fFirst Printing Errata: At the end of the first paragraph insert:

Assume throughout that conditions are such that (23. C. 8) holding is a condition for (k*(-),t1(•)»...•)j) to be truthfully

implementable in dominant strategies." Also, in the second line of part c)

insert the word "implementable" before "ex post efficient social choice function".]

a) Sufficiency: Suppose. that we can write V*(0) - Ei^i^ i)m Consider the transfer functions of the form tL(B) - [l Vj <**(»),fj)] + \

where for all i,

By proposition 23.C.4, (k*(•).•),...,t(•K) is truthfully implementable in

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