Ariel Rubinstein is an Israeli economist and game theorist known for his significant contributions to the fields of economics and game theory. He has worked on various topics including rationality, bargaining, and strategic interactions. Rubinstein is also recognized for his role in the development of concepts such as extensive-form games and perfect equilibrium. In addition to his academic work, he has published extensively and has been involved in discussions about the foundations of economic theory and the implications of game theory in real-world scenarios.
Robin Farquharson does not appear to be a widely recognized public figure or a prominent entity based on available information up to October 2023. It is possible that he could be a private individual or a lesser-known person in a specific field.
Steven J. Brams is an American political scientist, game theorist, and professor known for his work in the fields of political science, game theory, and decision-making. He is particularly noted for his contributions to voting theory, fair division, and strategic behavior. Brams has developed various models and methods for analyzing and improving political processes and decision-making systems. He has published numerous papers and books on these subjects, including works on fair division, which focus on how to allocate resources fairly among individuals.
Thomas Schelling (1921-2021) was an American economist and Nobel laureate known for his work in game theory, bargaining, and strategic decision-making. He was awarded the Nobel Prize in Economic Sciences in 2005 for his analysis of conflict and cooperation through game-theoretic concepts. Schelling's most notable contributions include his work on the dynamics of segregation in societies, as outlined in his influential book "Micromotives and Macrobehavior," published in 1978.
The Ultimatum Game is a classic experiment in economics and psychology that demonstrates the concepts of fairness, negotiation, and decision-making in social situations. It involves two players: 1. **The Proposer**: This player is given a specific amount of money (or another resource) and makes an offer on how to split that amount with the second player.
A bimatrix game is a type of game in game theory that involves two players, each of whom has a finite set of strategies. The outcomes of their choices are represented in the form of a matrix (or two matrices) that captures the payoffs for each combination of strategies chosen by the players. In a bimatrix game, the strategies of the two players can be represented as follows: - Player 1's strategies are represented in one matrix (let's call it Matrix A).
The Folk theorem is a concept in game theory that describes conditions under which cooperation can emerge as a stable strategy in repeated games. Specifically, it states that in infinitely repeated games with a finite set of players, if the game's stage payoffs are sufficiently high, then any feasible payoff that is individually rational can be sustained as a Nash equilibrium through a strategy that involves punishment for deviations from cooperation.
M equilibrium refers to a specific type of equilibrium in various contexts, but it most commonly relates to chemical equilibria or economic models. Here are two interpretations of M equilibrium: 1. **Chemical Equilibrium**: In the context of chemistry, M equilibrium could refer to a state in a chemical reaction where the concentrations of reactants and products remain constant over time. At this point, the rate of the forward reaction equals the rate of the reverse reaction.
Pooling equilibrium is a concept from game theory and economics, particularly in the context of signaling games. It occurs when different types of players (or agents) in a market send the same signal, making it impossible for observers (or other players) to differentiate between them based on that signal. In a pooling equilibrium, all players choose the same action or strategy, so their different types (e.g.
"Udayana" can refer to several different things, depending on the context: 1. **Udayana University**: A private university located in Bali, Indonesia. It offers a range of academic programs across various fields of study. 2. **Udayana in History**: In historical and cultural contexts, "Udayana" may refer to prominent figures or localities in South Asian history, particularly in reference to ancient or medieval rulers, scholars, or notable personalities.
Quantal Response Equilibrium (QRE) is a concept in game theory used to model decision-making under uncertainty, particularly in situations where players may not choose their strategies purely rationally. The idea is that players will respond probabilistically to their payoffs, reflecting some level of bounded rationality or cognitive limitations. In traditional Nash Equilibrium, players choose their strategies to maximize their payoffs given the strategies of others, assuming that they make fully rational decisions.
"Co-opetition" is a business strategy concept that combines elements of cooperation and competition, and it is also the title of a book written by Adam M. Brandenburger and Barry J. Nalebuff, published in 1996. The authors introduce the idea that companies can benefit from cooperating with each other while still maintaining competitive edges. The book outlines how businesses can create value in markets by understanding and managing the interplay between cooperative and competitive strategies.
The Gift-exchange game is a concept used in economics and social science to study the dynamics of reciprocity, trust, and social norms within interactions between individuals. It is typically framed as a specific type of game in experimental economics, where participants make decisions involving gifts or resources to one another. Here’s a basic outline of how the Gift-exchange game typically works: 1. **Players**: There are generally two players involved: a "giver" and a "receiver.
An N-player game is a type of strategic game in which multiple players (N) participate, each making decisions that can affect not only their own outcomes but also the outcomes of other players. These games can involve various strategies, rules, and objectives, and they can be either cooperative or competitive in nature. Key characteristics of N-player games include: 1. **Multiple Players**: The game involves more than two players, with "N" representing the number of players involved.
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 Platonia dilemma refers to a philosophical and mathematical concept related to self-reference, paradoxes, and the nature of mathematical objects. The term itself is not widely recognized or standardized in philosophical discourse, but it often points to issues raised in discussions about mathematics, particularly in relation to Platonism and formalism.
A repeated game is a standard concept in game theory where a specific game (usually a stage game) is played multiple times by the same players. This can involve either a fixed number of repetitions (finite repeated game) or an indefinite number of repetitions (infinite repeated game). ### Key Characteristics of Repeated Games: 1. **Stage Game**: The repeated game is based on a single, well-defined game, often involving decisions that players must make simultaneously.
"Sir Philip Sidney game" typically refers to a classic board game, often called "Sidney's Game" or "The Game of Sidney," which is centered around the literary contributions of Sir Philip Sidney, a prominent English poet, and courtier of the Elizabethan era. However, it’s worth noting that there isn't a well-known board game that directly bears his name in contemporary contexts.
"Guess 2/3 of the average" refers to a common game or experimental economics concept known as the "2/3 of the average game." In this game, all participants are asked to independently choose a number between 0 and 100. The objective is to guess 2/3 of the average of all chosen numbers. Here's how it generally works: 1. Each participant selects a number. 2. The average of all numbers chosen is calculated.
A job scheduling game refers to a scenario in game theory where multiple players (or agents) are involved in scheduling tasks or jobs over a set of resources, often with the objective of optimizing their own performance measures, such as minimizing completion time, maximizing resource utilization, or reducing costs. In such games, players may have different objectives, constraints, and strategies. The key components typically include: 1. **Players**: Each participant has their own jobs to schedule and competing interests in optimizing their outcomes.

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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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