Fund-raising party. Each of the 1,200 participants at a fund-raising event can choose a raffle ticket marked L or H. One ticket marked L is randomly chosen and its holder is given the prize L, and one ticket marked H is randomly chosen and its holder is given the prize H, where 0

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
Chapter18: Auctions
Section: Chapter Questions
Problem 18.1IP
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Fund-raising party. Each of the 1,200
participants at a fund-raising event can
choose a raffle ticket marked L or H. One
ticket marked Lis randomly chosen and its
holder is given the prize L, and one ticket
marked H is randomly chosen and its holder is
given the prize H, where 0 <L< H. The
preferences of each individual i over the set of
lotteries are represented by the expected
value of a Bernoulli utility function with
u(0)=0, u(H)=1, u(L)=v, where 0 < v < 1.
a) Formulate an equilibrium concept in the
spirit of this chapter.
b) What is the equilibrium if v=1/3 ?
Transcribed Image Text:Fund-raising party. Each of the 1,200 participants at a fund-raising event can choose a raffle ticket marked L or H. One ticket marked Lis randomly chosen and its holder is given the prize L, and one ticket marked H is randomly chosen and its holder is given the prize H, where 0 <L< H. The preferences of each individual i over the set of lotteries are represented by the expected value of a Bernoulli utility function with u(0)=0, u(H)=1, u(L)=v, where 0 < v < 1. a) Formulate an equilibrium concept in the spirit of this chapter. b) What is the equilibrium if v=1/3 ?
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