2012/2
Browse
Recent Submissions
Now showing 1 - 5 of 7
- ItemNote on distributive posets(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2012) Paseka, JanIn this note we study distributive posets. We discuss several notions of distributivity in posets and show their equivalence. Moreover, the Prime Ideal Theorem for Distributive Posets is shown to be equivalent with the famous Prime Ideal Theorem for Distributive Lattices using distributive ideal approach.
- ItemAxiomatic differential geometry II-1 - vector fields(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2012) Nishimura, HirokazuIn our previous paper entitled \Axiomatic di erential geometry I - towards model categories of di erential geometry", we have given a category-theoretic framework of di erential geometry. As the rst part of our series of papers concerned with di erential-geometric developments within the above axiomatic scheme, this paper is devoted to vector elds. The principal result is that the totality of vector elds on a microlinear and Weil exponential object forms a Lie algebra.
- ItemAxiomatic differential geometry I-1 - towards model cathegories of differential geometry(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2012) Nishimura, HirokazuIn this paper we give an axiomatization of di erential geometry comparable to model categories for homotopy theory. Weil functors play a predominant role.
- ItemThe health queuing game(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2012) Haugen, Kjetil K.; Bremnes, HelgeThis paper studies agent-to-agent games in competition for a free public resource. The resource is not evidently scarce, scarcity may, however, be the equilibrium outcome. The agents' attributes may di er as well as quality parameters between di erent public resources. The examples are taken from the health sector. Based on simple two-player simultaneous games of complete information, results regarding agent equilibrium quality choices are derived. Most notably, Nash equilibria of the type: very ill patients choose low quality hospitals (denoted adverse patient allocation in the paper) are demonstrated. Furthermore, it is argued that a situation characterized by patients with relatively mild diseases but large patient variability (big di erences between patients regarding the given disease) and a health system with medium competition are prime candidates for Nash equilibria characterized by such Adverse patient allocation e ects.
- ItemEstimating performance characteristics through observed nash equilibria(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2012) Haugen, Kjetil K.This article uses simple game models to investigate penalty kick shootouts in soccer. As opposed to existing research, which mainly focuses on empirical/experimental problems, the game itself is the main focus here. Interesting ndings include a proposed Nash equilibrium invariance for possible preference di erences between penalty kick Executors and Keepers as well as identi cation and demonstration of how game models may be used in order to estimate player performance characteristics through observed Nash equilibria outcomes. A non-mixed strategy Nash equilibrium is also shown to be possible with potential interesting consequences for goal keepers.