2,556 research outputs found
Core stable bidding rings in independent private value auctions with externalities
We consider a second price auction between bidders with independently and identically distributed valuations, where a losing bidder suffers a negative direct externality. Considering ex-ante commitments to form bidding rings we study the question of core stability of the grand coalition, namely: is there a subset of bidders that prefers forming a small bidding ring rather than participating in the grand cartel? We show that in the presence of direct externalities between bidders the grand coalition is not necessarily core stable, as opposed to the zero externality case, where the stability of the grand coalition is a known result. Finally, we study collusion in auctions as a mechanism design problem, insisting on the difficulty to compare ex-ante and interim commitments. In particular, we show that there are situations in which bidders prefer colluding before privately learning their types.Auctions; collusion; externalities; Bayesian games; core; partition function game; mechanism design.
Core stable bidding rings in independent private value auctions with externalities
We consider a second price auction between bidders with independently and identically distributed valuations, where a losing bidder suffers a negative direct externality. Considering ex-ante commitments to form bidding rings we study the question of core stability of the grand coalition, namely: is there a subset of bidders that prefers forming a small bidding ring rather than participating in the grand cartel? We show that in the presence of direct externalities between bidders the grand coalition is not necessarily core stable, as opposed to the zero externality case, where the stability of the grand coalition is a known result. Finally, we study collusion in auctions as a mechanism design problem, insisting on the difficulty to compare ex-ante and interim commitments. In particular, we show that there are situations in which bidders prefer colluding before privately learning their types.Auctions;collusion;externalities;Bayesian games;core; partition function game;mechanism design
The Lagrangian Cubic Equation
Let be a closed symplectic manifold and a Lagrangian
submanifold. Denote by the homology class induced by viewed as a
class in the quantum homology of . The present paper is concerned with
properties and identities involving the class in the quantum homology
ring. We also study the relations between these identities and invariants of
coming from Lagrangian Floer theory. We pay special attention to the case
when is a Lagrangian sphere.Comment: 57 pages, 5 figure
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