Mathematics inspired by Darwin. Adaptive dynamics of dispersal and cooperation

In 1859, Charles Darwin published his theory of evolution by natural selection, the process occurring based on fitness benefits and fitness costs at the individual level. Traditionally, evolution has been investigated by biologists, but it has induced mathematical approaches, too. For example, adaptive dynamics has proven to be a very applicable framework to the purpose. Its core concept is the invasion fitness, the sign of which tells whether a mutant phenotype can invade the prevalent phenotype. In this thesis, four real-world applications on evolutionary questions are provided. Inspiration for the first two studies arose from a cold-adapted species, American pika. First, it is studied how the global climate change may affect the evolution of dispersal and viability of pika metapopulations. Based on the results gained here, it is shown that the evolution of dispersal can result in extinction and indeed, evolution of dispersalshould be incorporated into the viability analysis of species living in fragmented habitats. The second study is focused on the evolution of densitydependent dispersal in metapopulations with small habitat patches. It resulted a very surprising unintuitive evolutionary phenomenon, how a non-monotone density-dependent dispersal may evolve. Cooperation is surprisingly common in many levels of life, despite of its obvious vulnerability to selfish cheating. This motivated two applications. First, it is shown that density-dependent cooperative investment can evolve to have a qualitatively different, monotone or non-monotone, form depending on modelling details. The last study investigates the evolution of investing into two public-goods resources. The results suggest one general path by which labour division can arise via evolutionary branching. In addition to applications, two novel methodological derivations of fitness measures in structured metapopulations are given.

Using tools to help cost estimating and pricing: examination of costing model's and cost breakdown's workability and their capability to cooperative work

Tämä diplomityö käsittelee työkaluja, jotka on suunniteltu kustannusten ennakointiin ja hinnan asetantaan. Aluksi on käyty läpi perinteisen ja toimintoperusteisen kustannuslaskennan perusteita. Näiden menetelmien välisiä eroja on tarkasteltu ja toimintoperusteisen kustannuslaskennan paremmin sopivuus nykypäivän yrityksille on perusteltu. Toisena käsitellään hinnoittelu. Hinnan merkitys, hinnoittelumenetelmät ja päätös lopullisesta hinnasta on käyty läpi. Hinnoittelun jälkeen esitellään kustannusjärjestelmät ja kustannusten arviointi. Nämä asiat todistavat, että tarkat kustannusarviot ovat elintärkeitä yritykselle. Tuotteen kustannusarviointi, hinnan asetanta ja tarjoaminen ovat erittäin merkityksellisiä asioita ottaen huomioon koko projektin elinkaaren ja tulevat tuotot. Nykyään on yleistä käyttää työkaluja kustannusarvioinnissa ja joskus myös hinnoittelussa. Työkalujen luotettavuus on tiedettävä, ennenkuin työkalut otetaan käyttöön. Myös työkalujen käyttäjät täytyy perehdyttää hyvin. Muuten yritys todennäköisesti kohtaa odottamattomia ja epämiellyttäviä yllätyksiä.

Advertising in Mobile Games - A Business Model Evaluation

Tämän tutkimuksen tavoitteena oli selvittää kuinka houkuttelevan liiketoimintamahdollisuuden mobiilipelit tarjoavat mainostusalustana. Tutkimus suoritettiin tapaustutkimuksena. Tutkimus aloitettiin määrittelemällä liiketoimintamalli, jonka jälkeen suoritettiin yleinen katsaus Suomen mobiilipelimarkkinoille. Tämän jälkeen arvoketju-, arvoverkko- sekä markkina-analyysin avulla selvitettiin liiketoimintamallin mahdollisuudet sekä rajoitukset. Tutkimukseen käytettiinteorettista viitekehystä joka pohjautui Hamelin liiketoimintamalliin, Porterin arvoketjuun sekä Alleenin arvoverkoon. Tutkimuksen tuloksena todettiin, että mainostaminen mobiilipeleissä tarjoaa liiketoimintamahdollisuuden ilman esteitä sentoteuttamiselle. Suomalaiset mobiilipelimarkkinat ovat kuitenkin pirstoutuneet,minkä johdosta tutkittu 'mainosten hallinta-alusta'-liiketoimintamalli aiheuttaa liian suuret integraatiokustannukset. Myös suuri määrä pelitoimittajia heikentää mallin tehokkuutta.

Games in Education and Process Development

The aim of the thesis is to devise a framework for analyzing simulation games, in particular introductory supply chain simulation games which are used in education and process development. The framework is then applied to three case examples which are introductory supply chain simulation games used at Lappeenranta University of Technology. The theoretical part of the thesis studies simulation games in the context of education and training as well as of process management. Simulation games can be seen as learning processes which comprise of briefing, micro cycle, and debriefing which includes observation and reflection as well as conceptualization. The micro cycle, i.e. the game itself, is defined through elements and characteristics. Both briefing and debriefing ought to support the micro cycle. The whole learning process needs to support learning objectives of the simulation game. Based on the analysis of the case simulation games, suggestions on how to boost the debriefing and promote long term effects of the games are made. In addition, a framework is suggested to be used in designing simulation games and characteristics of introductory supply chain simulation games are defined. They are designed for general purposes, are simple and operated manually, are multifunctional interplays, and last about 2.5 4 hours. Participants co operate during a game run and competition arises between different runs or game sessions.

Teaching mathematics and programming : new approaches with empirical evaluation

Programming and mathematics are core areas of computer science (CS) and consequently also important parts of CS education. Introductory instruction in these two topics is, however, not without problems. Studies show that CS students find programming difficult to learn and that teaching mathematical topics to CS novices is challenging. One reason for the latter is the disconnection between mathematics and programming found in many CS curricula, which results in students not seeing the relevance of the subject for their studies. In addition, reports indicate that students' mathematical capability and maturity levels are dropping. The challenges faced when teaching mathematics and programming at CS departments can also be traced back to gaps in students' prior education. In Finland the high school curriculum does not include CS as a subject; instead, focus is on learning to use the computer and its applications as tools. Similarly, many of the mathematics courses emphasize application of formulas, while logic, formalisms and proofs, which are important in CS, are avoided. Consequently, high school graduates are not well prepared for studies in CS. Motivated by these challenges, the goal of the present work is to describe new approaches to teaching mathematics and programming aimed at addressing these issues: Structured derivations is a logic-based approach to teaching mathematics, where formalisms and justifications are made explicit. The aim is to help students become better at communicating their reasoning using mathematical language and logical notation at the same time as they become more confident with formalisms. The Python programming language was originally designed with education in mind, and has a simple syntax compared to many other popular languages. The aim of using it in instruction is to address algorithms and their implementation in a way that allows focus to be put on learning algorithmic thinking and programming instead of on learning a complex syntax. Invariant based programming is a diagrammatic approach to developing programs that are correct by construction. The approach is based on elementary propositional and predicate logic, and makes explicit the underlying mathematical foundations of programming. The aim is also to show how mathematics in general, and logic in particular, can be used to create better programs.

Playing to Learn: Business Simulation Games as Leadership Learning Environments

The aim of this dissertation is to investigate if participation in business simulation gaming sessions can make different leadership styles visible and provide students with experiences beneficial for the development of leadership skills. Particularly, the focus is to describe the development of leadership styles when leading virtual teams in computer-­supported collaborative game settings and to identify the outcomes of using computer simulation games as leadership training tools. To answer to the objectives of the study, three empirical experiments were conducted to explore if participation in business simulation gaming sessions (Study I and II), which integrate face-­to-­face and virtual communication (Study III and IV), can make different leadership styles visible and provide students with experiences beneficial for the development of leadership skills. In the first experiment, a group of multicultural graduate business students (N=41) participated in gaming sessions with a computerized business simulation game (Study III). In the second experiment, a group of graduate students (N=9) participated in the training with a ‘real estate’ computer game (Study I and II). In the third experiment, a business simulation gaming session was organized for graduate students group (N=26) and the participants played the simulation game in virtual teams, which were organizationally and geographically dispersed but connected via technology (Study IV). Each team in all experiments had three to four students and students were between 22 and 25 years old. The business computer games used for the empirical experiments presented an enormous number of complex operations in which a team leader needed to make the final decisions involved in leading the team to win the game. These gaming environments were interactive;; participants interacted by solving the given tasks in the game. Thus, strategy and appropriate leadership were needed to be successful. The training was competition-­based and required implementation of leadership skills. The data of these studies consist of observations, participants’ reflective essays written after the gaming sessions, pre-­ and post-­tests questionnaires and participants’ answers to open-­ ended questions. Participants’ interactions and collaboration were observed when they played the computer games. The transcripts of notes from observations and students dialogs were coded in terms of transactional, transformational, heroic and post-­heroic leadership styles. For the data analysis of the transcribed notes from observations, content analysis and discourse analysis was implemented. The Multifactor Leadership Questionnaire (MLQ) was also utilized in the study to measure transformational and transactional leadership styles;; in addition, quantitative (one-­way repeated measures ANOVA) and qualitative data analyses have been performed. The results of this study indicate that in the business simulation gaming environment, certain leadership characteristics emerged spontaneously. Experiences about leadership varied between the teams and were dependent on the role individual students had in their team. These four studies showed that simulation gaming environment has the potential to be used in higher education to exercise the leadership styles relevant in real-­world work contexts. Further, the study indicated that given debriefing sessions, the simulation game context has much potential to benefit learning. The participants who showed interest in leadership roles were given the opportunity of developing leadership skills in practice. The study also provides evidence of unpredictable situations that participants can experience and learn from during the gaming sessions. The study illustrates the complex nature of experiences from the gaming environments and the need for the team leader and role divisions during the gaming sessions. It could be concluded that the experience of simulation game training illustrated the complexity of real life situations and provided participants with the challenges of virtual leadership experiences and the difficulties of using leadership styles in practice. As a result, the study offers playing computer simulation games in small teams as one way to exercise leadership styles in practice.

XIIth olympic games Helsinki 1940 ticket section

36 x 41 cm