Constructing categories and setoids of setoids in type theory

In this paper we consider the problem of building rich categories of setoids, in standard intensional Martin-L\"of type theory (MLTT), and in particular how to handle the problem of equality on objects in this context. Any (proof-irrelevant) family F of setoids over a setoid A gives rise to a category C(A, F) of setoids with objects A. We may regard the family F as a setoid of setoids, and a crucial issue in this article is to construct rich or large enough such families. Depending on closure conditions of F, the category C(A, F) has corresponding categorical constructions. We exemplify this with finite limits. A very large family F may be obtained from Aczel's model construction of CZF in type theory. It is proved that the category so obtained is isomorphic to the internal category of sets in this model. Set theory can thus establish (categorical) properties of C(A, F) which may be used in type theory. We also show that Aczel's model construction may be extended to include the elements of any setoid as atoms or urelements. As a byproduct we obtain a natural extension of CZF, adding atoms. This extension, CZFU, is validated by the extended model. The main theorems of the paper have been checked in the proof assistant Coq which is based on MLTT. A possible application of this development is to integrate set-theoretic and type-theoretic reasoning in proof assistants.Comment: 14 page

Entertainment design : Teollinen muotoilija viihdeteollisuudessa

Opinnäytetyössä käsitellään muotoilun metodien sovellusta viihdeteollisiin tuotteisiin - pääasiassa videopeleihin ja elokuva/tv-tuotantoihin. Teoriaosuus pitää sisällään lyhyen historian muotoilun saapumisesta elokuvateollisuuteen, sekä sen vaikutuksesta alalla tänä päivänä. Osuuteen sisältyy myös case-esimerkkejä maailmalla tunnettujen konseptimuotoilijoiden työstä viihdealalla. Käytännön osuudessa toteutan viihdepelin konseptisuunnitelman yhteistyössä Triplebit Oy:n kanssa. Tehtäväni projektissa sisältävät entertainment design alan lähes koko spektrin taiteellisesta suunnittelusta pelimekaniikkoihin. Tuotannon ajan ohjaan myös Kuopion musiikin ja tanssin yksikön opiskelijaryhmää, joka toteuttaa projektiin äänisuunnittelua. Tämän laajuuden vuoksi osuus ottaa niinsanotun designdokumentin muodon, jossa käyn läpi prosessin, sekä pelin suunnittelupäätökset.This thesis deals with applied design inside the field of entertainment industry - mainly in video gaming and film industries. In the theory section of this work I explain the concept, and outline the brief history of entertainment design, and walk the reader through select case examples by notable entertainment design professionals. In the applied theory section I design and execute, alongside my client Triplebit Ltd., the pre-production concept phase of a mobile game project. My work in this project contains a wide array of tasks inside the entertainment design field; art direction and game design, in addition to leading a team of students from Kuopio academy of music and dance. The practice section takes the form of a game design document, where I explain the full design of the game both visually and in terms of game mechanics

Demand and Distance: Evidence on Cross-Border Shopping

While many studies have documented deviations from the Law of One Price in international settings, evidence is scarce on the extent to which consumers take advantage of price differentials and engage in cross border shopping. We use data from 287 Swedish municipalities to estimate how responsive alcohol sales are to foreign prices, and relate the sensitivity to the location’s distance to the border. Typical results suggest that the elasticity with respect to the foreign price is around 0.4 in the border region; moving 200 (400) kilometers inland reduces it to 0.2 (0.1). Given that cross country price differences for alcohol and other products are often caused by taxes, our evidence has implications for the debate on tax competition/harmonization.Law of one price; tax competition; tax harmonization; cross border shopping; European integration.

State Dependent Pricing and Exchange Rate Pass-Through

We analyze exchange rate pass-through and volatility of import prices in a dynamic framework where firms are subject to menu costs and decide on price adjustments in response to exchange rate innovations. The exchange rate pass-through and import price volatility then depend on the pricing convention in combination with functional forms of cost and demand functions. In particular, there is lower pass-through, less frequent price adjustments, lower price volatility, and slightly lower average prices when prices are set in the importers currency than when prices are set in the exporters currency. The degree of pass-through also depends on the magnitude of exchange rate innovations. Large exchange rate innovations raise pass-through if prices are set in the importers currency but reduce pass-through if prices are set in the exporters currency. Finally, the presence of inflation can generate a substantial asymmetry in price adjustments. This asymmetry could lead to pitfalls when empirically estimating pass-through, and we present some potential resolutions to this estimation problem

Price setting transactions and the role of denominating currency in FX markets

This report, commissioned by Sveriges Riksbank, examines the role of currency denomination in international trade transactions. It is divided in two parts. The first part consists of a survey of the price setting and payment practices of a large sample of Swedish exporting firms. The second part analyzes payments data from the Swedish settlement reports from 1999-2002. We examine whether invoicing patterns of Swedish and European companies changed following the creation of the EMU and how the currency denomination of exports differ from that of imports. Finally we consider the possibility that changes in invoicing patterns are correlated with changes in nominal exchange rates. Our main finding is that the same currency to a large extent is used for price setting, invoicing and payment for exports to third parties. We also find that the currency of the customer is the most used and that the euro is replacing the Swedish krona both in transactions with EMU-member countries but outside the EMU. Finally we find some evidence of a weak correlation between aggregate changes in invoicing patterns and changes in the trade weighted exchange rate over the period 1999-2002

Demand and distance: Evidence on cross-border shopping

While many studies have documented deviations from the Law of One Price in international settings, evidence is scarce on the extent to which consumers take advantage of price differentials and engage in cross border shopping. We use data from 287 Swedish municipalities to estimate how responsive alcohol sales are to foreign prices, and relate the sensitivity to the location's distance to the border. Typical results suggest that the elasticity with respect to the foreign price is around 0.4 in the border region; moving 200 (400) kilometers inland reduces it to 0.2 (0.1). Given that cross country price differences for alcohol and other products are often caused by taxes, our evidence has implications for the debate on tax competition/harmonization

Recovery from acidification of lakes in Finland, Norway and Sweden 1990?1999

International audienceSulphate deposition has decreased by about 60% in the Nordic countries since the early 1980s. Nitrogen deposition has been roughly constant during the past 20 years, with only a minor decrease in the late 1990s. The resulting changes in the chemistry of small lakes have been followed by national monitoring programmes initiated in the 1980s in Finland (163 lakes), Norway (100 lakes) and Sweden (81 lakes). These lakes are partly a subset from the survey of 5690 lakes in the Northern European lake survey of 1995. Trend analyses on data for the period 1990-1999 show that the non-marine sulphate concentrations in lakes have decreased significantly in 69% of the monitored lakes. Changes were largest in lakes with the highest mean concentrations. Nitrate concentrations, on the other hand, were generally low and showed no systematic changes. Concentrations of non-marine base cations decreased in 26% of the lakes, most probably an ionic-strength effect due to the lower concentrations of mobile strong-acid anions. Acid neutralising capacity increased in 32% of the lakes. Trends in recovery were in part masked by large year-to-year variations in sea-salt inputs and by increases in total organic carbon concentrations. These changes were most probably the result of climatic variations. Nordic lakes, therefore, show clear signs of recovery from acidification. Recovery began in the 1980s and accelerated in the 1990s. Reductions in sulphur deposition are the major "driving force" in the process of recovery from acidification. Further recovery can be expected in the next 10 years if the Gothenburg protocol on emissions of acidifying pollutants is implemented. Keywords: Nordic countries, sulphur deposition, lakes, recover

The Swedish monitoring of surface waters: 50 years of adaptive monitoring

For more than 50 years, scientific insights from surface water monitoring have supported Swedish evidence-based environmental management. Efforts to understand and control eutrophication in the 1960s led to construction of wastewater treatment plants with phosphorus retention, while acid rain research in the 1970s contributed to international legislation curbing emissions. By the 1990s, long-time series were being used to infer climate effects on surface water chemistry and biology. Monitoring data play a key role in implementing the EU Water Framework Directive and other legislation and have been used to show beneficial effects of agricultural management on Baltic Sea eutrophication. The Swedish experience demonstrates that well-designed and financially supported surface water monitoring can be used to understand and manage a range of stressors and societal concerns. Using scientifically sound adaptive monitoring principles to balance continuity and change has ensured long-time series and the capability to address new questions over time

Chemistry of lakes in the Nordic region - Denmark, Finland with Åland, Iceland, Norway with Svalbard and Bear Island, and Sweden

This report presents the first common evaluation of water chemistry in the Nordic countries (except for the Faroe Islands and Greenland): Denmark, Finland including Åland, Iceland, Norway including Svalbard and Bear Island, and Sweden. The Nordic countries exhibit large gradients in many chemical constituents in lake water, from Iceland in the west, Svalbard and Bear Island in the north via Denmark to Sweden, Finland and Norway, due to large differences in geology, hydrology, vegetation and air pollution. The data are interpreted relative to these factors