We consider an observer who makes a finite number of observations of an industry producing a homogeneous good, where each observation consists of the market price and firm specific production quantities.  We develop a revealed preference test (in the form of a linear program) for the hypothesis...

The single crossing property plays a crucial role in monotone comparative statics (Milgrom and Shannon (1994)), yet in some important applications the property cannot be directly assumed or easily derived.  Difficulties often arise because the property cannot be aggregated: the sum of two...

An observer makes a number of observations of an industry producing a homogeneous good.  Each observation consists of the market price, the output of individual firms and perhaps information on each firm's production cost.  We provide various tests (typically, linear programs) with which the...

This paper discusses the incentive to bundle when consumer valuations are non-additive and/or when products are supplied by separate sellers.  Whether integrated or separate, a firm has an incentive to introduce a bundle discount when demand for the bundle is more elastic than the overall...

We study price competition between firms over public list or posted prices when a fraction of consumers (termed 'bargainers') can subsequently receive discounts with some probability.  Such stochastic discounts are a feature of markets in which some consumers bargain explicitly; of markets in...

This paper examines the operation of an emissions trading scheme (ETS) in a Cournot oligopoly.  We study the impact of the ETS on industry output, price, costs, emissions, and profits.  In particular, we develop formulae for the number of emissions permits that have to be freely allocated to...

We study two platforms competing for members by investing in network quality.  Quality is complementary to the network size: the marginal utility generated by an additional member increases with the network's quality.  Platforms are imperfect substitutes: a share of the potential members are...

Search engines enable advertisers to target consumers based on the query they have entered.  In a framework with horizontal product differentiation, imperfect product information and in which consumers incur search costs, I study a game in which advertisers have to choose a price and a set of...

This paper surveys models of markets in which some consumers are "savvy" while others are not.  We discuss when the presence of savvy consumers improves the deals available to non-savvy consumers in the market (the case of search externalities), and when the non-savvy fund generous deals for...

In this paper we study price competition between firms when some consumers attempt tobargain while others buy at the public list or posted prices. Even though bargainers succeed innegotiating discounts off the list prices, their presence dampens competitive pressure in the marketby reducing the...