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Games in Extensive Form

João P. Hespanha

in Noncooperative Game Theory: An Introduction for Engineers and Computer Scientists

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175218
eISBN:
9781400885442
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175218.003.0007
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter discusses a number of key concepts for extensive form game representation. It first considers a matrix that defines a zero-sum matrix game for which the minimizer has two actions and the ... More


Stochastic Policies for Games in Extensive Form

João P. Hespanha

in Noncooperative Game Theory: An Introduction for Engineers and Computer Scientists

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175218
eISBN:
9781400885442
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175218.003.0008
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter discusses two types of stochastic policy for extensive form game representation as well as the existence and computation of saddle-point equilibrium. For games in extensive form, a mixed ... More


Mixed Policies

João P. Hespanha

in Noncooperative Game Theory: An Introduction for Engineers and Computer Scientists

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175218
eISBN:
9781400885442
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175218.003.0004
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter explores the concept of mixed policies and how the notions for pure policies can be adapted to this more general type of policies. A pure policy consists of choices of particular actions ... More


Zero-Sum Matrix Games

João P. Hespanha

in Noncooperative Game Theory: An Introduction for Engineers and Computer Scientists

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175218
eISBN:
9781400885442
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175218.003.0003
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter discusses a number of key concepts for zero-sum matrix games. A zero-sum matrix game is played by two players, each with a finite set of actions. Player 1 wants to minimize the outcome ... More


Computation of Mixed Saddle-Point Equilibrium Policies

João P. Hespanha

in Noncooperative Game Theory: An Introduction for Engineers and Computer Scientists

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175218
eISBN:
9781400885442
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175218.003.0006
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter focuses on the computation of mixed saddle-point equilibrium policies. In view of the Minimax Theorem, the mixed saddle-point equilibria can be determined by computing the mixed security ... More


State-Feedback Zero-Sum Differential Games

João P. Hespanha

in Noncooperative Game Theory: An Introduction for Engineers and Computer Scientists

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175218
eISBN:
9781400885442
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175218.003.0018
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter focuses on the computation of the saddle-point equilibrium of a zero-sum continuous time dynamic game in a state-feedback policy. It begins by considering the solution for two-player ... More


State-Feedback Zero-Sum Dynamic Games

João P. Hespanha

in Noncooperative Game Theory: An Introduction for Engineers and Computer Scientists

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175218
eISBN:
9781400885442
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175218.003.0017
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter focuses on the computation of the saddle-point equilibrium of a zero-sum discrete time dynamic game in a state-feedback policy. It begins by considering solution methods for two-player ... More


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