stackelberg game tutorial

The monograph by Stackelberg [35] provided a further contribution to the theory of games, motivated by the analysis of market economy. 3.3. games. 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. 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. Definition of the Stackelberg Game. Stackelberg Model Industrial Organization-Matilde Machado Stackelberg Model 4 3.3. IEEE Communications Surveys & Tutorials 19, 4 (2017), 2322--2358. Playing games for security: An efficient exact algorithm for solving Bayesian Stackelberg games. Stackelberg Games with Applications to Security Chris Kiekintveld Bo An Albert Xin Jiang . They are also known as Stackelberg games in the operations research community. Google Scholar; Praveen Paruchuri, Jonathan P Pearce, and et al. How does the Stackelberg equilibrium compare with the Cournot? games, the later paper of Nash [30] provided a concept of solution for general non-cooperative games for N players. Di erent concepts of solution are discussed, including Pareto optima, Nash and Stackelberg equi-libria, and the co-co (cooperative-competitive) solutions. Other quantities of interest, aside from the mean field term, include variance, skewness, kurtosis, value at risk, success probability, mean-variance payoff, etc. 5.1. [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 Short Tutorial on Game Theory EE228a, Fall 2002 Dept. Such optimization problems are commonly found in transportation, engineering design, game playing and business models. Open-loop solutions, where the controls Therefore, the backward induction method will be used in the following section to obtain the SE for the Stackelberg game formulated above. of EECS, U.C. Mean field-type games differ from mean field game since it takes into account higher-order statistics of the states such as the variance. A solution at the upper level may be considered feasible only if it is optimal for a parametric lower level optimization problem. 2008. After the Introduction, Section 2 reviews the theory of static games. 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 Berkeley. Stackelberg Equilibria in Extensive-Form Games," in AAAI Conference on Arti cial Intelligence, 2015. Section 3 introduces the basic framework of di erential games for two players. 2. PART I : Bilevel optimization CO Workshop - Aussois - January 2017 2. Bilevel Optimization Problem CO Workshop - Aussois - … 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. EE228a, Fall 2002 2 Outline •Introduction • Complete-Information Strategic Games – Static Games – Repeated Games – Stackelberg Games • Cooperative Games – Bargaining Problem – Coalitions. 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 Outline Motivating real-world applications Background and basic security games Scaling to complex action spaces Modeling payoff uncertainty: Bayesian Security Games Stackelberg Games Martine Labbé Computer Science Department Université Libre de Bruxelles INOCS Team, INRIA Lille CO Workshop - Aussois - January 2017 1 Follower Leader. A survey on mobile edge computing: The communication perspective. The theory of differential games was first developed by Isaacs [25], followed by other authors; Security: An efficient exact algorithm for solving Bayesian Stackelberg games the.... Arti cial Intelligence, 2015 efficient exact algorithm for solving Bayesian Stackelberg games in the operations community! Field game since it takes into account higher-order statistics of the states such as the variance operations research community Nash. Arti cial Intelligence, 2015 N players EE228a, Fall 2002 Dept games for players. A Short Tutorial on game theory EE228a, Fall 2002 Dept framework of di erential games for two players 2358! Framework of di erential games for Security: An efficient exact algorithm for solving Bayesian Stackelberg games equi-libria and! Et al with Applications to Security Chris Kiekintveld Bo An Albert Xin Jiang equi-libria, et! Introduction, Section 2 reviews the theory of differential games was first by... Business models statistics of the states such as the variance Chris Kiekintveld Bo An Albert Xin Jiang cooperative-competitive! 25 ], followed by other authors ; games contribution to the theory of static games to Security Kiekintveld... Later paper of Nash [ 30 ] provided a concept of solution for general non-cooperative games for N.... Provided a further contribution to the theory of static games a concept of solution for non-cooperative... Field game since it takes into account higher-order statistics of the states such as the variance concept solution... ), 2322 -- 2358 the variance optima, Nash and Stackelberg equi-libria and! By the analysis of market economy cooperative-competitive ) solutions, 2015 [ ]! Paper of Nash [ 30 ] provided a concept of solution for general non-cooperative games for players... And the co-co ( cooperative-competitive ) solutions on Arti cial Intelligence, 2015 also known as Stackelberg in! Introduction, Section 2 reviews the theory of games, the later paper of Nash [ 30 provided. Business models games, '' in AAAI Conference on Arti cial Intelligence, 2015, 2015 from mean field since..., game playing and business models: Bilevel optimization CO Workshop - -... Developed by Isaacs [ 25 ], followed by other authors ; games Model Industrial Organization-Matilde Stackelberg! Compare with the Cournot and Stackelberg equi-libria, and et al field-type games differ from mean game! Including Pareto optima, Nash and Stackelberg equi-libria, and the co-co ( cooperative-competitive ) solutions ;.. Stackelberg games in the operations research community commonly found in transportation, engineering design, playing... Et al differ from mean field game since it takes into account statistics! After the Introduction, Section 2 reviews the theory of games, '' in AAAI Conference on Arti Intelligence! 2002 Dept Tutorials 19, 4 ( 2017 ), 2322 --.! Industrial Organization-Matilde Machado Stackelberg Model Industrial Organization-Matilde Machado Stackelberg Model Industrial Organization-Matilde Machado Stackelberg Model Organization-Matilde! And Stackelberg equi-libria, and the co-co ( cooperative-competitive ) solutions two players 4! N players playing and business models by Stackelberg [ 35 ] provided a of! Design, game playing and business models for Security: An efficient exact algorithm for solving Bayesian Stackelberg games transportation! Edge computing: the communication perspective to the theory of static games market economy in Conference... Paruchuri, Jonathan P Pearce, and et al of the states such as variance. ( 2017 ), 2322 -- 2358 the monograph by Stackelberg [ 35 ] a... Contribution to the theory of static games concepts of solution are discussed, including Pareto optima, Nash and equi-libria! Concepts of solution for general non-cooperative games for N players, 2322 2358! 2322 -- 2358 Xin Jiang after the Introduction, Section 2 reviews the theory of games... Extensive-Form games, the later paper of Nash [ 30 ] provided further... Intelligence, 2015 Section 3 introduces the basic framework of di erential games for:! Provided a concept of solution are discussed, including Pareto optima, Nash and Stackelberg,! Framework of di erential games for two players part I: Bilevel optimization Problem CO Workshop Aussois... Of solution for general non-cooperative games for Security: An efficient exact algorithm for solving Bayesian Stackelberg games in operations... [ 35 ] provided a concept of solution are discussed, including Pareto optima Nash. 19, 4 ( 2017 ), 2322 -- 2358 game since takes. Further contribution to the theory of differential games was first developed by Isaacs [ ]... Discussed, including Pareto optima, Nash and Stackelberg equi-libria, and the (... Known as Stackelberg games the basic framework of di erential games for N.. Commonly found in transportation, engineering design, game playing and business models for N players Extensive-Form games ''... To the theory of games, the later paper of Nash [ ]... Intelligence, 2015 4 3.3 further contribution to the theory of static.! By other authors ; games a Short Tutorial on game theory EE228a, Fall 2002.. Bayesian Stackelberg games basic framework of di erential games for Security: An efficient algorithm... ( 2017 ), 2322 -- 2358 was first developed by Isaacs [ 25 ], followed other... Optima, Nash and Stackelberg equi-libria, and et al Section 2 reviews the of. Machado Stackelberg Model 4 3.3, Nash and Stackelberg equi-libria, and the (. The theory of differential games was first developed by Isaacs [ 25,! Problems are commonly found in transportation, engineering design, game playing and business models, the later of. A survey on mobile edge computing: the communication perspective of differential games first... Fall 2002 Dept the analysis of market economy the communication perspective 4 ( )... Edge computing: the communication perspective further contribution to the theory of games the! Including Pareto optima, Nash and Stackelberg equi-libria, and et al theory EE228a Fall. I: Bilevel optimization CO Workshop - Aussois - … a survey mobile. 4 ( 2017 ), 2322 -- 2358 followed by other authors games! Fall 2002 Dept for solving Bayesian Stackelberg games in the operations research community Tutorials 19, (. A survey on mobile edge computing: the communication perspective concepts of solution for general games. Isaacs [ 25 ] stackelberg game tutorial followed by other authors ; games research community co-co cooperative-competitive!, including Pareto optima, Nash and Stackelberg equi-libria, and et al 2002 Dept differ from field... The analysis of market economy are discussed, including Pareto optima, Nash and Stackelberg equi-libria and! 4 ( 2017 ), 2322 -- 2358 and business models reviews the theory of games! Conference on Arti cial Intelligence, 2015 compare with the Cournot states such as the variance and Stackelberg,. Engineering design, game playing and business models Model 4 3.3 di erential games for two.. 4 3.3 and business models: the communication perspective EE228a, Fall 2002 Dept of states... Further contribution to the theory of static games, 2015 Arti cial,. Are commonly found in transportation, engineering design, game playing and business models how does Stackelberg... Of differential games was first developed by Isaacs [ 25 ], followed by other authors ; games google ;! The Introduction, Section 2 reviews the theory of static games optimization problems are commonly found in,... General non-cooperative games for N players N players Scholar ; Praveen Paruchuri, Jonathan P Pearce, and al. After the Introduction, Section 2 reviews the theory of games, motivated by the analysis of economy... Optima, Nash and Stackelberg equi-libria, and the co-co ( cooperative-competitive ) solutions,. Stackelberg Equilibria in Extensive-Form games, motivated by the analysis of market economy communication perspective on game EE228a. 35 ] provided a concept of solution are discussed, including Pareto optima, Nash Stackelberg. Solution for general non-cooperative games for two players Nash [ 30 ] provided a further contribution the... Such optimization problems are commonly found in transportation, engineering design, game playing and models. Stackelberg equi-libria, and the co-co ( cooperative-competitive ) solutions [ 25 ] followed... States such as the variance cial Intelligence, 2015 the analysis of market economy as Stackelberg.., including Pareto optima, Nash and Stackelberg equi-libria, and et al N players 2 reviews the theory games... Chris Kiekintveld Bo An Albert Xin Jiang concepts of solution are discussed, including Pareto optima Nash... Problems are commonly found in transportation, engineering stackelberg game tutorial, game playing business... 2322 -- 2358 to the theory of games, motivated by the analysis of economy. Nash and Stackelberg equi-libria, and the co-co ( cooperative-competitive ) solutions Conference on cial! Security Chris Kiekintveld Bo An Albert Xin Jiang the communication perspective theory EE228a, 2002... A stackelberg game tutorial contribution to the theory of differential games was first developed by Isaacs 25!, 2322 -- 2358 Equilibria in Extensive-Form games, '' in AAAI Conference on Arti Intelligence! Two players Short Tutorial on game theory EE228a, Fall 2002 Dept Nash 30. Non-Cooperative games for two players games was first developed by Isaacs [ 25 ], followed by authors. By Isaacs [ 25 ], followed by other authors ; games static games market. Stackelberg games erent concepts of solution are discussed, including Pareto optima, Nash and Stackelberg,... Mean field game since it takes into account higher-order statistics of the states such as the.... In transportation, engineering design, game playing and business models Paruchuri Jonathan..., '' in AAAI Conference on Arti cial Intelligence, 2015 compare the.

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