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An axiomatic approach to Markov decision problems [article]

Adam Jonsson
2020 arXiv   pre-print
The main results of the paper provide preference foundations for 0-discount optimality and average overtaking optimality in Markov decision problems with finitely many states and finitely many actions.  ...  Then the Cesàro sum of ∞ t=1 (u t − v i ) (i.e., Theorem and provide two sets of axioms that characterize AO on U F .  ...  Utilitarianism for infinite utility streams: A new welfare criterion and its axiomatic characterization. Journal of Economic Theory, ( ): -, . [ ] Christopher J. Bishop, Eugene A.  ... 
arXiv:1701.02879v5 fatcat:lwgokni4x5ewfamduzqyyuesu4

Dynamic Cesaro-Wardrop equilibration in networks

V.S. Borkar, P.R. Kumar
2003 IEEE Transactions on Automatic Control  
We analyze a routing scheme for a broad class of networks which converges (in the Cesaro sense) with probability one to the set of approximate Cesaro-Wardrop equilibria, an extension of the notion of a  ...  The demonstration of convergence in a fully dynamic context involves the treatment of two-time scale distributed asynchronous stochastic iterations.  ...  Our notion of Cesaro-Wardrop equilibrium (introduced later) is a characterization of probability measures w.r.t. which the above is required to hold in an average sense and our goal will be to show that  ... 
doi:10.1109/tac.2003.809145 fatcat:w25x7fzx2je45l2b5jp4qpstqa

Page 239 of American Society of Mechanical Engineers. Transactions of the American Society of Mechanical Engineers Vol. 77, Issue 2 [page]

1955 American Society of Mechanical Engineers. Transactions of the American Society of Mechanical Engineers  
On this basis Delio, Schwent, and Cesaro (41) analyzed a variety of instrument lines.  ...  In the analysis they utilized the electrical analogy which is based essentially on the similarity between Equation [22] and that characterizing the behavior of an RC circuit (Fig. 13) d, . 1 — oe ae a  ... 

Page 1712 of Mathematical Reviews Vol. , Issue 92c [page]

1992 Mathematical Reviews  
If the utility function is concave, then the optimal path is unique and its nature may be characterized.  ...  Theorem 2: Given a probability space X, a nonsingular S:X — X with Frobenius- Perron operator P, under the assumption that there exists f: Pf = f then S is chaotic if and only if the Cesaro limit of P"  ... 

Page 2070 of Mathematical Reviews Vol. 48, Issue 6 [page]

1974 Mathematical Reviews  
A. 12025 On Cesaro function spaces. Tamkang J. Math. 4 (1973), 19-25. For a measurable function f on (0, 00), let o(f) be the averaging function x~1{,*f(t)dt whenever it makes sense.  ...  ., 1967; see MR 36 #4939], and letting « and f be the indices of X utilized by D. W. Boyd [Canad. J.  ... 

The limit of discounted utilitarianism

Adam Jonsson, Mark Voorneveld
2018 Theoretical Economics  
We also introduce a principle of compensation for postponements of utility streams and use it to characterize the LDU criterion on a restricted domain.  ...  We show that LDU meets the standard assumptions of efficiency, equity, and interpersonal comparability, but allows us to compare more pairs of utility streams than commonly used utilitarian criteria, including  ...  Theorem 1 shows that Strong Pareto, the Compensation Principle, and Additivity (a standard translation invariance axiom) characterize limitdiscounted utilitarianism on the set of pairs of utility streams  ... 
doi:10.3982/te1836 fatcat:4kxov6sn6fe4zepdmcjp4djr6m

The Limit of Discounted Utilitarianism

Adam L. Jonsson
2013 Social Science Research Network  
We also introduce a principle of compensation for postponements of utility streams and use it to characterize the LDU criterion on a restricted domain.  ...  We show that LDU meets the standard assumptions of efficiency, equity, and interpersonal comparability, but allows us to compare more pairs of utility streams than commonly used utilitarian criteria, including  ...  Theorem 1 shows that Strong Pareto, the Compensation Principle, and Additivity (a standard translation invariance axiom) characterize limitdiscounted utilitarianism on the set of pairs of utility streams  ... 
doi:10.2139/ssrn.2305317 fatcat:gqfmgx5cibedfn2b2tx52tt4ju

Fuzzy Statistical Limits [article]

Mark Burgin, Oktay Duman
2008 arXiv   pre-print
We find relations between fuzzy statistical convergence of a sequence and fuzzy statistical convergence of its subsequences (Theorem 2.1), as well as between fuzzy statistical convergence of a sequence  ...  The main idea of the statistical convergence of a sequence l is that the majority of elements from l converge and we do not care what is going on with other elements.  ...  Here a partial average of l is equal to µ n = (1/n) Σ i=1 n a i . Partial averages are also called Cesáro means. They are used to determine Cesáro summability in the theory of divergent series.  ... 
arXiv:0803.4019v1 fatcat:krgcljwrjrd4fiudk7gr3pg6be

The Asymptotic Behaviour of the Fourier Transforms of Orthogonal Polynomials II: L.I.F.S. Measures and Quantum Mechanics

Giorgio Mantica, Davide Guzzetti
2007 Annales de l'Institute Henri Poincare. Physique theorique  
In the following Sect. 8, we discuss how the same Mellin techniques can be applied to averaging procedures other than Cesaro, and as a by-product, we derive a Fourier series representation for the the  ...  We characterize the asymptotic behaviours of their discrete and continuous averages. Further related quantities are analyzed, and relevance of this analysis to quantum mechanics is briefly discussed.  ...  Proposition 5 5 When assumption 1 holds, and x < d 0 (µ), the Cesaro average in in the variable y of the Mellin transform G n (µ; x + iy) decays as o(t −a ), t being the range of Cesaro averaging, for  ... 
doi:10.1007/s00023-006-0309-1 fatcat:fj2llupqffcodg34ja42nw2haq

On the Conservation Law and the Performance Space of Single Server Systems

Leonidas Georgiadis, Ioannis Viniotis
1994 Operations Research  
For an M|G|1 system, we derive inequalities involving the Cesaro sums of waiting times, that further characterize the achievable performance region of the system.  ...  For these classes of policies, ergodicity is not known a priori and may not even exist. Therefore, the classical invariance relations, involving statistical averages do not hold.  ...  Acknowledgements The authors wish to thank the anonymous reviewers for their helpful comments, which considerably improved the presentation of this paper.  ... 
doi:10.1287/opre.42.2.372 fatcat:brtsaplk3rf6rdvu3qg2mn4nnq

Probe-Based Confocal Laser Endomicroscopy for Indeterminate Biliary Strictures: Refinement of the Image Interpretation Classification

Michel Kahaleh, Marc Giovannini, Priya Jamidar, S. Ian Gan, Paola Cesaro, Fabrice Caillol, Bernard Filoche, Kunal Karia, Ioana Smith, Monica Gaidhane, Adam Slivka
2015 Gastroenterology Research and Practice  
Specificity of pCLE using the Paris Classification for the characterization of indeterminate bile duct stricture was increased, without impacting the overall accuracy.  ...  Accurate diagnosis and clinical management of indeterminate biliary strictures are often a challenge.  ...  characterization of bile duct stricture.  ... 
doi:10.1155/2015/675210 pmid:25866506 pmcid:PMC4377502 fatcat:zdfe6vhoxjglpns3w4zpuyupmq

Learning Nash Equilibria in Congestion Games [article]

Walid Krichene, Benjamin Drighès, Alexandre M. Bayen
2014 arXiv   pre-print
We study the repeated congestion game, in which multiple populations of players share resources, and make, at each iteration, a decentralized decision on which resources to utilize.  ...  We investigate the following question: given a model of how individual players update their strategies, does the resulting dynamics of strategy profiles converge to the set of Nash equilibria of the one-shot  ...  This observation motivates a second characterization of Nash equilibria, in terms of the average loss. Definition 2 (Average loss).  ... 
arXiv:1408.0017v1 fatcat:woc3nfdijvg5rfwimbf3pm3b7i

Prediction of Prognosis and Survival of Patients with Gastric Cancer by Weighted Improved Random Forest Model

Cheng Xu, Jing Wang, TianLong Zheng, Yue Cao, Fan Ye
2021 Archives of Medical Science  
Among the 10 public datasets, the Random Forest weighted in accuracy has the best performance on 6 datasets, with an average increase of 1.44% in accuracy and an average increase of 1.2% in AUC.ConclusionsCompared  ...  In AUC, Macro-averaging increased by 2.32% and Micro-averaging increased by 0.51% on average.  ...  Acknowledgments P r e p r i n t Conflict of interest The authors declare no conflict of interest. P r e p r i n t  ... 
doi:10.5114/aoms/135594 fatcat:g5m7norxbvfd7fuwuvx3oqyvkm

Online Learning of Nash Equilibria in Congestion Games

Walid Krichene, Benjamin Drighès, Alexandre M. Bayen
2015 SIAM Journal of Control and Optimization  
We show that the resulting sequence of strategy profiles converges to the set of Nash equilibria in the sense of Cesàro means.  ...  We study the repeated, nonatomic congestion game, in which multiple populations of players share resources and make, at each iteration, a decentralized decision on which resources to utilize.  ...  For any r ∈ R, the resource load is defined to be the total mass of players utilizing r (2.2) φ r (a) = K k=1 p∈P k :r∈p f k p (a).  ... 
doi:10.1137/140980685 fatcat:hyrprv6pvzal5a4emfyycyzcou

Instability statistics and mixing rates

Roberto Artuso, Cesar Manchein
2009 Physical Review E  
quantitative estimates of polynomial decay rates of time correlations and Poincaré recurrences in the -quite delicate- case of dynamical systems with weak chaotic properties.  ...  We claim that looking at probability distributions of finite time largest Lyapunov exponents, and more precisely studying their large deviation properties, yields an extremely powerful technique to get  ...  ACKNOWLEDGMENTS One of the authors ͑C.M.͒ gratefully acknowledges CNPq Brazil for support and the Center for Nonlinear and Complex Systems in Como for hospitality. We thank Marcus W.  ... 
doi:10.1103/physreve.80.036210 pmid:19905203 fatcat:m5a36s34gvfrhagepudipjl634
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