A Spatial Model of Perfect Competition

This paper employs the theory of strategic market games (enhanced with a spatial dimension) in order to study the issue of market location in a perfectly competitive setup. In this framework, each player decides strategically where and what quantities she wishes to trade and, hence, the market structure (or simply the distribution of the active trading posts and prices) emerges endogenously. We conduct a comprehensive analysis for a class of simple games with a continuum of traders and we show that (i) not all market structures can support a Nash equilibrium, (ii) at least some multi-market structures can support a Nash equilibrium and (iii) prices in a multi-market Nash equilibrium, generically, diverge.