Recently, a Competitive Exception Learning Algorithm (CELA) was introduced [1, 2]. This algorithm establishes an optimal mapping from a (continuous) M-dimensional input sample space to an N-dimensional (continuous) output sample space. CELA is aimed to discover regimes (i.e. local behavior in...

Suppliers often make proactive investments in capacity to strategically position themselves to win a contract with a monopolist buyer. Such investments reduce the suppliers' variable costs of serving the buyer's demand. We show that an auction mechanism does not always benefit the...