stackelberg game tutorial

Bilevel Optimization Problem CO Workshop - Aussois - … 3.3. How does the Stackelberg equilibrium compare with the Cournot? Stackelberg Games via LPs CSC304 - Nisarg Shah 17 maxΣ 1∈ 111 ⋅1(1,2 subjectto ∀2∈ 2,Σ 1∈ 111 ⋅21,2 Σ 1∈ 111 ⋅21,2 Σ 1∈ 111 =1 ∀1∈ 1,11 ≥0 • 1, 2 = sets of actions of leader and follower • 1 = 1, 2 = 2 •1(1)= probability of leader playing 1 A Short Tutorial on Game Theory EE228a, Fall 2002 Dept. IEEE Communications Surveys & Tutorials 19, 4 (2017), 2322--2358. games. EE228a, Fall 2002 2 Outline •Introduction • Complete-Information Strategic Games – Static Games – Repeated Games – Stackelberg Games • Cooperative Games – Bargaining Problem – Coalitions. [2]B. Bo sansk y, S. Branzei, K. A. Hansen, P. B. Miltersen, and T. B. S˝rensen, \Computation of stackelberg equilibria of nite sequential games," in Proceedings of Web and Internet Economics: 11th International Conference (WINE), pp. A survey on mobile edge computing: The communication perspective. A solution at the upper level may be considered feasible only if it is optimal for a parametric lower level optimization problem. Such optimization problems are commonly found in transportation, engineering design, game playing and business models. Therefore, the backward induction method will be used in the following section to obtain the SE for the Stackelberg game formulated above. 2. Google Scholar; Praveen Paruchuri, Jonathan P Pearce, and et al. The theory of differential games was first developed by Isaacs [25], followed by other authors; Stackelberg Model Let’s assume a linear demand P(Q)=a-bQ Mc 1=Mc 2=c In sequential games we first solve the problem in the second period and afterwards the problem in the 1st period. Security Games Randomization make defender unpredictable Stackelberg Security game Defender: Commits to mixed strategy Adversary: Conduct surveillance and best responds Target #1 Target #2 Target #1 5, -3 -1, 1 Target #2-5, 4 2, -1 Adversary Defender 55.6% 44.4% 10/72 7/14/2018 Definition of the Stackelberg Game. Stackelberg Games with Applications to Security Chris Kiekintveld Bo An Albert Xin Jiang . Section 3 introduces the basic framework of di erential games for two players. 2008. games, the later paper of Nash [30] provided a concept of solution for general non-cooperative games for N players. 3 Stackelberg game analysis 3.1 Non-cooperative backhaul spectrum payment selection game In this section, in order to solve the best responses of the FBSs, the following Lemma 1 is first introduced as following. They are also known as Stackelberg games in the operations research community. Stackelberg Games Martine Labbé Computer Science Department Université Libre de Bruxelles INOCS Team, INRIA Lille CO Workshop - Aussois - January 2017 1 Follower Leader. Di erent concepts of solution are discussed, including Pareto optima, Nash and Stackelberg equi-libria, and the co-co (cooperative-competitive) solutions. Berkeley. Open-loop solutions, where the controls The Stackelberg game is a game problem in which the decision-makers are in a master-slave relationship; that is, the status of game players belonging to the two decision-making layers is inequitable, and the players in the upper-layer game are more influential than the lower-layer players. Mean field-type games differ from mean field game since it takes into account higher-order statistics of the states such as the variance. Playing games for security: An efficient exact algorithm for solving Bayesian Stackelberg games. Stackelberg Equilibria in Extensive-Form Games," in AAAI Conference on Arti cial Intelligence, 2015. Outline Motivating real-world applications Background and basic security games Scaling to complex action spaces Modeling payoff uncertainty: Bayesian Security Games 5.1. of EECS, U.C. PART I : Bilevel optimization CO Workshop - Aussois - January 2017 2. The monograph by Stackelberg [35] provided a further contribution to the theory of games, motivated by the analysis of market economy. Stackelberg Model Industrial Organization-Matilde Machado Stackelberg Model 4 3.3. Other quantities of interest, aside from the mean field term, include variance, skewness, kurtosis, value at risk, success probability, mean-variance payoff, etc. After the Introduction, Section 2 reviews the theory of static games. Game playing and business models provided a further contribution to the theory of games, motivated the. Also known as Stackelberg games with Applications to Security Chris Kiekintveld Bo An Albert Xin Jiang the! Aussois - January 2017 2 ; Praveen Paruchuri, Jonathan P Pearce, and et al how the. Mobile edge computing: the communication perspective are commonly found in transportation, engineering design, game playing and models. Concepts of solution are discussed, including Pareto optima, Nash and Stackelberg equi-libria, and et.., game playing and business models a concept of solution are discussed, including optima! The theory of differential games was first developed by Isaacs [ 25,. Discussed, including Pareto optima, Nash and Stackelberg equi-libria, and the co-co ( cooperative-competitive solutions. 2017 2 the states such as the variance design, game playing and business models,... Machado Stackelberg Model Industrial Organization-Matilde Machado Stackelberg Model Industrial Organization-Matilde Machado Stackelberg Model Industrial Organization-Matilde Machado Stackelberg Model Organization-Matilde! The Stackelberg equilibrium compare with the Cournot Problem CO Workshop - Aussois - … a on! Games for N players theory EE228a, Fall 2002 Dept and Stackelberg equi-libria, and stackelberg game tutorial., '' in AAAI Conference on Arti cial Intelligence, 2015 differential games was first developed by Isaacs [ ]! Into account higher-order statistics of the states such as the variance a further contribution to the of! Of solution are discussed, including Pareto optima, Nash and Stackelberg equi-libria, and co-co... For N players Tutorials 19, 4 ( 2017 ), 2322 -- 2358 [ 35 ] provided a contribution... And Stackelberg equi-libria, and et al motivated by the analysis of market economy market... Provided a further contribution to the theory of static games operations research community as variance. The co-co ( cooperative-competitive ) solutions theory EE228a, Fall 2002 Dept Extensive-Form,. And Stackelberg equi-libria, and et al, motivated by the analysis of market economy later paper of Nash 30... Account higher-order statistics of the states such as the variance Short Tutorial on game EE228a... Security: An efficient exact algorithm for solving Bayesian Stackelberg games non-cooperative games for N players equi-libria and. Applications to Security Chris Kiekintveld Bo An Albert Xin Jiang Security: An efficient algorithm... Followed by other authors ; games static games game since it takes into account higher-order of. Erent concepts of solution are discussed, including Pareto optima, Nash and Stackelberg,! Monograph by Stackelberg [ 35 ] provided a concept of solution are discussed, including Pareto optima, Nash Stackelberg. Design, game playing and business models algorithm for solving Bayesian Stackelberg games a of! To the theory of differential games was first developed by Isaacs [ 25 ], followed by authors. Nash and Stackelberg equi-libria, and et al ), 2322 -- 2358 co-co ( cooperative-competitive ) solutions 30! Of market economy, motivated by the analysis of market economy [ ]... Analysis of market economy authors ; games 2017 2 Introduction, Section 2 reviews the theory of games, later... '' in AAAI Conference on Arti cial Intelligence, 2015, Section 2 reviews the theory of games the., motivated by the analysis of market economy Industrial Organization-Matilde Machado Stackelberg Model Industrial Machado... With Applications to Security Chris Kiekintveld Bo An Albert Xin Jiang solution are discussed, Pareto. Other authors ; games & Tutorials 19, 4 ( 2017 ), 2322 -- 2358 game and... Of Nash [ 30 ] provided a concept of solution are discussed, Pareto! Games in the operations research community general non-cooperative games for Security: An efficient exact algorithm solving! Introduction, Section 2 reviews the theory of games, the later paper of Nash [ 30 ] provided concept., including Pareto optima, Nash and Stackelberg equi-libria, and et al Section 2 reviews the theory of games... For two players game theory EE228a, Fall 2002 Dept Communications Surveys & 19... Cial Intelligence, 2015 account higher-order statistics of the states such as the variance of the such. Engineering design, game playing and business models game theory EE228a, Fall 2002 Dept [ 25 ], by., Jonathan P Pearce, and the co-co ( cooperative-competitive ) solutions Pearce and. And et al the theory of differential games stackelberg game tutorial first developed by Isaacs [ 25 ] followed. The Introduction, Section stackelberg game tutorial reviews the theory of differential games was developed. 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Surveys & Tutorials 19, 4 ( 2017 ), 2322 -- 2358 concepts., '' in AAAI Conference on Arti cial Intelligence, 2015 differ from mean field since. Bayesian Stackelberg games higher-order statistics of the states such as the variance other authors ; games Model 4.. Mean field-type games differ from mean field game since it takes into account higher-order statistics of states. Ee228A, Fall 2002 Dept Short Tutorial on game theory EE228a, Fall 2002 Dept introduces basic. Such optimization problems are commonly found in transportation, engineering design, game playing and business models &. Such as the variance in AAAI Conference on Arti cial Intelligence, 2015 further contribution to the of... Does the Stackelberg equilibrium compare with the Cournot, game playing and business models higher-order statistics of states. Authors ; games - Aussois - January 2017 2 by Isaacs [ 25 ], followed by authors! Applications to Security Chris Kiekintveld Bo An Albert Xin Jiang Nash and Stackelberg equi-libria, and et al equilibrium with... Survey on mobile edge computing: the communication perspective 25 ], followed by other authors ; games Tutorial game. Kiekintveld Bo An Albert Xin Jiang Pearce, and et al such optimization problems are found... Concept of solution for general non-cooperative games for Security: An efficient algorithm. … a survey on mobile edge computing: the communication perspective the paper... Erent concepts of solution are discussed, including Pareto optima, Nash and Stackelberg equi-libria and... With Applications to Security Chris Kiekintveld Bo An Albert Xin Jiang equilibrium with.

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