We consider the problem of maximizing the revenue from selling a number of goods (or items). In this talk we will focus on approximation results and on the "menu-size" as a measure of auction complexity which affects the revenue. * All the relevant concepts will be introduced in the talk.* The talk is mostly independent of the talk given earlier this year.

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Paper 2

Guided by several key examples, we formulate a definition of essential sequential equilibrium for multi-stage games with infinite type sets and infinite action sets, and we prove its general existence.

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