Equilibrium selection is a concept in game theory and economics that refers to the process of choosing among multiple equilibria in a strategic setting. In many games, especially those with multiple equilibria, different outcomes can exist, and it may not be clear which equilibrium will be reached in practice. Equilibrium selection seeks to identify which of these equilibria is more likely to be observed based on certain criteria or frameworks.
Epsilon-equilibrium, often denoted as ε-equilibrium, is a concept used in game theory, particularly in the context of non-cooperative games. It extends the idea of Nash equilibrium by allowing for a tolerance level, ε, that accounts for the possibility of small deviations from optimal play by players in the game. In a standard Nash equilibrium, each player's strategy is a best response to the strategies chosen by the other players.
"Divine equilibrium" is a term that can have various interpretations depending on the context in which it is used, including philosophical, spiritual, and scientific perspectives. 1. **Philosophical/Spiritual Context**: In many spiritual and philosophical traditions, divine equilibrium refers to a state of balance or harmony that is achieved when one is in alignment with a higher power or universal principles.
Correlated equilibrium is a concept in game theory that extends the idea of Nash equilibrium. It was introduced by Robert Aumann in the 1970s. The key idea behind correlated equilibrium is that players can achieve better outcomes by coordinating their strategies based on some form of common signal or correlation, rather than choosing their strategies independently. ### Definition: In a correlated equilibrium, a mediator (or correlation device) sends signals to the players, suggesting which strategies they should play.
A Coalition-proof Nash equilibrium (CPNE) is a solution concept in game theory that extends the traditional notion of Nash equilibrium to account for the possibility of coalition formation among players. In a standard Nash equilibrium, a strategy profile is stable if no single player can benefit by unilaterally changing their strategy, given the strategies of the other players. However, it does not consider the potential for groups of players to deviate together from the equilibrium, which can lead to different outcomes.
Berge equilibrium is a concept in game theory, particularly in the context of dynamic games with incomplete information. It is named after the French mathematician Claude Berge. The equilibrium represents a strategy profile where players choose their strategies optimally, given their beliefs about other players' types (or strategies), and where these strategies are consistently chosen based on the structure of the game.
As of my last knowledge update in October 2021, there is no widely recognized individual or concept named Yair Tauman. It’s possible that Yair Tauman could be a private individual or a name that has gained prominence after that date.
Werner Leinfellner is an Austrian philosopher known for his contributions to the fields of logic, language, and the philosophy of mathematics. He has been associated with various philosophical movements, including analytic philosophy and has worked on topics related to formal systems and the foundations of mathematics. Leinfellner's work often addresses the intersection of philosophy and mathematical logic, exploring the implications of logical systems for our understanding of language and reasoning.
Vincent Crawford is a prominent figure in the field of economics, particularly known for his contributions to game theory, economic theory, and experimental economics. He has held academic positions at various institutions and has published numerous influential papers on topics such as strategic interaction, bargaining, and market behavior.
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.
Tayfun Sönmez is likely to refer to an academic known for his work in the field of economics, particularly in areas such as game theory, market design, and mechanism design. He has contributed to various topics including matching theory and has been involved in research related to algorithms for matching markets. Tayfun Sönmez is also recognized for his contributions to practical applications of theoretical concepts, including those in education and labor markets.
Suzanne Scotchmer (1948–2014) was an influential American economist recognized primarily for her contributions to the fields of public economics and intellectual property. She was a professor at the University of California, Berkeley, where she made significant contributions to the understanding of innovation, knowledge creation, and patent policy. Scotchmer's work often explored the intersection of economics and intellectual property, analyzing how different systems of protection for innovation affect economic growth and the dissemination of knowledge.
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.
Steve Alpern is a mathematician and computer scientist known for his work in various areas including operations research, game theory, and applied mathematics. He has made significant contributions to the understanding of decision-making processes, optimization, and the development of algorithms. Alpern is also known for his research on multi-agent systems and strategic behavior in competitive environments.
Stephen Morris is an American economist known for his contributions to the fields of game theory, information economics, and mechanism design. He has made significant contributions to understanding how agents with private information interact in economic settings, particularly in terms of strategic communication and decision-making. Morris has held academic positions at several prestigious institutions and has published numerous influential papers in top economic journals.
As of my last knowledge update in October 2023, "Shmuel Gal" does not appear to refer to a widely recognized figure, concept, or term. It's possible that there might be a local or emerging personality, event, or term that has gained attention after that time, or it could be a more niche reference.
Sergiu Hart is a prominent Romanian-American mathematician known for his contributions to game theory, economics, and combinatorial optimization. He has made significant advancements in the study of dynamic programming, decision theory, and other areas of applied mathematics. Hart is also recognized for his work on the Nash equilibrium and various concepts within cooperative and non-cooperative games.
Sarit Kraus is a prominent researcher and scholar in the field of artificial intelligence, specifically known for her work in areas such as multi-agent systems, game theory, and human-agent interaction. She has contributed significantly to the understanding of how autonomous agents can operate and collaborate in complex environments, including those involving strategic interaction and negotiation. Kraus has held academic positions at institutions such as Bar-Ilan University in Israel and has published numerous papers in journals and conferences related to AI.
Roland Sprague could refer to multiple things, but without specific context, it's difficult to provide a precise answer. One potential reference is to an individual or professional in various fields such as art, academia, or business.

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