Center Vortex Model for the Infrared Sector of SU(3) Yang-Mills Theory

In this talk, we review some recent results of the center vortex model for the infrared sector of SU(3) Yang-Mills theory. Particular emphasis is put on the order of the finite-temperature deconfining phase transition and the geometrical structure of vortex branchings. We also present preliminary data for the 't Hooft loop operator and the dual string tension near the phase transition.Comment: 3 pages, 7 .eps figures, talk given by M.Q. at 6th Conference on Quark Confinement and the Hadron Spectrum, Villasimius, Sardinia, Italy, 21-25 Sep 200

Exploring the limits of incentive compatibility and allocative efficiency in complex economic environments

In this dissertation auction formats are developed and discussed that focus on three specific economic environments. Regarding the impossibility results from mechanism design, the main task for the implementation of auction designs is to balance allocative efficiency and incentive compatibility – the main characteristics a mechanism should provide. Therefore, the dissertation investigates the limits of conceivable relaxations of allocative efficiency and incentive compatibility for complex settings such as double auctions, interdependent-valuation environments and electricity market designs. The overall aim is to carefully weigh up the advantages and disadvantages for either relaxing allocative efficiency or respectively incentive compatibility.:Preface … 7 1. Introduction … 8 1.1. Applications of auction design … 8 1.2. Optimal use of information in allocation processes … 12 1.3. Modeling non-cooperative situations … 14 1.4. Motivation for the dissertation … 16 2. An Incentive Compatible Double Auction for Multi-Unit Markets with Heterogeneous Goods … 21 2.1. Introduction into double auctions … 21 2.2. Setting of a multi-unit market with heterogeneous goods … 25 2.3. Concept of the Incentive Compatible Double Auction (ICDA) … 29 2.4. Definition of the allocation rule … 31 2.5. Creation of the price vector and the trading bundles … 37 2.6. Characteristics of the Incentive Compatible Double Auction (ICDA) … 40 2.7. Discussion of the properties of the Incentive Compatible Double Auction (ICDA) … 43 3. An Alternating-Price Auction for Interdependent-Valuation Environments … 46 3.1. Introduction into ex-post efficient auction design … 46 3.2. Setting of an interdependent-valuation environment … 50 3.3. Concept of the Alternating-Price Auction (APA) … 54 3.4. Characteristics of the Alternating-Price Auction (APA) 62 3.5. Discussion of the properties of the Alternating-Price Auction (APA) … 64 4. Facilitating Short-Term and Long-Term Efficiency with an Integrated Electricity Market Design … 66 4.1. Introduction into electricity market designs … 66 4.2. Setting of an electricity market … 72 4.3. Concept of the Integrated Electricity Market Design (IEMD) … 78 4.4. Characteristics of the Integrated Electricity Market Design (IEMD) … 88 4.5. Discussion of the properties of the Integrated Electricity Market Design (IEMD) … 91 5. Conclusion ... 94 Reference List … 9