Heat Isolators on a Vacuum Flask

The thing which makes the vacuum flask system useful is the vacuum between the two bottles. Producers of the vacuum flask try to create a perfect vacuum between the two bottles, but it is impossible. Little air goes inside, too. This situation creates my experiment and research question. There are many heat isolators so can there be any material that can be more successful in conserving the temperature of the liquid added than the vacuum flask system? To find an answer to my question, I chose 3 heat isolators (perlite, fire brick and silicone) and put them into the flasks instead of the vacuum. In order to investigate their performance and compare with the vacuum flask system, I planned four experiments. I added to the flasks different liquids, water at the different temperature and water at different amounts and measured the temperatures of the added liquids in different times. According to the results from these 4 experiments, I reach to a conclusion that these isolators couldn’t perform a better performance than vacuum in conserving the temperature of the liquid

Nash Bargaining in Ordinal Environments

We analyze the implications of Nash’s (1950) axioms in ordinal bargaining environments; there, the scale invariance axiom needs to be strenghtened to take into account all order-preserving transformations of the agents’ utilities. This axiom, called ordinal invariance, is a very demanding one. For two-agents, it is violated by every strongly individually rational bargaining rule. In general, no ordinally invariant bargaining rule satisfies the other three axioms of Nash. Parallel to Roth (1977), we introduce a weaker independence of irrelevant alternatives axiom that we argue is better suited for ordinally invariant bargaining rules. We show that the three-agent Shapley-Shubik bargaining rule uniquely satisfies ordinal invariance, Pareto optimality, symmetry, and this weaker independence of irrelevant alternatives axiom. We also analyze the implications of other independence axioms