Symmetric equilibrium is a concept often used in game theory and economics. It refers to a situation in which all players in a game or economic model choose the same strategy, leading to an equilibrium where no player has an incentive to deviate unilaterally from that strategy. In symmetric equilibrium: 1. **Identical Strategies**: All players have access to the same strategies, and they choose the same one.

Subgame Perfect Equilibrium (SPE) is a refinement of Nash Equilibrium used in game theory, specifically in the context of extensive-form games, which can be represented by a tree-like structure. In an SPE, the strategy profile is not only a Nash Equilibrium in the game as a whole but also remains a Nash Equilibrium in every subgame of that game.

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.

Stochastically stable equilibrium is a concept used in the field of evolutionary game theory and dynamic systems to describe a state of a system that remains stable over time under stochastic (random) influences. It represents an equilibrium point that is not only stable in a deterministic sense but also resilient to small random fluctuations or perturbations that may occur in the system.

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.

Separating equilibrium is a concept used in game theory and economics, particularly in the context of signaling games. It refers to a situation where different types of players (often with private information) choose distinct actions or strategies that reveal their type to other players. In a separating equilibrium, the actions taken by each type of player provide clear signals that allow other players to infer the type of the signaling player accurately.

A self-enforcing agreement is a type of contract or arrangement in which the terms and conditions are designed to be automatically upheld or enforced without the need for external intervention, such as a court or a regulatory agency. In other words, the agreement contains built-in mechanisms that incentivize the parties to comply voluntarily, as the consequences of non-compliance are sufficiently significant to deter breaches.

A self-confirming equilibrium is a concept in game theory that refers to a type of equilibrium in which players' beliefs about the strategies and types of other players are consistent with the observed actions of those players, but not necessarily with the entire strategy profile of the game. This means that players form beliefs based on the limited information they have observed, which influences their strategic choices. In a typical Nash equilibrium, all players' strategies are mutual best responses, given their beliefs about the other players' strategies.

"Satisfaction equilibrium" is not a widely recognized term in mainstream economics or psychology, but it can be interpreted in a few different ways depending on the context. 1. **In Economics**: It might refer to a state where individuals or firms derive a level of satisfaction from their consumption or production that is balanced with their constraints (like budget or resources). This concept could be related to the idea of utility maximization, where consumers are satisfied with their choices given their income and the prices of goods.

Risk dominance is a concept from game theory that helps determine which of several potential strategies or equilibria in a game is more likely to be chosen by players when they are unsure of the actions of others. It is particularly useful in coordination games, where players have to make decisions without knowing what others will choose.

Quasi-perfect equilibrium is a concept from game theory, specifically related to dynamic games and extensive form games (games represented by trees with nodes and branches indicating possible moves by players). It is an extension of the idea of subgame perfect equilibrium, which requires that players' strategies constitute a Nash equilibrium in every subgame of the original game.

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.

"Proper equilibrium" typically refers to a stable state in which various forces or factors are balanced in such a way that there is no tendency for change. This term can appear in various fields, including physics, economics, and environmental science, among others.

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.

Perfect Bayesian Equilibrium (PBE) is a refinement of Bayesian Nash Equilibrium in the context of dynamic games with incomplete information. It incorporates the concepts of beliefs and sequential rationality to provide a detailed analysis of players' strategies and their updates based on observed actions. The key elements of Perfect Bayesian Equilibrium include: 1. **Beliefs**: Players have beliefs about the types of other players (i.e., their private information) based on prior probabilities.

Nash equilibrium is a concept in game theory named after mathematician John Nash. It refers to a situation in a strategic game where no player can benefit by changing their strategy unilaterally, assuming that the other players' strategies remain constant. In other words, it is a state in which each player's strategy is optimal given the strategies of all other players.

Mertens-stable equilibrium is a concept from game theory, particularly in the context of non-cooperative games. It refers to a way of identifying equilibria in games that is robust under the consideration of deviations by players. In a game, a strategy profile (a set of strategies chosen by players) can be considered an equilibrium if no player has an incentive to unilaterally deviate from their strategy, given the strategies of the others.

Markov Perfect Equilibrium (MPE) is a refinement of the concept of Nash Equilibrium, applied to dynamic games with incomplete information. In such games, players make decisions at various points in time, and their strategies can depend not just on the current state of the game but also on the entire history of play. However, in the MPE, players base their decisions on the current state of the game rather than on its history.

The concept of "Manipulated Nash Equilibrium" is not a standard term in game theory literature but can pertain to scenarios where players in a game can strategize to influence or manipulate the outcome to their advantage while still adhering to the principles of Nash equilibrium. In a typical Nash equilibrium, each player’s strategy is optimal given the strategy chosen by all other players. In other words, no player can benefit by unilaterally changing their strategy if the other players' strategies remain unchanged.

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.