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OPTGAME3: A Dynamic Game Solver and an Economic Example

Abstract In this paper we present the OPTGAME3 algorithm, which can be used to calculate equilibrium and optimum control solutions of dynamic games. The algorithm was programmed in C# and MATLAB1 and allows the calculation of approximate cooperative Pareto-optimal solutions and non-cooperative Nash.

9783319026893-c1.pdf?SGWID=0-0-45-1446078-p176263842

Developments in differential game theory and numerical methods

Nov 9, 2006 ... Developments in differential game theory and numerical methods: economic and management applications. Authors; Authors and ... This paper argues that the literature applying differential games in economics and management science has aimed to a large extent for analytical results. One reason is that ...

H84035262114J612.pdf

Methodological Issues in Analyzing Market Dynamics

Dynamics. Ariel Pakes. Abstract This paper investigates progress in the development of models capable of empirically analyzing the evolution of industries. It starts with a parallel ... Annals of the International Society of Dynamic Games 14, ... 2. each agent does the best they can conditional on their perceptions of nature's.

978-3-319-28014-1_3.pdf

Maurizio FALCONE

Annals of Dynamic Games, vol. 10 (2009), special issue "Advances in. Dynamic Games and Their Applications: Analytical and Numerical. Developments", Pierre Bernhard, Vladimir Gaitsgory, and Odile Pourtallier. (eds), 179-210 DOI: 10.1007/ 978-0-8176-4834-3_11. 43. E. Carlini, M. Falcone, N. Forcadel, R. Monneau.

mfcurric.pdf

synthesis of safe controllers for nonlinear systems using dynamic

Dynamic programming, nonlinear systems, numerical methods, safety, set invariance. 1 Introduction. This paper focuses ... ing number applications, there still remain scenarios for which minimization of computational ... the domain of the control input and, eventually, dis- turbances (e.g., in the framework of differential games.

227811.pdf

Numerical Methods for Differential Games based on Partial

Jul 7, 2011 ... Pursuit-evasion games, numerical methods, dynamic programming, Isaacs equation. 1 Introduction. In this paper ... weak solution for a class of first-order PDEs including Isaacs' equations, and proved their existence ...... and Applications”, Annals of the International Society of Differential Games,. Birkhäuser ...

TalkBCAM20110707MFLN_GERAD.pdf

Efficient method for computing strategies for successive pursuit

spaces can make analytical and numerical solutions difficult. ... Differential games are a type of dynamic game where the game state is described by a set ...... Advances in. Dynamic Games and Their Applications, Birkhauser Boston, Annals of the International. Society of Dynamic Games 10 (2009). [29] A. Chikrii and S.

fulltext.pdf

computational methods for dynamic optimization and pursuit

and Optimization, Chapman & Hall, London, 1996. [III] Raivio, T. and Ehtamo, H., "On the numerical solution of a class of pursuit-evasion games," In: J. Filar, K. Mizukami, and V. Gaitsgory, eds., Annals of the. International Society of Dynamic Games, Vol. 5: Advances in Dynamic Games and. Applications, Birkhäuser, Boston ...

rrai00b.pdf

A New Approach to Generalized Fractional Derivatives

Oct 14, 2014 ... In recent years, the Fractional Calculus (FC) draws increasing attention due to its applications in many fields. The history .... 111] has misprints in its definitions of the Hadamard Derivatives. ..... Advances in Dynamic Games, volume 11 of Annals of the International Society of Dynamic Games, pages 61–81.

1106.0965

Game Theory: Models, Numerical Methods and Applications

c 2014 D. Bauso. DOI: 10.1561/2600000003. Game Theory: Models, Numerical Methods and. Applications. Dario Bauso. Dipartimento di Ingegneria Chimica, Gestionale, .... where there is a trend to use game theoretic tools to design protocols ...... Games, Annals of the International Society of Dynamic Games, 7: 309–342,.

SYS-003

A Time-Dependent Hamilton-Jacobi Formulation of Reachable Sets

puting the set of reachable states of a continuous dynamic game. ... solutions. A numerical implementation of our formulation is described and has been released on the web. Its correctness is verified through a two vehicle, three dimensional collision ...... Annals of International Society of Dynamic Games, M. Bardi, T. E. S..

theoryCont.pdf

Applications to Economics, Finance, Optimization, and Stochastic

Advances in dynamic games : applications to economics, finance, optimization, and ... (Annals of the International Society of Dynamic Games ; [v. 7]) .... 455. Agnieszka Wiszniewska-Matyszkiel. Part V. Numerical Methods and Algorithms for Solving. Dynamic Games. Distributed Algorithms for Nash Equilibria of Flow Control ...

Nowak A., Szajowski K. (eds.) Advances in dynamic games.. Applications to economics, finance, optimization (Birkhauser, 2005)(ISBN 0817643621)(699s)_MOc_.pdf

Ariel Pakes

Nov 4, 2017 ... Market Dynamics”. • Keynote Speaker, The International Society for Dynamic Games and. Applications, Amsterdam, July 2014. “Dynamic Analysis of Market ..... Development.” • “New Economic Tools for Merger Analysis,” at Symposium on Economists'. Perspectives on Antitrust (for lawyers and their ...

vita-nov-2017.pdf

Game Theory and Water Resources Critical Review of its

The river sharing problem: A review of the technical literature for policy economists. University Library of Munich, Germany, 2011. R. Beard and S. McDonald. Time-consistent fair water sharing agreements. In. Advances in Dynamic Game Theory: Numerical Methods, Algorithms, and. Applications to Ecology and Economics, ...

MIC-066

A Time-Dependent Hamilton–Jacobi Formulation of Reachable Sets

puting the set of reachable states of a continuous dynamic game. The algorithm is based on a proof that the ... A numerical implementation of our formulation is described and has been released on the web. Its correctness is .... that demonstrates its accuracy and its application to air traffic control. We note that a completely ...

publishedIEEEtac05.pdf

CURRICULUM VITAE

Oct 14, 2013 ... Breton, M. and K. Sadowski, editors, Advances in Dynamic Games: Theory, Applications and Numerical. Methods for Differential and Stochastic Games, Annals of the International Society of Dynamic Games,. Volume 11, Springer, 2011. 2. Breton, M. and H. Ben Ameur (editors), Numerical Methods in ...

cv-en.pdf

Synthesis of Optimal Strategies for Differential Games by Neural

May 15, 1996 ... Considering the stage of development of numerical solution methods for both ... All these approaches can be applied to optimal control problems as well as di erential game problems. However, only 7] deals with di erential games. ...... A. Haurie (Eds.), Advances in Dynamic Games and Applications, An-.

b25.pdf

Model Problem in a Line with Two Pursuers and One Evader Sergey

Feb 25, 2012 ... The results of a numerical simulation are shown. Keywords Pursuit-evasion differential game · Linear dynamics · Value function · Optimal feedback ...... In: Bernhard P, Gaitsgory V, Pourtallier O (eds) Advances in dynamic games and applications. Annals of the international society of dynamic games, vol 10.

Model_Problem_in_a_Line_with_Two_Pursuers_and_One_Evader.pdf

Regular article An efficient algorithm for Hamilton–Jacobi equations

Apr 7, 2004 ... games. Although the theory of viscosity solutions and the an- alysis of approximation schemes are usually developed in Rm, from a practical point of view there are severe limitations to the implementation of the schemes for m ≥ 3. This is the drawback of Dynamic Programming with respect to the open-.

s00791-004-0124-5.pdf

CV Herbert Dawid

Dynamic Games and Applications (Associate Editor, since 2013). Journal of Economic Behavior and .... Econometric Society, Society for Computational Economics, International Schumpeter So- ciety, Verein für ... Dawid, H. (1999), Adaptive Learning by Genetic Algorithms, Analytical Results and Appli- cations to Economic ...

CV_HD.pdf