Financial and Actuarial Mathematics: Time Table ------------------------------------------------------------------------ PV Schachermayer (Tuesday 16:30-18:00, TU FH, Turm B, 2.Stock, HS 8) 19.12.2000 - Jan Werner: Implementing Arrow-Debreu Equilibria by Trading Infinitely-Lived Securities
Abstract: We show that Arrow-Debreu equilibria with countably additive prices in infinite-time economy under uncertainty can be implemented by trading infinitely-lived securities in complete sequential markets under two different portfolio feasibility constraints: wealth constraint, and bounded borrowing constraint. Sequential equilibria with no price bubbles implement Arrow-Debreu equilibria, while those with price bubbles implement Arrow-Debreu equilibria with transfers. The transfers are given by the value of price bubbles on initial portfolio holdings. Price bubbles may arise in sequential equilibrium under the wealth constraint, but not under the bounded borrowing constraint.