'Mixed strategies' diaporamas de présentation

Topic-11

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Adapted from: Game Theoretic Approach in Computer Science CS3150, Fall 2002 Introduction to Game Theory

Adapted from: Game Theoretic Approach in Computer Science CS3150, Fall 2002 Introduction to Game Theory Patchrawat Uthaisombut University of Pittsburgh Outline Example: Restaurant Game Formal Definition of Games Goal: Computing outcome of a game Examples: Computing game outcomes

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Applied Game Theory

Applied Game Theory. Lecture 8 Chapter 7-Mixed Strategies in 2x2 Games. Last Time. Relationship between Sequential and Simultaneous Move Games Simultaneous Game as a Sequential game Information Set Sequential Game as a Simultaneous game Undesirable Nash Equilibrium

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Introduction to Game Theory

Introduction to Game Theory. Lecture 3: Mixed Strategy Nash Equilibrium. Review. Ideal world: Believes derived from past experience of playing the game Experience sufficient to know how opponents will play

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Game Theory Lecture Jan 18

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Game Theory

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The Crisis of Authority in the Muslim Middle East

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Game Theory

Game Theory. Game theory models strategic behavior by agents who understand that their actions affect the actions of other agents. Useful to study Company behavior in imperfectly competitive markets (such as Coke vs. Pepsi). Military strategies. Bargaining/Negotiations. Biology

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International Environmental Agreements with Uncertain Environmental Damage and Learning

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Computing equilibria of security games using linear integer programming

Computing equilibria of security games using linear integer programming. Dima Korzhyk dima@cs.duke.edu. Problem Description. Targets t Utilities Resources n d , n a. Mixed strategies. Defender strategy: probability of defending target t is d t , s.t .

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Risk attitudes, normal-form games, dominance, iterated dominance

Risk attitudes, normal-form games, dominance, iterated dominance. Vincent Conitzer conitzer@cs.duke.edu. Risk attitudes. Which would you prefer? A lottery ticket that pays out $10 with probability .5 and $0 otherwise, or A lottery ticket that pays out $3 with probability 1 How about:

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Principles of Game Theory

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Part 1 Nocooperative Equilibria in Normal Form Games

Part 1 Nocooperative Equilibria in Normal Form Games. Part1-4 Uncertainty, Risk, and Mixed Strategy NE. prolog. Incomplete information ??????? complete but imperfect information ??????? ?? ???? ?? ? ???????????? ???? ?? ?

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APPENDIX B

APPENDIX B. APPENDIX B A PROCEDURE FOR GENERATING AN EQUILIBRIUM POINT FOR 2-PERSON GAMES (That sometimes works!). Basic Idea. Player II speaking : "I'll design my strategy, call it y* such that the expected payoff to Player I will be constant regardless of what she will do!

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CPS 196.2 Learning in games

CPS 196.2 Learning in games. Vincent Conitzer conitzer@cs.duke.edu. Learning in (normal-form) games. Approach we have taken so far when playing a game: just compute an optimal/equilibrium strategy Another approach: learn how to play a game by playing it many times, and

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Computation in Economic Models

Computation in Economic Models. Lance Fortnow Northwestern University. Complexity of Equilibrium. If it is hard to computer an equilibrium than the market might not be getting there. Bounded Rationality. Cannot compute the best strategies Leads to different equilibrium

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Social Network Analysis - Lecture 5 - *

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9.1 Games and Strategies

9.1 Games and Strategies. Optimal Strategy for Side Player (R) Select the smallest value in each row Optimal Strategy for Top Player (C) Select the largest value in each column. The saddle point (Pareto point) is where these two values overlap.

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GAME THEORY AND INTERACTIVE DECISIONS

GAME THEORY AND INTERACTIVE DECISIONS Introduction Interactive and Non- Interactive Decisions Fundamentals of Game Theory Types of Games Game Solution and Equilibrium Non Zero and Zero Sum Games Summary Fundamentals Decision Theory: Non Interactive and Interactive Decisions

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HW Review

HW Review. Suppose a game has a payoff matrix of: Calculate the expected values for the following strategy:. 9.2 Mixed Strategies. The Acme Chemical Corporation has two plants. A single inspector is assigned to check that the plants do not dump waste into the river.

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