Communication Networks A Second Course Rahul Jain (Guest Lecture) Department of EECS University of...

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Communication Networks A Second Course hul Jain (Guest Lecture) partment of EECS iversity of California at Berkeley
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Transcript of Communication Networks A Second Course Rahul Jain (Guest Lecture) Department of EECS University of...

Page 1: Communication Networks A Second Course Rahul Jain (Guest Lecture) Department of EECS University of California at Berkeley.

Communication NetworksA Second Course

Rahul Jain (Guest Lecture)Department of EECSUniversity of California at Berkeley

Page 2: Communication Networks A Second Course Rahul Jain (Guest Lecture) Department of EECS University of California at Berkeley.

Network Bandwidth Exchange

Jain and Varaiya, “The Combinatorial Seller’s Bid Double Auction: An Asymptotically Efficient Market Mechanism”, JET submission, 2006

Page 3: Communication Networks A Second Course Rahul Jain (Guest Lecture) Department of EECS University of California at Berkeley.

The Framework

Page 4: Communication Networks A Second Course Rahul Jain (Guest Lecture) Department of EECS University of California at Berkeley.

A Mechanism for Indivisible Goods

Page 5: Communication Networks A Second Course Rahul Jain (Guest Lecture) Department of EECS University of California at Berkeley.

An Example

Page 6: Communication Networks A Second Course Rahul Jain (Guest Lecture) Department of EECS University of California at Berkeley.

Basics of Mechanism Design

Page 7: Communication Networks A Second Course Rahul Jain (Guest Lecture) Department of EECS University of California at Berkeley.

Nash Equilibrium Analysis

Page 8: Communication Networks A Second Course Rahul Jain (Guest Lecture) Department of EECS University of California at Berkeley.

Back to Example

ak=min {ck+1,vk }

Page 9: Communication Networks A Second Course Rahul Jain (Guest Lecture) Department of EECS University of California at Berkeley.

Every Nash Equilibrium is efficient

Page 10: Communication Networks A Second Course Rahul Jain (Guest Lecture) Department of EECS University of California at Berkeley.

The Network Case

Page 11: Communication Networks A Second Course Rahul Jain (Guest Lecture) Department of EECS University of California at Berkeley.

Bayesian-Nash Equilibrium

Page 12: Communication Networks A Second Course Rahul Jain (Guest Lecture) Department of EECS University of California at Berkeley.

Step 1

Page 13: Communication Networks A Second Course Rahul Jain (Guest Lecture) Department of EECS University of California at Berkeley.

Step 2

Page 14: Communication Networks A Second Course Rahul Jain (Guest Lecture) Department of EECS University of California at Berkeley.

Step 2, contd.

Page 15: Communication Networks A Second Course Rahul Jain (Guest Lecture) Department of EECS University of California at Berkeley.

Putting it together