Relevant bibliographies by topics / Uniqueness of equilibrium

Academic literature on the topic 'Uniqueness of equilibrium'

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Published: 10 March 2023

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Journal articles on the topic "Uniqueness of equilibrium"

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Yu, Jian, Dingtao Peng, and Shuwen Xiang. "Generic uniqueness of equilibrium points." Nonlinear Analysis: Theory, Methods & Applications 74, no. 17 (December 2011): 6326–32. http://dx.doi.org/10.1016/j.na.2011.06.011.

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Loi, Andrea, and Stefano Matta. "Curvature and uniqueness of equilibrium." Journal of Mathematical Economics 74 (January 2018): 62–67. http://dx.doi.org/10.1016/j.jmateco.2017.11.002.

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Solan, Eilon, and Nicolas Vieille. "Equilibrium uniqueness with perfect complements." Economic Theory 28, no. 3 (August 2006): 721–26. http://dx.doi.org/10.1007/s00199-005-0645-2.

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BAUER, CHRISTIAN. "SOLUTION UNIQUENESS IN A CLASS OF CURRENCY CRISIS GAMES." International Game Theory Review 07, no. 04 (December 2005): 531–43. http://dx.doi.org/10.1142/s0219198905000697.

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A common feature of many speculative attack models on currencies is the existence of multiple equilibrium solutions. When choosing the equilibrium strategy, a trader faces Knightian uncertainty about the rational choice of the other traders. We show that the concept of Choquet expected utility maximization under Knightian uncertainty leads to unique equilibria. In games of incomplete information the optimal strategy maximizes the expected utility with respect to a two-dimensional information: environment and rationality. We define a new concept of equilibria, the Choquet-expected-Nash-equilibria, which allows the analysis of decisions under uncertainty, which result in multiple equilibria in standard analysis. We provide uniqueness theorems for a wide class of incomplete information games including global games and apply them to fairly general currency attack models. The uniqueness of the equilibrium remains valid for arbitrary noise distributions, positively correlated signals, the existence of large traders, individual payoff functions, and for the case that non attacking traders suffer a loss in case of a successful attack, as is the case for investors in the attacked country.
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Aase, Knut K. "Equilibrium in a Reinsurance Syndicate; Existence, Uniqueness and Characterization." ASTIN Bulletin 23, no. 2 (November 1993): 185–211. http://dx.doi.org/10.2143/ast.23.2.2005091.

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AbstractThis paper attempts to give an overview of the pricing of risks in a pure exchange economy, where trade takes place at time zero and where uncertainty is revealed at time one. An economic equilibrium model under uncertainty is formulated, where conditions characterizing a Pareto optimal exchange equilibrium are derived. We present two sets of sufficient conditions for the existence of an equilibrium, and demonstrate how equilibria can be characterized through several examples. Uniqueness of equilibrium is also discussed. Special attention is given to the principal components that the premiums in a reinsurance market must depend upon. We also apply the general theory to the risk exchange problem between a policyholder and an insurer, and in particular we compute market premiums of the resulting optimal contracts.It is emphasized throughout how the formulation of a competitive equilibrium, rather than merely a general risk exchange formulation, is of particular interest in deriving a well-defined and unique set of equilibrium premiums in an insurance market. The theory is put into a framework which is fruitful for extensions beyond the one-period case.
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Putra, Roni Tri. "Analisis Eksistensi dan Ketunggalan Solusi Model Epidemi SEIR." Jurnal Ilmiah Poli Rekayasa 10, no. 1 (October 15, 2014): 65. http://dx.doi.org/10.30630/jipr.10.1.58.

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In this paper, it will be studied existence and uniqueness solution of equilibrium points for a SEIR model with infectious force in latent, infected and immune period. From the model it will be found investigated the existence and uniqueness solution of points its equilibrium. Existence solution of points equilibrium proved by show its differential equations system of equilibrium continue, and uniqueness solution of points equilibrium proved by show its differential equation system of equilibrium differentiable continue.
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von Mouche, P., and F. Quartieri. "Cournot equilibrium uniqueness via demi-concavity." Optimization 67, no. 4 (December 10, 2017): 441–55. http://dx.doi.org/10.1080/02331934.2017.1405954.

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Hirata, Daisuke, and Toshihiro Matsumura. "On the uniqueness of Bertrand equilibrium." Operations Research Letters 38, no. 6 (November 2010): 533–35. http://dx.doi.org/10.1016/j.orl.2010.08.010.

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Mukherji, Anjan. "On the uniqueness of competitive equilibrium." Economic Theory 10, no. 3 (September 17, 1997): 509–20. http://dx.doi.org/10.1007/s001990050170.

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Kantorovich, Ye G. "Equilibrium Models of Spatial Interaction with Locational-Capacity Constraints." Environment and Planning A: Economy and Space 24, no. 8 (August 1992): 1077–95. http://dx.doi.org/10.1068/a241077.

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Two types of equilibrium models of urban spatial structures are considered. An equilibrium version of the production-constrained spatial interaction model involving zonal-capacity constraints on allocation is investigated. A model of equilibrium for interacting subsystems is defined (it is a generalisation of Nash equilibria and of some Lowry-type models) and connections between this model and Nash equilibria are investigated. An entropy-projection operator is used for equilibrium urban models with zonal-capacity constraints. Problems of uniqueness of an equilibrium and the convergence of the iterative computational process are studied for these models.
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Dissertations / Theses on the topic "Uniqueness of equilibrium"

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Accinelli, Elvio. "Uniqueness of equilibrium in productive economies." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/95022.

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In this paper we discuss the uniqueness of equilibria in productive economies, and we show that the source of the multiplicity of equilibria lies in the consumption set. This result is well know in the literature, our only object in this work is to show a resume of this theme for the discussion in our seminar.
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Pilgrim, Beate. "Understanding financial markets from a general equilibrium perspective uniqueness of competitive equilibria /." [S.l. : s.n.], 2001. http://deposit.ddb.de/cgi-bin/dokserv?idn=962998176.

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Putan, Diana [Verfasser]. "Uniqueness of equilibrium states in some models of interacting particle systems / Diana Putan." Bielefeld : Universitätsbibliothek Bielefeld, 2014. http://d-nb.info/1057957062/34.

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Kuennen, Nicholas Francis. "Existence and uniqueness of Cournot equilibrium for an oligopoly under linear and nonlinear demand a channel model for one manufacturer-two retailers with substitutes /." [Ames, Iowa : Iowa State University], 2007.

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Holmberg, Pär. "Modelling Bidding Behaviour in Electricity Auctions : Supply Function Equilibria with Uncertain Demand and Capacity Constraints." Doctoral thesis, Uppsala University, Department of Economics, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-5882.

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In most electricity markets, producers submit supply functions to a procurement uniform-price auction under uncertainty before demand has been realized. In the Supply Function Equilibrium (SFE), every producer commits to the supply function that maximises his expected profit given the bids of competitors.

The presence of multiple equilibria is a basic weakness of the SFE framework. Essay I shows that with (i) symmetric producers, (ii) perfectly inelastic demand, (iii) a reservation price (price cap), and (iv) capacity constraints that bind with a positive probability, a unique symmetric SFE exists. The equilibrium price reaches the price cap exactly when capacity constraints bind.

Another weakness is difficulty finding a valid asymmetric SFE with non-decreasing supply functions. Essay II shows that for firms with asymmetric capacity constraints but identical constant marginal costs there exists a unique and valid SFE. Equilibrium supply functions exhibit kinks as well as vertical and horizontal segments. The price at which the capacity constraint of a firm binds is increasing in the firm’s share of market capacity. The capacity constraint of the second largest firm binds when the market price reaches the price cap. Thereafter, the largest firm supplies its remaining capacity with a perfectly elastic segment at the price cap. Essay III presents a numerical algorithm that calculates a similar SFE for asymmetric firms with increasing marginal costs.

Essay IV derives the SFE of a pay-as-bid auction such as the balancing market for electric power in Britain. A unique SFE always exists if the demand’s hazard rate is monotonically decreasing, as for a Pareto distribution of the second kind. Assuming this probability distribution, the pay-as-bid procurement auction is compared to the SFE of a uniform-price procurement auction. Two theorems in Essay V prove that the demand-weighted average price is (weakly) lower in the pay-as-bid procurement auction.

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Ji, Haixia. "Uniqueness of Equilibria for Complex Chemical Reaction Networks." The Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1307122057.

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Hoffmann, Franca Karoline Olga. "Keller-Segel-type models and kinetic equations for interacting particles : long-time asymptotic analysis." Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/269646.

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This thesis consists of three parts: The first and second parts focus on long-time asymptotics of macroscopic and kinetic models respectively, while in the third part we connect these regimes using different scaling approaches. (1) Keller–Segel-type aggregation-diffusion equations: We study a Keller–Segel-type model with non-linear power-law diffusion and non-local particle interaction: Does the system admit equilibria? If yes, are they unique? Which solutions converge to them? Can we determine an explicit rate of convergence? To answer these questions, we make use of the special gradient flow structure of the equation and its associated free energy functional for which the overall convexity properties are not known. Special cases of this family of models have been investigated in previous works, and this part of the thesis represents a contribution towards a complete characterisation of the asymptotic behaviour of solutions. (2) Hypocoercivity techniques for a fibre lay-down model: We show existence and uniqueness of a stationary state for a kinetic Fokker-Planck equation modelling the fibre lay-down process in non-woven textile production. Further, we prove convergence to equilibrium with an explicit rate. This part of the thesis is an extension of previous work which considered the case of a stationary conveyor belt. Adding the movement of the belt, the global equilibrium state is not known explicitly and a more general hypocoercivity estimate is needed. Although we focus here on a particular application, this approach can be used for any equation with a similar structure as long as it can be understood as a certain perturbation of a system for which the global Gibbs state is known. (3) Scaling approaches for collective animal behaviour models: We study the multi-scale aspects of self-organised biological aggregations using various scaling techniques. Not many previous studies investigate how the dynamics of the initial models are preserved via these scalings. Firstly, we consider two scaling approaches (parabolic and grazing collision limits) that can be used to reduce a class of non-local kinetic 1D and 2D models to simpler models existing in the literature. Secondly, we investigate how some of the kinetic spatio-temporal patterns are preserved via these scalings using asymptotic preserving numerical methods.
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"Insider trading and market manipulations--existence and uniqueness of equilibrium." Sloan School of Management, Massachusetts Institute of Technology, 1991. http://hdl.handle.net/1721.1/2366.

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Pilgrim, Beate [Verfasser]. "Understanding financial markets from a general equilibrium perspective : uniqueness of competitive equilibria / vorgelegt von Beate Pilgrim." 2001. http://d-nb.info/962998176/34.

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Quartieri, Federico. "Necessary and sufficient conditions for the existence of a unique Cournot equilibrium." Doctoral thesis, 2008. http://hdl.handle.net/2158/1126946.

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The problem of necessary and sufficient conditions for the existence of a unique Cournot equilibrium has been rarely dealt with in the literature, To date there exists virtually only the formulation of the problem given by Kolstad and Mathiesen (1987). Yet several aspects of their approach are debatable. Here, a new formulation is proposed which considers sets of oligopolies rather than single oligopolies. This allows to obtain a new result which brings out the necessity of some important conditions assumed in Kolstad and Mathiesen and often employed to prove the existence of a Cournot equilibrium.
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Books on the topic "Uniqueness of equilibrium"

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Kolstad, Charles D. Necessary and sufficient conditions for uniqueness of a Cournot equilibrium. Cambridge, Mass: Sloan School of Management, Massachusetts Institute of Technology, 1986.

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Collie, David. International trade and cournot equilibrium: Existence, uniqueness and comparative statics. Coventry: Universityof Warwick Department of Economics, 1990.

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Kolstad, Charles D. A constructive proof of a theorem on the uniqueness of a Cournot equilibrium. [Urbana, Ill.]: College of Commerce and Business Administration, University of Illinois at Urbana-Champaign, 1988.

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Tokunaga, Suminori. Landownership and residential land use in urban economies: Existence and uniqueness of the equilibrium. Tokyo: Springer, 1996.

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Courtenay, Roger A. The non-uniqueness of informational equilibria in seasoned-equity markets. Coventry: University of Warwick. Warwick Business School Research Bureau, 1997.

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Courtenay, Roger A. The non-uniqueness of informational equilibria in seasoned-equity markets. Coventry: University of Warwick. Warwick Business School Research Bureau, 1997.

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Landownership and Residential Land Use in Urban Economies: Existence and Uniqueness of the Equilibrium. Springer, 2012.

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Tokunaga, Suminori. Landownership and Residential Land Use in Urban Economies: Existence and Uniqueness of the Equilibrium. Springer London, Limited, 2012.

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Book chapters on the topic "Uniqueness of equilibrium"

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Allingham, Michael. "Uniqueness of Equilibrium." In General Equilibrium, 324–27. London: Palgrave Macmillan UK, 1989. http://dx.doi.org/10.1007/978-1-349-19802-3_36.

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Allingham, Michael. "Uniqueness of Equilibrium." In The New Palgrave Dictionary of Economics, 1–3. London: Palgrave Macmillan UK, 1987. http://dx.doi.org/10.1057/978-1-349-95121-5_1760-1.

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Allingham, Michael. "Uniqueness of Equilibrium." In The New Palgrave Dictionary of Economics, 14058–61. London: Palgrave Macmillan UK, 2018. http://dx.doi.org/10.1057/978-1-349-95189-5_1760.

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Hens, Thorsten, and Beate Pilgrim. "Uniqueness of Equilibria in the CAPM." In General Equilibrium Foundations of Finance, 259–70. Boston, MA: Springer US, 2002. http://dx.doi.org/10.1007/978-1-4757-5317-2_10.

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Hens, Thorsten, and Beate Pilgrim. "Uniqueness of Competitive Equilibria in the Arrow-Debreu Model." In General Equilibrium Foundations of Finance, 79–100. Boston, MA: Springer US, 2002. http://dx.doi.org/10.1007/978-1-4757-5317-2_5.

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Hens, Thorsten, and Beate Pilgrim. "Uniqueness of Competitive Equilibria in the Finance GEI-Model." In General Equilibrium Foundations of Finance, 101–211. Boston, MA: Springer US, 2002. http://dx.doi.org/10.1007/978-1-4757-5317-2_6.

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Jensen, Martin Kaae. "Existence, Uniqueness, and Comparative Statics in Contests." In Equilibrium Theory for Cournot Oligopolies and Related Games, 233–44. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-29254-0_14.

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Knops, R. J., and C. A. Stuart. "Quasiconvexity and Uniqueness of Equilibrium Solutions in Nonlinear Elasticity." In The Breadth and Depth of Continuum Mechanics, 473–89. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-61634-1_21.

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Okuguchi, Koji, and Ferenc Szidarovszky. "Existence and Uniqueness of Equilibrium in Labor-Managed Cournot Oligopoly." In Firms’ Objectives and Internal Organisation in a Global Economy, 9–16. London: Palgrave Macmillan UK, 2009. http://dx.doi.org/10.1057/9780230274334_1.

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Cornes, Richard, and Takashi Sato. "Existence and Uniqueness of Nash Equilibrium in Aggregative Games: An Expository Treatment." In Equilibrium Theory for Cournot Oligopolies and Related Games, 47–61. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-29254-0_5.

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Conference papers on the topic "Uniqueness of equilibrium"

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Zhao Tongjuan and Wang Jinran. "Uniqueness and stability analysis of equilibrium with delayed cellular neural networks." In 2012 International Conference on Measurement, Information and Control (MIC). IEEE, 2012. http://dx.doi.org/10.1109/mic.2012.6273256.

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Alexander, Kotyukov, and Pavlova Nataliya. "Stability and Non-Uniqueness of Equilibrium in an Open Market Model." In 2022 15th International Conference Management of large-scale system development (MLSD). IEEE, 2022. http://dx.doi.org/10.1109/mlsd55143.2022.9934726.

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Dong, Cao, and Wang Yaozhong. "Existence and Uniqueness of Monetary Steady-State Equilibrium in a Three-Sector OLG Economy." In 2009 Second International Conference on Intelligent Computation Technology and Automation. IEEE, 2009. http://dx.doi.org/10.1109/icicta.2009.789.

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Zeng, Hairong, Qiong Wu, and Nariman Sepehri. "On Control of a Two-Link Non-Fixed-Base Inverted Pendulum With Guaranteed Uniqueness." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-61239.

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A nonlinear controller with guaranteed uniqueness of Filippov’s solution is presented for controlling a two-link non-fixed-base inverted pendulum. The control system is described by differential equations with discontinuous right-hand sides, which violates the requirements of the conventional solution theories to ordinary differential equations, i.e., the vector fields must be at least Lipschitz continuous. It has been shown that Lyapunov’s second method can be used for such non-smooth systems directly under the condition of existence and uniqueness of Filippov’s solution. For this non-smooth control system with three discontinuity surfaces, the uniqueness of the solution is studied using Filippov’s solution concept. The system itself is a nonlinear, non-autonomous dynamic system without an isolated equilibrium point, which violates the assumption of Lyapunov’s stability theory. To analyze the stability of the control system, a Lyapunov-like function is constructed, which satisfies all the requirements for a Lyapunov function. Such a function can serve as an upper bound of the region in which the pendulum can be stabilized. Simulation results are presented to validate the proposed approach.
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Wang, Xiong, and Riheng Jia. "Mean Field Equilibrium in Multi-Armed Bandit Game with Continuous Reward." In Thirtieth International Joint Conference on Artificial Intelligence {IJCAI-21}. California: International Joint Conferences on Artificial Intelligence Organization, 2021. http://dx.doi.org/10.24963/ijcai.2021/429.

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Mean field game facilitates analyzing multi-armed bandit (MAB) for a large number of agents by approximating their interactions with an average effect. Existing mean field models for multi-agent MAB mostly assume a binary reward function, which leads to tractable analysis but is usually not applicable in practical scenarios. In this paper, we study the mean field bandit game with a continuous reward function. Specifically, we focus on deriving the existence and uniqueness of mean field equilibrium (MFE), thereby guaranteeing the asymptotic stability of the multi-agent system. To accommodate the continuous reward function, we encode the learned reward into an agent state, which is in turn mapped to its stochastic arm playing policy and updated using realized observations. We show that the state evolution is upper semi-continuous, based on which the existence of MFE is obtained. As the Markov analysis is mainly for the case of discrete state, we transform the stochastic continuous state evolution into a deterministic ordinary differential equation (ODE). On this basis, we can characterize a contraction mapping for the ODE to ensure a unique MFE for the bandit game. Extensive evaluations validate our MFE characterization, and exhibit tight empirical regret of the MAB problem.
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Sin, Emmanuel, He Yin, and Murat Arcak. "Passivity-Based Distributed Acquisition and Station-Keeping Control of a Satellite Constellation in Areostationary Orbit." In ASME 2020 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/dscc2020-3136.

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Abstract We present a distributed control law to assemble a cluster of satellites into an equally-spaced, planar constellation in a desired circular orbit about a planet. We assume each satellite only uses local information, transmitted through communication links with neighboring satellites. The same control law is used to maintain relative angular positions in the presence of disturbance forces. The stability of the constellation in the desired orbit is proved using a compositional approach. We first show the existence and uniqueness of an equilibrium of the interconnected system. We then certify each satellite and communication link is equilibrium-independent passive with respective storage functions. By leveraging the skew symmetric coupling structure of the constellation and the equilibrium-independent passivity property of each subsystem, we show that the equilibrium of the interconnected system is stable with a Lyapunov function composed of the individual subsystem storage functions. We further prove that the angular velocity of each satellite converges to the desired value necessary to maintain circular, areostationary orbit. Finally, we present simulation results to demonstrate the efficacy of the proposed control law in acquisition and station-keeping of an equally-spaced satellite constellation in areostationary orbit despite the presence of unmodeled disturbance forces.
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Mu, Xiaojie, and Daqing Jiang. "Periodic Solution of a Stochastic Microorganism Flocculation Model with Distributed Delay." In SPE/IATMI Asia Pacific Oil & Gas Conference and Exhibition. SPE, 2021. http://dx.doi.org/10.2118/205821-ms.

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Abstract In this paper, a nonautonomous delay differential equation of microorganism flocculation is established by considering the influence of external conditions such as seasonal alternation and ocean current movement on the ecological function of microorganism population. At the same time, the dynamic change characteristics of microorganism population in oil spill environment were simulated, and on this basis, the effects of diurnal change and climate change on the parameters of microorganism system were analyzed. From a mathematical point of view, the stochastic microorganism flocculation model exists a T-positive periodic solution. The existence and uniqueness of globally positive equilibrium of the exploited model is studied. Finally, some numerical examples illustrate the results.
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Karlson, Kyle N., and Michael J. Leamy. "Three-Dimensional Equilibria and Stability of Nonlinear Curved Beams Using Intrinsic Equations and Shooting." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70428.

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This article describes a shooting method that provides numerical solutions to static equilibrium equations for intrinsically curved beams in three-dimensions. Notably, the method avoids iteration for cantilever beams subjected to distributed or point follower loads. This is due to the governing equations being given in first-order form such that the specification of a single boundary condition on the forced end results in automatic satisfaction of the fixed boundary condition. Also documented is a general procedure for finding all solutions to static beam problems with conservative loading. This is particularly useful in beam buckling problems where multiple stable and unstable solutions exist. The procedure for finding all solutions is built around the Picard-Lindelöf theorem on the uniqueness and existence of solutions to initial value problems. Using the presented approach, three-dimensional equilibrium solutions are generated for many loading cases and boundary conditions, including a three-dimensional helical beam, and are compared to similar solutions available in the literature. The stability of the generated solutions is assessed using a dynamic finite element code based on the same intrinsic beam equations. Due to the absent need for iteration, the presented approach may find application in model-based control for practical problems such as the control of equipment utilized in endoscopic surgeries and the control of spacecraft with robotic arms and long cables.
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Li, Deying, Yanping Song, Yunfeng Fu, Huanlong Chen, and Hiroharu Ooyama. "Numerical Investigation of Equilibrium Wet Steam Flow Property Based on S2 Calculation Code." In ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/gt2014-25750.

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Though it is non-equilibrium wet steam flow in steam turbine, the droplets with micron dimension are usually not considered in the primary design of the steam turbine in the industrial application because the global properties of steam are concerned mostly. Two calculation models of equilibrium wet steam property are proposed and applied to the performance prediction of a one stage low pressure (LP) steam turbine with superheated vapor and a 1.5-stage LP steam turbine with superheated and saturation steam by the using of the central S2 stream surface calculation code developed in this paper. Different from the ordinary S2 stream surface calculation code, the three-dimensional Euler equations are adopted to count the influence of the cascade spatial structure on the flow field parameters in this S2 calculation method. The non-conservative variables are used to avoid the non-uniqueness of density. The implicit time marching method and the upwind-diagonal implicit approximate factored format are applied to improve the calculation stability. The high-order TVD scheme is applied to increase the calculation accuracy. The Riemann problem is utilized to solve the discontinuity of variables transition at grid interface. Two models of wet steam property computation are developed to adapt the numerical calculation in this paper. The first one is the “Ideal Steam” model, using the ideal gas properties formulations to calculate the steam parameters with the given cp(T)-T relationship obtained from the evaluated enthalpy-entropy curve and the IAPWS-IF97 formula. The second one is the “IF97 Table” model, calculating the steam properties with the inerratic multi-variables combination tables generated by the IAPWS-IF97 formulations and the fast interpolation method. Furthermore, both the models are added to the S2 calculation code to predict the performance of the steam turbine respectively. The results show that the S2 code developed in this paper can predict the performance of steam turbine with high precision. The results of the one stage LP steam turbine imply that the two models are almost the same and are similar to the 3D results, indicating that both the models can be applied to the superheated vapor flow with high precision. Compared to the full 3D results, the error of the mass flow rate and efficiency with the “IF97 Table” model is 0.83% and 0.46% respectively, indicating a higher accuracy than the “Ideal Gas” model with 1.00% and 1.54%. The distribution of primary parameters shows that both the steam calculation models are well applied to the aerodynamic performance prediction. The distribution of temperature and moisture imply that the “IF97 Table” model can predict the aerodynamic parameters better than the “Ideal Gas” model. The S2 calculation method with the “IF97 Table” method or the “Ideal Gas” saves most of the time compared to the full 3D calculation, supplying an effective and fast calculation method in the primary design and the performance prediction of steam turbine.
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Svanadze, Merab. "Boundary Value Problems in the Theory of Thermoelasticity for Triple Porosity Materials." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-65046.

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This paper concerns with the quasi static linear theory of thermoelasticity for triple porosity materials. The system of governing equations based on the equilibrium equations, conservation of fluid mass, the constitutive equations, Darcy’s law for materials with triple porosity and Fourier’s law of heat conduction. The cross-coupled terms are included in the equations of conservation of mass for the fluids of the three levels of porosity (macro-, meso- and micropores) and in the Darcy’s law for materials with triple porosity. The system of general governing equations is expressed in terms of the displacement vector field, the pressures in the three pore systems and the temperature. The basic internal and external boundary value problems (BVPs) are formulated and on the basis of Green’s identities the uniqueness theorems for the regular (classical) solutions of the BVPs are proved. The surface (single-layer and double-layer) and volume potentials are constructed and their basic properties are established. Finally, the existence theorems for classical solutions of the BVPs are proved by means of the potential method and the theory of singular integral equations.
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Reports on the topic "Uniqueness of equilibrium"

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McCallum, Bennett. Causality, Structure, and the Uniqueness of Rational Expectations Equilibria. Cambridge, MA: National Bureau of Economic Research, August 2009. http://dx.doi.org/10.3386/w15234.

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