(B). Position T receives rT = 150 clicks per day, positio n B receives xB = 50 clicks per day. There are five bidders ralues per click: vị = 12, v2 = 10, v3 = 7, v4 = 5, v5 = 3. - %3D |3| erify whether bidding your value will be an equilibrium of t ind an equilibrium of the GSP auction (Google) with the m ind an equilibrium of the GSP auction (Google) with the m ind the equilibrium of the Vickrey auction (Facebook). Cale

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter17: Making Decisions With Uncertainty
Section: Chapter Questions
Problem 17.5IP
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Q2
GSP vs. Vickrey
Consider a standard position auction. There are three positions: Top (T), Middle (M) and
Bottom (B). Position T receives xT =
position B receives xB
dollar values per click: v1
150 clicks per day, position M receives xM =
100 and
50 clicks per day. There are five bidders (B1-B5) with the following
12, v2 = 10, v3 = 7, v4 = 5, v5 = 3.
%D
(a) Verify whether bidding your value will be an equilibrium of the GSP auction (Google).
(b) Find an equilibrium of the GSP auction (Google) with the maximum revenue.
(c) Find an equilibrium of the GSP auction (Google) with the minimum revenue.
(d) Find the equilibrium of the Vickrey auction (Facebook). Calculate auction revenue.
Transcribed Image Text:Q2 GSP vs. Vickrey Consider a standard position auction. There are three positions: Top (T), Middle (M) and Bottom (B). Position T receives xT = position B receives xB dollar values per click: v1 150 clicks per day, position M receives xM = 100 and 50 clicks per day. There are five bidders (B1-B5) with the following 12, v2 = 10, v3 = 7, v4 = 5, v5 = 3. %D (a) Verify whether bidding your value will be an equilibrium of the GSP auction (Google). (b) Find an equilibrium of the GSP auction (Google) with the maximum revenue. (c) Find an equilibrium of the GSP auction (Google) with the minimum revenue. (d) Find the equilibrium of the Vickrey auction (Facebook). Calculate auction revenue.
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