**Previous Episode: [[BDE346]]** **Next Episode: [[BDE348]]** %%Post image thumbnail below.%%  > [!abstract|no-i] **Episode Overview** **Date Aired:** [[08-01-2024]] **Title:** On Game Theory & Kinetic Friction **Episode:** 347 **Description:** This is either going to make perfect sense or I'll sound like a lunatic, but either way it'll be fun! **Link:** https://rumble.com/v59dom5-big-dig-energy-347-on-game-theory-and-kinetic-friction.html **Tags:** %%<https://historydraft.com/happened/what-happened/1-January/world>%% ## Replay %% Get embed URL then highlight and hit ALT + I%% <iframe src="https://rumble.com/embed/v571g2l/?pub=6eeyh" allow="fullscreen" allowfullscreen="" style="height:100%;width:100%; aspect-ratio: 16 / 9; "></iframe> <br> ## Greetings & Announcements 1. Happy August!  [August/Sextilis](https://omni.wikiwand.com/en/articles/Sextilis) > Whereas the emperor Augustus Caesar, in the month of Sextilis, was first admitted to the consulate, and thrice entered the city in triumph, and in the same month the legions, from the Janiculum, placed themselves under his auspices, and in the same month Egypt was brought under the authority of the Roman people, and in the same month an end was put to the civil wars; and whereas for these reasons the said month is, and has been, most fortunate to this empire, it is hereby decreed by the senate that the said month shall be called Augustus. A Dictionary of Greek and Roman Antiquities, John Murray, London, 1875 - [Calendarium](https://penelope.uchicago.edu/Thayer/E/Roman/Texts/secondary/SMIGRA*/Calendarium.html#July_and_August) ## Segments ### Game Theory [Game theory](https://omni.wikiwand.com/en/articles/Game_theory) is the study of mathematical models of strategic interactions. It can help us understand strategic decision-making in situations involving competition and/or cooperation. Similar to Framework Thinking, Game Theory provides a fallback blueprint of sorts if you need to think quickly on your feet and want to avoid making decisions or making statements driven by a panicked mental state. See: [[Using Frameworks to Dig]] Game Theory is exceptionally useful in situations where the outcome depends on the choices of multiple participants. Initially, game theory addressed two-person zero-sum games, in which a participant's gains or losses are exactly balanced by the losses and gains of the other participant. In the 1950s, it was extended to the study of non-zero-sum games, and was eventually applied to a wide range of behavioral relations. It is now an umbrella term for the science of rational decision-making in humans, animals, and computers. ([Zero-sum](https://omni.wikiwand.com/en/articles/Zero-sum_game) game is a mathematical representation in game theory and economic theory of a situation that involves two competing entities, where the result is an advantage for one side and an equivalent loss for the other.) > Knowing the other and knowing oneself, In one hundred battles no danger, > > Not knowing the other and knowing oneself, One victory for one loss, > > Not knowing the other and not knowing oneself, In every battle certain defeat > > — Sun Tzu **Nash Equilibrium** is a fundamental concept in game theory. It's a situation where no player can improve their payoff by changing their strategy, given the strategies of the other players. #### Examples of Game Theory [European Board for Digital Services publishes post-election report on the EU elections | Shaping Europe’s digital future](https://digital-strategy.ec.europa.eu/en/library/european-board-digital-services-publishes-post-election-report-eu-elections) [Commission stress tests platforms’ election readiness under the Digital Services Act | Shaping Europe’s digital future](https://digital-strategy.ec.europa.eu/en/news/commission-stress-tests-platforms-election-readiness-under-digital-services-act)  ### Static & Kinetic Friction > **Kinetic Friction:** A frictional force occurring when two surfaces come in contact with one another and tends to resist the slipping and sliding of one surface across another. To calculate kinetic friction, the formula seen below can be used. $ 𝐹𝑘=𝜇𝑘𝜂 $ Where 𝜇𝑘 is the coefficient of kinetic friction and 𝜂 is the normal force which is the contact force between the two surfaces and is measured in Newton(N). > **Static Friction:** It is a frictional force between two surfaces where one surface is at rest relative to the other surface. It varies and will depend on the applied external forces acting on the surfaces. The surfaces will continue to stay at rest until the force of static friction is overcome by the applied external forces. To calculate the maximum static friction, the formula seen below can be used. $ 𝐹𝑠(𝑚𝑎𝑥)=𝜇𝑠𝜂 $ Where 𝜇𝑠 is the coefficient of static friction and 𝜂 is the normal force. If the applied external force is less than 𝐹𝑠(𝑚𝑎𝑥) then static friction will only be equal to the value needed to keep the object at rest. If it is greater than 𝐹𝑠(𝑚𝑎𝑥) then the object must be moving, indicating that kinetic friction is involved rather than static friction. **Identifying Static Friction or Kinetic Friction:** To determine if a situation involves static or kinetic friction, the movement of objects must be considered. If objects are stationary, this indicates static friction is involved. If objects are in motion, this indicates kinetic friction is involved. You should also note that the value of kinetic friction remains constant while the value of static friction varies depending on external applied forces. %%Footer Starts Here%% --- ![[Brain Icon 1.png|center]] <b><font color="#ffffff"> <center>You might not have noticed it… but your brain did.</center> </font></b> --- ### Tags ### Linked Pages & Footnotes