjarxia
Social Learning and Diffusion of Pervasive Goods: An Empirical Study of an African App Store
[article]
2017
arXiv
pre-print
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In this study, the authors develop a structural model that combines a macro diffusion model with a micro choice model to control for the effect of social influence on the mobile app choices of customers ...
Using a large data set from an African app store and Bayesian estimation methods, the authors quantify the effect of social influence and investigate the impact of ignoring this process in estimating customer ...
The Polya Urn process also has the same structure. In this process, the experimenter begins by drawing balls with different colors from the urn. ...
arXiv:1702.06661v1
fatcat:eix6hfbll5dhpg2jofttrcevxy
Causes and consequences of hysteresis: aggregate demand, productivity, and employment
2018
Industrial and Corporate Change
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Building upon the "Schumpeter meeting Keynes" family of models (cf. in particular Dosi et al. (2016b Dosi et al. ( , 2017c ), we specify an endogenous process of accumulation of workers' skills and a state-dependent ...
process of firms entry. ...
Acknowledgements The authors thank the Guest Editors of the Special Section; two anonymous referees, Engelbert Stockhammer and Federico Tamagni; and ...
doi:10.1093/icc/dty010
fatcat:o2pc7ljjpras7ddl7aghv3d2ea
Blockbuster or Niche? Competitive Strategy Under Network Effects
2017
Social Science Research Network
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However, product variety and quality investments, as an outcome of firms' ex-ante competitive decisions, may increase or decrease, as the network effect grows. ...
In this sense, the (positive) network effect seemingly can also contribute to the phenomenon of long and flat tail. ...
It is noted that d(t) is what is referred to as nonlinear Pólya urn process and x(t) is a corresponding discrete stochastic process. ...
doi:10.2139/ssrn.3049370
fatcat:wdtlys7jcnhqjbwh4ifrwd7pk4
The economics of path-dependence in industrial organization
1997
International Journal of Industrial Organization
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environment; hence it provides a framework to understand and to model the effects of historic time on the behaviour of agents which are able at each point in time to modify their evolution. © 1997 Elsevier ...
It makes it possible to allow both for the effects of past behaviour of agents on the structure of the environment and the Lamarckian survival of agents by learning and adaptation to the character of the ...
Acknowledgments The comments of Paul A. David, Ian Steedman, Stan Metcalfe, Robin Cowan, Mario Calderini, Franco Malerba, Dominique Foray, Steven Martin and Dennis ...
doi:10.1016/s0167-7187(97)00006-4
fatcat:bsja4wb4bvfhhbq4nksbz25ode
Social Big Data Analytics of Consumer Choices: A Two Sided Online Platform Perspective
[article]
2017
arXiv
pre-print
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Using a large data set from eBay and empirical Bayesian estimation method, I quantify the bidders' anticipation of regret in various product categories, and investigate the role of experience in explaining ...
The second essay investigates bidders' anticipated winner and loser regret in the context of the eBay online auction platform. ...
The Polya Urn process has also the same structure. In this process, the experimenter starts by drawing balls with different colors from the urn. ...
arXiv:1702.07074v1
fatcat:suq27p5v6ree5mdlzqzm5lvhpq
On Fitting Finite Dirichlet Mixture Using ECM and MML
[chapter]
2005
Lecture Notes in Computer Science
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We study a fluid system with single on/off source in which the active (on) and silent periods (off) follow General and Exponential distributions respectively. ...
Fluid queue models play a vital role in the performance analysis of computer and telecommunication networks. ...
In particular, by means of known and newly defined generalised Polya urn schemes, several types of pure jump particle processes are introduced, describing the evolution in time of an exchangeable population ...
doi:10.1007/11551188_19
fatcat:gtzi5u6emvfyxea3zbklobnvom
Diffusion of technologies and social behavior
1992
Long range planning
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These are very timely questions in view of the encouraging process I A smaller selection of conference papers entitled "From Democracy to Chain Saws: New Perspectives on Innovation Diffusion" is to be ...
We would like to extend particular thanks to the conference co-organizers Storen Wibe (University of Umea) who actively participated in shaping the event and aided in obtaining financial support for the ...
Herzog of the Ohio Department of Health for his encouragement, and for providing the data on which the analyses in this chapter are based. Comments and criticisms by Drs. L.A. Brown, S.A. Foster, W. ...
doi:10.1016/0024-6301(92)90221-m
fatcat:id6e46ez5zbzhorfmwbxaj5gku
Multiscale Structure in Eco-Evolutionary Dynamics
[article]
2015
arXiv
pre-print
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Evolutionary game theory reveals the novel effects which can result from multiplayer games, nonlinear payoffs and ecological stochasticity. ...
Replicator dynamics in an environment with mesoscale structure relates to generalized conditionalization rules in probability theory. ...
This is the Pólya urn model [221, 222] , and in this case, if we begin with R red balls and G green balls, p(E m ) = N ! m!(N − m)! (m + R − 1)!(N − m + G − 1)! (N + R + G − 1)! (R + G − 1)! (R − 1)! ...
arXiv:1509.02958v1
fatcat:pr2t7t3fxbej7asibkvjgareja
Augmented CycleGANs for Continuous Scale Normal-to-Lombard Speaking Style Conversion
2019
Interspeech 2019
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; Pitman, 1995; Pitman et al., 2002) or Pólya urn scheme (Hoppe, 1984) ). ...
Overall, the thesis work has shown that state-of-the-art ML models can be used to tackle a variety of speech processing problems with a competitive performance when focusing on suprasegmental signal structures ...
doi:10.21437/interspeech.2019-1681
dblp:conf/interspeech/SeshadriJAR19
fatcat:tfobvlkjv5dvdeaxvzby3mb2y4
Vol. 6, No. 2 (Full Issue)
2007
Journal of Modern Applied Statistical Methods
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Five data sets with known true values are used to determine the optimal number of pairs that should be trimmed in order to produce the minimum relative error. ...
The optimal trimming in the five data sets is found to be 1%, 5%, 7%, 10% and 28%. The 28% rate is shown to be an outlier among the five data sets. ...
Acknowledgements The authors wish to thank Paula Smith for manuscript editing and formatting assistance. Moye for helpful comments in a previous version of this manuscript. ...
doi:10.22237/jmasm/1193891520
fatcat:7pu36m2b6zaohnrycwzo3jq35q
Bibliography
[chapter]
Economic Development in Early Modern France
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Margolis (1995), along with the latter's interpretation of 'lock-in' and 'accidents of history' are shown at best to be of limited usefulness in the study historical phenomena, and misleading as to the ...
history of the process itself. ...
Such migrations cannot occur under the Polya process, because as more and more balls are added to the urn, the effect of each increment upon the distribution of colors must become weaker and weaker. ...
doi:10.1017/cbo9781107110076.009
fatcat:ekox33stnnazvhcvccwt6jbhje
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