Linear Aggregation Of Information In Hierarchical Games

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Aspects of Networking in Multiplayer Computer Games

supportable by one server demonstrates that sublinear capacity requirement is needed. The hierarchical system best supports this, although a little space could have been devoted to discussing why this is true. The authors suggest using interest management, as well as compression and aggregation techniques to achieve this sub-linear requirement.

Iterative bidding in electricity markets: rationality and

generators to share information with the intent of tricking the system to obtain a higher payoff. 1 INTRODUCTION As part of the plan to integrate distributed energy resources (DERs) into the electricity grid, regulating authorities envision a hierarchical architecture where, at the lower layer, different sets of DERs coordinate

Personnel selection using group fuzzy AHP and SAW methods

select televised sportscasters for Olympic Games. Dağdeviren (2010) employed ANP and modified TOPSIS to select personnel. Dursun and Karsak (2010) used the principles of fuzzy information fusion, 2-tuple linguistic representation model, and

Ancillary Service to the Grid - University of Florida

(linear time-invariant) system approximation of the aggregate nonlinear model, which is possible through application of results from [12]. The scalar input in this linear model is a parameter that appears in the MDP cost function. The LTI approximation is convenient for control design at the grid level: the input becomes the control signal that


2. Hierarchical Aggregation of Linear Systems This section is a brief overview of the results in [1]. For a complete proof of the main theorem, as well as precise mathematical statements, the reader is referred to 1l]. We begin by postulating a dynamic model which describes the entire evolution of the system when no decisions are applied. We

Data Science in Supply Chain Management: Data-Related

supply chain data science. First, a hierarchical linear model is used to empirically investigate the conflicting observation of the magnitude and prevalence of demand distortion in supply chains. Results corroborate with the theoretical literature and find that data aggregation obscure the true

BDSS IGERT Speed Dating/Matchmaking Event

- Statistical Models: linear regression, GLM, HLM, fixed and random effects, spatial econometrics - Computing: Stata, R, Python, SQL - Mapping: ArcGIS, CartoDB Broad Interests - global migration patterns - assimilation - population processes

Chapter 1

to a form of hierarchical optimization (Sethi and Zhang (1994), Phillips and Kokotovic (1981)). The paper is organized as follows. In Section 1.2 we introduce the dynamic model. Section 1.3 gives preliminary results on linear track-ing. Section 1.4 contains the individual and mass behaviour analysis via a state aggregation procedure.

Semantic Scholar

includingthedominatingplayer,hisdelayplaysasahiddenrandomvariablecomingfromacommon an optimal solution that can serve as an lution for markets with leader and


Linear Activity Model Without Joint Production. Correspondent: K. Pod czeck, Department of Economics, University of Vienna, Dr. Karl Lueger Ring 1, A-1010 Vienna, AUSTRIA 17. A. Rustichini, Second Best Equilibria for Games of Joint Exploitation of a Productive Asset. Correspondent: A. Rustichini, Department of Eco

Optimal control of network-coupled subsystems: Spectral

and local information. For some particular cases, the control can be implemented in a distributed manner that relies on neighbourhood information and local information. The main contributions of our paper are the following: A spectral decomposition technique is devoloped to decomposes the linear quadratic control problem for

Deep Learning: Philosophical Issues ***This is a pre-print

Convolution is a linear algebra operation that transforms some chunk of the network s input to amplify certain values and minimize others. In DCNNs, it is typically applied to a window of perceptual input data, such as a rectangle of pixels in an image or a snippet of audio information in a sound file (for ease


Abstract We consider linear quadratic Gaussian (LQG) games in large population systems where the agents evolve according to nonuniform dynamics and are coupled via their individual costs. A state aggregation technique is developed to obtain a set of decen-tralized control laws for the individuals which possesses an -Nash equilibrium property.

Indoor Semantic Segmentation using depth information

cations in robotics or games [6]. The pioneering work of Silberman et al. [22] was the first to deal with the task of semantic full image labeling using depth information. The NYU depth v1 dataset [22] guathers 2347 triplets of images, depth maps, and ground truth labeled images covering twelve object categories.

Mathematical Programming in Practice 5

analysis. Furthermore, sensitivity tests and shadow price information allow the decision-maker to evaluate how well the resources of the firm are balanced. For example, a tactical linear-programming model designed to support production-planning decisions might reveal insufficient capacity in a given stage of the production process.

SwitchingLemmaforBilinearTestsand Constant

response. The switching lemma can be based on any k-linear hardness assumptions on one of the groups. In particular, this enables convenient information theoretic arguments in the construction of sequence of games proving security of cryptographic schemes, mimicking proofs and constructions in the random oracle model.

Spatial Evolutionary Game Theory: Deterministic

constructing Zeeman games - games with an interior asymptotically stable Nash equilibrium and a pure strategy ESS. The hierarchical modeling of evolutionary games provides exibility in address-ing the complex nature of social interactions as well as systematic frameworks in

Inclusive Cognitive Hierarchy - WU

by focusing on the linear quadratic games. We furthermore provide a numerical comparison of the individual behaviors and the performance of collective decisions under di erent spec-i cations of the cognitive hierarchy in a game of information aggregation. In Section4, we

Community-Level Geothermal Heat Pump System Management Via an

These questions lead to the imperative topic on aggregation and disaggregation of GHP (and general HVAC) systems. In fact, some recent work has focused on aggregation and disaggregation of HVAC systems (more generally, Thermo-statically Controlled Loads or TCLs) [9] [13]. For example, a generalized battery model was developed to characterize

arXiv:2106.01186v1 [cs.CL] 2 Jun 2021

investigated hierarchical models based on recur-rent neural networks or BERT (Devlin et al.,2019) leading to state-of-the-art results in supervised doc-ument similarity challenges. These hierarchical models employ a bottom-up approach in which a long body of text (a document) is represented as an aggregation of smaller components i.e., paragraphs,


information in which each player moves sequentially from top to bottom. This problem is a nested hierarchical structure. When p 2, we call the system a bi-level programming problem. Hierarchical optimization or multi level programming techniques are extension of Stackelberg games for solving

1 Cooperative Search by UAV Teams: A Model Predictive

Jul 13, 2011 continuous stationary target search based on an aggregation of the search space using a graph partition [4]. In [21], we used a similar approach, but with a fractal formulation, which allowed the partitioning process to be implemented on multiple levels. All of the results mentioned so far are for a single search agent.


systems are almost all based on very limited abilities to represent information. Planning Planning starts with general facts about the world (especially facts about the effects of actions), facts about the particular situation and a statement of a goal. From these, planning programs generate a strategy for achieving the goal.

IEEE TRANSAC~ONS VOL. NO. 1 NOVEMBER Hierarchical Aggregation


Graying the black box: Understanding DQNs

been offered including linear function approximators (Tsitsiklis & Van Roy,1997), hierarchical representations (Dayan & Hinton,1993), state aggregation (Singh et al., 1995) and options (Sutton et al.,1999). These methods rely upon engineering problem-specific state representa-tions, hence, reducing the agent s flexibility and making

32nd International Conference on Machine Learning (ICML 2015)

Volume 1 of 3 ISBN: 978-1-5108-1058-7 32nd International Conference on Machine Learning (ICML 2015) Lile, France 6 11 July 2015 Editors: Francis Bach


2. Hierarchical Aggregation of Linear Systems This section is a brief overview of the results in 11]. For a complete proof of the main theorem, as well as precise mathematical statements, the reader is referred to 1l]. We begin by postulating a dynamic model which describes the

Optimization Methods for Multidisciplinary Design in

information and a-priori choice of weights. Game Theory (von Neumann) Game Strategies-Cooperative Games - Pareto-Competitive Games - Nash-Hierarchical Games - Stackelberg Vector Evaluated GA (VEGA) Schaffer,85 Multi Objective Optimization with GAs K. Deb , 2001

Air Force Institute of Technology AFIT Scholar

create hierarchical, emergent systems. To fill this research gap, this dissertation presents an algorithm based on entropy and speciation - defined as morphological or physiological differences in a population - that results in hierarchical emergent phenomena in multi-agent systems.

Then, Section 5 provides simulation results and the

decomposition and aggregation techniques such as HRL approaches [30 32] and advance HRL [33]. Different forms of function approximators can be used with RL techniques. For example, linear function approximation, a linear combination of feature of state and action spaces f and learned weights w (e.g. ∑ifiw) or a non-linear function approximation

Volume 34 Number 4 2018 ISSN 0949-149X The International

analyses, and scale reliability analysis. Other analyses involved aggregation analysis, ANOVA, correlation, and hierarchical linear modeling. A validated 59-item survey scale was realized. Perceived engineering student team innovation is found to be significantly

Towards Using Games Theory to Detect

K. Arai et al. (eds.), Intelligent Systems in Science and Information 2014, Studies in Computational Intelligence 591, DOI 10.1007/978-3-319-14654-6 22 Abstract In this paper we focused on proving

Nash Strategies and Adaptation for Decentralized Games

linear models, and in [19] for nonlinear models. In contrast to existing work (especially for dynamic LQG games [14]), our concentration is on games with large populations. We analyze the ε-Nash equilibrium properties for a control law by which each individual optimizes using local information while interacting with the average effect of all

Hierarchical Reinforcement Learning using Spatio-Temporal

Hierarchical Reinforcement Learning using Spatio-Temporal Abstractions and form state-aggregation using clustering techniques and es- the simplex is just a linear transformation around the

Solving imperfect information games on heterogeneous hardware

8 aggregation procedure to refactor the execution plan for the algorithms designed to 9 solve imperfect information games. This procedure first aggregates isolated scalar 10 operations into vector operations, then it further combines some of those vector 11 operations into matrix operations that can be expressed by Basic Linear Algebra

A New Formulation for the Travelling Salesman Problem A

A Combined Direct-Iterative Method for Certain M-Matrix Linear Systems R. E. Funderlic and R. J. Plemmons A Hierarchical Representation of the Inverse for Sparse Matrices

Mathematical solution of Bi-level Quadratic Fractional

techniques are extension of Stackelberg games for solving decentralized planning problem with multiple DMs in a hierarchical organization. The Stackelberg solution has been employed as a solution concept to bi-level programming problems, and a considerable number of algorithms for obtaining the solution have been employed.

Switching Lemma for Bilinear Tests and Constant-size NIZK

The switching lemma can be based on any k-linear hardness assumptions on one of the groups. In particular, this enables convenient information theoretic arguments in the construction of sequence of games proving security of cryptographic schemes, mimicking proofs and constructions in the random oracle model.

Beyond Bags of Features: Spatial Pyramid Matching for

in [7], the computational complexity of the kernel is linear in the number of features). It must also be noted that we did not observe any significant increase in performance beyond M = 200 and L =2, where the concatenated histograms are only 4200-dimensional. 1In principle, it is possible to integrate geometric information directly