The authors present a new approach to the theory of imperfect competition and apply it to study price competition among differentiated products. The central result provides general conditions for existence and uniqueness of a pure-strategy price equilibrium given any number of firms producing...

A celebrated result of D. Black (1948) demonstrates the existence of a simple-majority winner when preferences are single-peaked. This paper provides a multidimensional analog of Black's median voter result. The authors provide conditions under which the mean voter's most preferred outcome is...