Non-Cooperative Asymptotic Oligopoly in Economies with Infinitely Many Commodities

In this paper, we extend the non-cooperative analysis of oligopoly to exchange economics with infinitely many commodities by using strategic market games. This setting can be interpreted as a model of oligopoly with differentiated commodities by using the Hotelling line. We prove the existence of an "active" Cournot-Nash equilibrium and show that, when traders are replicated, the price vector and the allocation converge to the Walras equilibrium. We examine how the notion of oligopoly extends to our setting with a countable infinity of commodities by distinguishing between asymptotic oligopolists and asymptotic price-takes. We illustrate these notions via a number of examples.

Values, Multiculturalism and Representations

The theory of values is underdeveloped within economics with very few theoretical models explaining how values are created and propagated through a population. Those models that do exist are limited in how well they explain the role of values and how they behave. This paper argues that the theory of values needs to be fundamentally rethought, incorporating basic ideas from psychology, anthropology and philosophy that have largely been ignored in the literature. The resulting model is applied to answer some fundamental issues surrounding the notion of multiculturalism.

Representations and the Corruption of Goods

The traditional view of the economic agent is of an individual who is self-interested, rational and perceives the world “correctly”. However, there is a lot of experimental and other evidence that undermines this view of agents. It is argued that an attempt to model these agents properly requires the cognitive science idea of a mental representation- a mental state with content. It is shown that this idea gives economists resources to discuss critiques of economics by Sandel (2012) and Grant (2012). In particular, it allows us to think clearly about the notion of goods being “corrupted” by a change in context from a non-market to a market situation.