## The Bilinear Complementarity Problem and Competitive Equilibria of Linear Economic Models |

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activity Alan Whisman algorithmic chains assigned utilities basic or subbasic basic points Bengt Holmstrom bilinear complementarity problem boundaries of U(g(i commodities compact set competitive equilibria constrained to zero constraints constructive computational theory consumption sets corresponding Debreu's assumptions defined diffeomorphic Dual Variables economic problem EQUILIBRIA OF LINEAR example is due finite and odd finite set formulation G U(g h h h household h household the choice i-adjacent i-linked i-path i-route i-subbasic i-th member initial solution l)-routes last members Lemke Lemma linear system link points Mantel matrix maximal nonredundant sequence measure zero Milnor missing an i-th natural maps noncircular nondegenerate nonlinear economies number of members number of points number of segments obtain odd number open set path-basis price vector quasi-equilibria regular value roots of simultaneous route satisfying Ax Scarf starting tableau Subbasic points subbasic solutions subset symmetric equilibrium symmetric relation Theorem utility level utility y z