Dogville or an illustration of some properties of general equilibrium

Lars von Trier's movie 'Dogville' illustrates some illuminating and poignant comparative statics of equilibrium allocations, according to Heike Harmgart and Steffen Huck

The miracle as a randomization device: a lesson from Richard Wagner's romantic opera Tannhauser und der Sankerkrieg auf Wartburg

In this paper we provide textual evidence on the sophistication of medieval deterrence strategies. Drawing on one of the great opera librettos based on medieval sources, Wagner’s Tannhäuser, we shall illustrate the use of optimal randomization strategies that can be derived by applying notions of dominance or trembling-hand perfection. Particular attention is paid to the employed randomization device

“Though this be madness, yet there is method in’t.” A counterfactual analysis of Richard Wagner’s Tannhäuser

Much like Wagner himself, the eponymous hero of Tannhäuser treads a path of stark contrasts and rapid swings. From Wartburg to the Venusberg and to the Vatican, the gifted bard transforms from self-centered artist to seduced disciple, disillusioned devotee, hopeful lover, self-loathing pilgrim and finally redeemed martyr. He tries everything and everything is trying. These contrasts reach a peak in the opera‟s central episode, the song contest at Wartburg. Tannhäuser has just been welcomed at the court, received Elisabeth‟s favor and affection, and is ready to compete for the contest‟s prize, one as lofty as possibly the princess‟ hand. Instead of securing his reintegration to Wartburg with a brilliant performance, however, he spoils the event with insolent remarks and the exhibitionist disclosure of his Venusberg experience. His behavior offends his peers, scandalizes the court, breaks Elisabeth‟s heart, and brings him to the edge of death. Why would Tannhäuser sacrifice everything for nothing

Learning trust

We examine the effects of different forms of feedback information on the performance of markets that suffer from moral hazard problems due to sequential exchange. As orthodox theory would predict, we find that providing buyers with information about sellers' trading history boosts market performance. More surprisingly, this beneficial effect of incentives for reputation building is considerably enhanced if sellers, too, can observe other sellers' trading history. This suggests that two-sided market transparency is an important ingredient for the design of well-functioning markets that are prone to moral hazard

Forbidden subgraphs that imply Hamiltonian-connectedness

It is proven that if $G$ is a $3$-connected claw-free graph which is also $Z_3$-free (where $Z_3$ is a triangle with a path of length $3$ attached), $P_6$-free (where $P_6$ is a path with $6$ vertices) or $H_1$-free (where $H_1$ consists of two disjoint triangles connected by an edge), then $G$ is Hamiltonian-connected. Also, examples will be described that determine a finite family of graphs $\cal{L}$ such that if a 3-connected graph being claw-free and $L$-free implies $G$ is Hamiltonian-connected, then $L\in\cal{L}$. \u