Poisson geometry of parabolic bundles on Elliptic curves

The moduli space of $G$-bundles on an elliptic curve with additional flag structure admits a Poisson structure. The bivector can be defined using double loop group, loop group and sheaf cohomology constructions. We investigate the links between these methods and for the case \SL_2 perform explicit computations, describing the bracket and its leaves in detail.Comment: Final version: typos fixed, some re-organization; to appear IJ

Detecting emergent processes in cellular automata with excess information

Many natural processes occur over characteristic spatial and temporal scales. This paper presents tools for (i) flexibly and scalably coarse-graining cellular automata and (ii) identifying which coarse-grainings express an automaton's dynamics well, and which express its dynamics badly. We apply the tools to investigate a range of examples in Conway's Game of Life and Hopfield networks and demonstrate that they capture some basic intuitions about emergent processes. Finally, we formalize the notion that a process is emergent if it is better expressed at a coarser granularity.Comment: 8 pages, 6 figure

Models of Partnerships

Beside the traditional public-private dichotomy for the provision of public services, an increasing attention has been devoted to the use of public-private partnerships (PPPs). This paper compares relative inefficiencies of public provision, traditional private provision and PPPs. It also analyses the e?ect of workers’ efforts and incentives on the success of this new device.

Optimal use of scarce information: When partisan voters are socially useful

We develop a model of simultaneous and sequential voting in a committee where members do not share their private information and do not have the same preferences. When objective functions differ, an optimal order in the sequential game can be found, leading to a unique socially optimal equilibrium. Our result rationalizes the presence of biased (i.e., partisan) voters in small committees as a way of reaching social optimality.voting behaviour, private information, sequential games