Read e-book online Game Theory and Learning for Wireless Networks. Fundamentals PDF

By Samson Lasaulce

ISBN-10: 0123846986

ISBN-13: 9780123846983

* the 1st tutorial-style publication that provides the entire correct thought on the correct point of rigor, for the instant communications engineer.

* Bridges the distance among conception and perform by means of giving examples and case experiences exhibiting how online game conception can clear up real-word problems.

* comprises algorithms and methods to enforce online game idea in instant terminals.

Written by means of top specialists within the box, video game conception and studying for instant Networks Covers how concept can be utilized to resolve typical difficulties in instant networks resembling strength regulate, source allocation or medium entry keep an eye on. With the emphasis now on selling 'green' strategies within the instant box the place energy intake is minimized, there's an further concentrate on constructing community options that maximizes using the spectrum available.

With the expansion of dispensed instant networks equivalent to wireless and the web; the frenzy to advance advert hoc and cognitive networks has ended in a substantial curiosity in using online game concept to instant communique structures. online game idea and studying for instant Networks is the 1st entire source of its sort, and is perfect for instant communications R&D engineers and graduate students.

Samson Lasaulce is a senior CNRS researcher on the Laboratory of signs and structures (LSS) at Supélec, Gif-sur-Yvette, France. he's additionally a part-time professor within the division of Physics at École Polytechnique, Palaiseau, France.

Hamidou Tembine is a professor within the division of Telecommunications at Supélec, Gif-sur-Yvette, France.

Merouane Debbah is a professor at Supélec, Gif-sur-Yvette, France. he's the holder of the Alcatel-Lucent chair in versatile radio when you consider that 2007.

  • The first instructional variety booklet that provides the entire appropriate concept, on the correct point of rigour, for the instant communications engineer
  • Bridges the space among concept and perform via giving examples and case stories displaying how online game idea can clear up genuine international source allocation difficulties
  • Contains algorithms and strategies to enforce online game concept in instant terminals

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Extra resources for Game Theory and Learning for Wireless Networks. Fundamentals and Applications

Sample text

1) • • Definition 52: Exact Potential Games (EPG) As in physics, there can be an infinite number of potential functions. What generally matters is whether one of them can be found. Alternatively, one of the following conditions can be tested: • the weighted potential game (WPG) condition: there exists a function φ such that: ∀i ∈ K, ∀s = (si , s−i ) ∈ S, ∀si ∈ Si , ui (s) − ui (si , s−i ) = wi φ(s) − φ(si , s−i ) . 2) • for some vector of positive numbers w = (w1 , w2 , . .

Clearly max{2, 0, −100} = 2. Clearly the maxmin level of player 2 can be found, which is max{1, −1} = 1. The latter utility is guaranteed by playing c1 . Therefore if the maxmin profile (r1 , c1 ) is played, player 1 is certain to obtain at least 2 and player 2 is certain to obtain at least 1. 13 Comments on the Concept of Nash Bargaining Solution We have already mentioned the importance of the Nash equilibrium, which is one building block of game theory. As will be discussed in Chapter 2, Nash equilibria can not only be interpreted as possible outcomes of interactive situations involving 37 38 CHAPTER 1 A Very Short Tour of Game Theory rational players but also as a result of some evolutionary process.

We will use the acronym QG to refer to games in which • • • utilities are quasi-concave. • Definition 48: Quasi-Concave Functions At this point, the Reny existence theorem for pure NE (Reny, 1999) can be stated. •••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••• • • • • • • • Let G be a strategic form game. If: ∀i ∈ K: Si is a compact and convex set; ui (s) is quasi• • concave in si ; and G is better-reply secure, then the game G has at least one pure NE.

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Game Theory and Learning for Wireless Networks. Fundamentals and Applications by Samson Lasaulce

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