Sequential equilibrium is a concept from game theory, particularly in the context of dynamic games, which are games where players make decisions at various points in time, and the decisions can depend on past actions. A sequential equilibrium is an extension of the Nash equilibrium that takes into account the order of moves and the information available to players at each decision point. It considers both the strategies of players and their beliefs about the game's state.
A Strong Nash Equilibrium is a concept in game theory that extends the traditional notion of Nash equilibrium. In a typical Nash equilibrium, a set of strategies is considered stable if no single player can unilaterally change their strategy to achieve a better payoff, given the strategies of the other players. In contrast, a Strong Nash Equilibrium requires that no group of players can improve their payoff by jointly deviating from their current strategies.
A Bayesian game is a type of game in game theory that incorporates incomplete information about certain aspects of the game, particularly the preferences or types of the players. In a Bayesian game, players have private information that is not known to the other players, and this information can affect their strategies and payoffs. Key features of Bayesian games include: 1. **Types**: Each player has a type, typically representing their preferences or payoffs.
The term "Market Game" can refer to different concepts depending on the context. Here are a few interpretations: 1. **Economic Simulation Games**: These are online or video games that simulate market dynamics, allowing players to engage in trading, investment, and resource management. Players might face challenges related to supply and demand, pricing strategies, and competition. 2. **Market Theory Games**: In economics, market games are theoretical frameworks used to analyze how individuals or firms interact within a market environment.
Poisson games are a type of strategic game theory model that incorporates the idea of players arriving randomly over time, in accordance with a Poisson process. This framework can be useful for analyzing situations where players independently choose actions from a set of strategies, and the timing of when players enter the game is stochastic. In a typical Poisson game, players have a common interest or goal, but their interaction is characterized by random arrivals.
A potential game is a type of game in game theory that has certain properties making it easier to analyze the behavior of players within it. Specifically, a potential game has a potential function that captures the incentives of all players. Here’s a more detailed breakdown: 1. **Players and Strategies**: In a potential game, there are multiple players who make decisions or choose strategies. Each player aims to maximize their own payoff.
A two-player game is a type of game in which two players compete against each other. These games can be found in various formats, including board games, card games, video games, sports, and more. In two-player games, each player typically has their own set of strategies, resources, or pieces, and the outcome is determined by their decisions and actions.
"Games People Play" is a seminal book written by psychiatrist Eric Berne, published in 1964. The book is a foundational text in the field of transactional analysis, a theory of social psychology that examines interactions between individuals. In it, Berne introduces the concept of "games" — patterned, predictable, and often unconscious behaviors that people engage in during their interactions with others.
The Complexity of Cooperation typically refers to the intricate dynamics and mechanisms involved in cooperative behavior among individuals, groups, or entities across various contexts, including social, economic, biological, and technological systems. This concept often intersects with multiple academic fields, such as sociology, psychology, evolutionary biology, economics, and computer science. In a social context, cooperation may involve the ways in which people or groups work together to achieve common goals, resolve conflicts, or share resources.
The Dictator Game is a widely studied economic experiment that explores concepts of altruism, fairness, and decision-making. It involves two players: one designated as the "dictator" and the other as the "recipient." The basic structure of the game is as follows: 1. **Endowment**: The dictator is given a certain amount of resources (commonly money, but it can be points or goods in different variations of the game).
The Grim Trigger is a concept in game theory, particularly in the study of repeated games. It refers to a specific strategy employed by a player in response to the actions of their opponent. The Grim Trigger strategy is characterized by its severe punishment mechanism for any deviation from cooperative behavior. Here’s how it works: 1. **Cooperation Phase**: Players start by cooperating with each other in the repeated game.
"Impunity" is a narrative-driven video game that blends elements of adventure and thriller genres. The game typically revolves around a gripping story that involves themes of justice, moral choices, and the consequences of actions. Players often assume the role of a character facing a series of challenges, making choices that impact the story's outcome. In "Impunity," players may navigate through various environments, engage in dialogue with different characters, gather clues, and solve puzzles.
The lump of labour fallacy is an economic misconception that suggests there is a fixed amount of work available in an economy, implying that if one person gains employment, it must come at the expense of another person's job. This fallacy assumes that there is a limited amount of work to be done, leading to the belief that when jobs are created or taken away, the overall employment level remains unchanged.
Peter Aczel is a mathematician, known primarily for his work in mathematical logic, particularly in the area of set theory. He is also known for his contributions to the field of category theory. He has written various papers and articles on these topics, and he is often associated with the development of concepts in logic and set theory that have influenced both foundational mathematics and philosophical discussions around these areas.
The term "Peace War Game" typically refers to a type of simulation or strategic game that explores themes of conflict resolution, diplomacy, and the management of peacekeeping efforts. These games can take various forms, such as tabletop games, video games, or role-playing scenarios, and they often involve players taking on different roles -- such as diplomats, military leaders, or civilian representatives -- to navigate and resolve conflicts peacefully.
Chess tactics refer to short-term calculated sequences of moves that players use to gain an advantage over their opponent. Tactics typically involve direct combinations that can lead to a material advantage, checkmate, or a more favorable position. Unlike strategies, which involve long-term planning and overall principles of play, tactics are more immediate and often arise from specific positions during a game.
A chess diagram is a visual representation of a chess position on the board. It uses a grid to depict the eight ranks (1 to 8) and eight files (a to h) of a standard chessboard. Each piece is usually represented by a symbol or an image, which indicates its type (like a pawn, knight, bishop, etc.) and color (typically light or dark).
The chess endgame is the final phase of a chess game that occurs after the middlegame and follows the reduction of material on the board. In this stage, each player's pieces have been reduced significantly, often to just a few pawns and pieces, such as kings, rooks, bishops, knights, or queens. The primary focus of the endgame is to promote pawns into queens or other pieces, checkmate the opponent's king, and leverage the material advantage effectively.
"Key Square" could refer to different concepts depending on the context in which it is used. Here are a few possibilities: 1. **Mathematics and Geometry**: In some mathematical contexts, a "key square" could refer to a significant square in a mathematical grid or puzzle, like in a magic square.
UnixWorld refers to a variety of concepts and products associated with the Unix operating system and its community. While there isn't a singular, universally recognized definition for "UnixWorld," it can encompass several aspects: 1. **Unix Operating System**: Unix is a powerful, multiuser, multitasking operating system originally developed in the 1960s and 1970s at AT&T's Bell Labs. It has influenced many operating systems, including Linux, BSD, and macOS.
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