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In game theory, a deadlock is a situation in which two or more players (or agents) are unable to reach an agreement or make progress because each party is waiting for the other to take action or make a concession. This concept is often used in the context of strategic interactions where competing interests prevent resolution. A classic example of a deadlock can be observed in negotiations, such as labor disputes or political negotiations, where each party holds firm on their position, leading to a standstill.
Crab mentality is a metaphor that describes a phenomenon where individuals within a group pull down or undermine those who are trying to succeed or rise above their current situation. The term originates from the behavior of crabs in a bucket, where if one crab tries to escape, the others will often pull it back down instead of allowing it to escape.
Cournot competition is an economic model that describes anindustry in which firms compete on the quantity of output they decide to produce, assuming that their competitors' output levels will remain constant. The model was developed by the French economist Antoine Cournot in 1838. In a Cournot competition setting, firms choose their output levels simultaneously and independently. Each firm makes its decision based on the assumption of how much output the other firms will produce.
A coordination game is a type of game in game theory where players benefit from making the same choices or coordinating their strategies. In these games, the players have a common interest in achieving a particular outcome, meaning their success hinges on their ability to align their actions with one another. Key characteristics of coordination games include: 1. **Multiple Equilibria**: Coordination games often have multiple equilibria, meaning there are several outcomes that players can coordinate on.
"Chicken" is a concept that appears in various contexts, including games, social psychology, and decision theory. In the most common usage, Chicken refers to a type of game in game theory that involves two players driving towards each other on a collision course. The objective is to see who will swerve or back down first. The player who swerves is deemed the 'chicken', while the player who stays the course, risking a collision, is considered braver.
The Centipede game is a classic arcade video game that was originally developed by Atari and released in 1980. It combines elements of shooting and strategy and is well known for its colorful graphics and fast-paced gameplay. In the game, players control a small shooter located at the bottom of the screen and must shoot at a centipede that descends from the top of the screen down towards the player.
The Blotto game is a strategic game in game theory that involves players allocating resources across multiple contests or locations in an effort to win these contests. The classic version of the game typically involves two players who have a set amount of resources (often represented as "troops" or "points") that they can allocate to a finite number of contests. Each player must distribute their resources simultaneously without knowing the other's allocation.
Bertrand competition is a model of competition among firms that sell identical or homogeneous products. It is named after the French economist Joseph Bertrand, who introduced this concept in the 19th century. The key features of Bertrand competition include: 1. **Price Competition**: In this model, firms compete primarily by setting prices rather than quantities. Each firm assumes that its competitors' prices will remain stable while it changes its own price.
The Beer Distribution Game, often referred to simply as the "Beer Game," is a simulation game developed in the 1960s at the MIT Sloan School of Management. It is designed to demonstrate the challenges of supply chain management, particularly focusing on issues related to inventory management and the bullwhip effect. ### Game Structure The game typically involves four different roles that participants assume: 1. **Retailer**: The player managing inventory directly with consumers.
The "Battle of the Sexes" is a classic example in game theory that illustrates a coordination problem between two players who prefer different outcomes but still want to coordinate their actions. The game highlights the tension between individual preferences and the benefit of cooperation.
Subjective logic is a formal framework for reasoning about uncertain and subjective information. It extends traditional logic by incorporating degrees of belief, uncertainty, and trust, allowing for a more nuanced representation of knowledge that reflects the complexities of real-world reasoning. The main components of subjective logic include: 1. **Belief Degrees:** Instead of simply being true or false, propositions can have associated degrees of belief, uncertainty, and disbelief. This allows users to express how confident they are about certain claims.
Schrödinger logic is a conceptual framework that arises from the intersection of quantum mechanics and logic, often associated with the philosophical implications of quantum superposition and the nature of reality as described by quantum theory. The term itself is often linked to thought experiments like Schrödinger's cat, which illustrate the counterintuitive nature of quantum states—where particles can exist in multiple states simultaneously until measured.
Relevance logic, also known as relevant logic, is a type of non-classical logic that seeks to address certain shortcomings of classical logic, especially concerning implications and entailment relationships. In classical logic, an implication (if \( P \), then \( Q \)) can be true even if \( P \) and \( Q \) are unrelated, as long as \( P \) is false or \( Q \) is true. This can lead to paradoxical results and irrelevant conclusions.
The rational consequence relation is a concept in non-monotonic logic, particularly within the field of formal logic. To understand it, we first need to discuss the underlying principles of consequence relations in general. 1. **Consequence Relation**: Typically, a consequence relation is a relation that determines when a statement (or what is derived from a set of premises) logically follows from a given set of premises.
Probabilistic Logic Networks (PLNs) are a type of statistical model that combines principles from logic programming and probabilistic reasoning. They are designed to handle uncertainty in knowledge representation and reasoning, allowing for both deterministic logic and probabilistic inference to coexist. ### Key Features of Probabilistic Logic Networks: 1. **Logical Structure**: PLNs typically involve a set of logical statements or predicates that represent knowledge about a domain. These predicates can be true or false, similar to traditional logic programming.
Probabilistic logic is a framework that combines elements of probability theory and classical logic to deal with uncertainty in reasoning. It provides a way to represent and reason about uncertain information and events in a structured manner. The core idea is to assign probabilities to propositions or logical statements, allowing for a nuanced interpretation of truth values. ### Key Features of Probabilistic Logic 1.
Plausible reasoning is a type of reasoning that relies on likelihood, credibility, or plausibility rather than certainty or absolute proof. It involves making inferences based on what is reasonable to believe given the available evidence, while acknowledging that these conclusions may not be definitively true. Plausible reasoning is often used in everyday decision-making, problem-solving, and situations where information is incomplete or ambiguous.
Noneism is a philosophical position regarding the existence of non-existent objects. The term is often associated with the work of philosopher Richard Routley (also known as Sylvan), who developed the ideas in the 1970s. Noneism posits that although certain objects, such as fictional characters or mythical beings, do not exist in a tangible sense, we can still meaningfully talk about them and refer to them.
Pinned article: Introduction to the OurBigBook Project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. - Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact





