• the right, the only Nash equilibrium is (D, D). Since both players use the same strategy, the equilibrium is symmetric. Symmetric equilibria have important...
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  • equilibrium Symmetric equilibrium, in game theory, an equilibrium arising from all players using the same strategy Trembling hand perfect equilibrium...
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  • Thumbnail for Hydrostatic equilibrium
    planetary geology. Said qualification of equilibrium indicates that the shape of the object is symmetrically rounded, mostly due to rotation, into an...
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  • Equilibrium (PBE) is a solution with Bayesian probability to a turn-based game with incomplete information. More specifically, it is an equilibrium concept...
    16 KB (2,564 words) - 22:29, 18 September 2024
  • nothing in equilibrium. So, they have no incentive to bid less. This equilibrium is subgame perfect. There is also a symmetric equilibrium in mixed strategies...
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  • In any symmetric game there exists a symmetric equilibrium. Given a symmetric game of n players facing k strategies, a symmetric equilibrium may be found...
    30 KB (1,887 words) - 16:24, 21 June 2025
  • Thumbnail for Trimethylenemethane
    one, 11B2 (also at 1.17 eV), is an open-shell radical with a D3h-symmetric equilibrium between three equal geometries; each has a longer C–C bond (1.48 Å)...
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  • every finite symmetric game has a symmetric mixed strategy Nash equilibrium. Cheng et al. (2004) show that every two-strategy symmetric game has a (not...
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  • Thumbnail for Thermal equilibrium
    the essential meaning of the relation of thermal equilibrium includes that it is reflexive and symmetric. It is not included in the essential meaning whether...
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  • f^{-1}(x)=(a-x)\cdot {1 \over f'(f^{-1}(x))}} Now, since we are looking for a symmetric equilibrium, we also want Alice's bid x {\displaystyle x} to equal f ( a ) {\displaystyle...
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  • two buyers and uniformly distributed values, he showed that the symmetric-equilibrium strategy was to submit a bid equal to half of the buyer's valuation...
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  • standard auction format A, suppose that the auction has a symmetric and increasing equilibrium βA, which is a mapping from a bidder's observed signal to...
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    Symmetry (redirect from Symmetric)
    is symmetric if it can be divided into two or more identical pieces that are arranged in an organized fashion. This means that an object is symmetric if...
    36 KB (3,885 words) - 11:23, 20 June 2025
  • should have analogous (symmetric) meanings. In team games, the optimal symmetric strategy is also a (symmetric) Nash equilibrium. While breaking symmetries...
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    a total 18 dimensional irrep result of 9(Ag + Bu). Symmetric point group representations Symmetric point groups are divided into systems based on the...
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  • Thumbnail for Non-equilibrium thermodynamics
    Non-equilibrium thermodynamics is a branch of thermodynamics that deals with physical systems that are not in thermodynamic equilibrium but can be described...
    51 KB (6,336 words) - 01:00, 20 June 2025
  • {1-x}{2+\phi }}} so that in symmetric equilibrium x ∗ = y ∗ = 1 3 + ϕ {\displaystyle x^{*}=y^{*}={\frac {1}{3+\phi }}} and the equilibrium price is P ∗ = 1 + ϕ...
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  • talk or contracts). The strategies form a subgame perfect equilibrium of the game. In symmetric games, when the players have a strategy and action sets...
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  • themselves. The equilibria defined by ESS must always be symmetric, and thus have fewer equilibrium points. In population biology, the two concepts of an...
    25 KB (2,935 words) - 15:30, 28 April 2025
  • response is central to John Nash's best-known contribution, the Nash equilibrium, the point at which each player in a game has selected the best response...
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  • processes or Langevin dynamics), frenesy is associated with the time-symmetric part of the action functional, containing trajectory-dependent terms such...
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  • Thumbnail for Symmetry breaking
    breaking is a phenomenon where a disordered but symmetric state collapses into an ordered, but less symmetric state. This collapse is often one of many possible...
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  • Bayesian Nash equilibrium (BNE), which is a function from the information held by a player, to the bid of that player. We focus on a symmetric BNE (SBNE)...
    12 KB (2,167 words) - 20:55, 26 October 2022
  • studied 2×2 games are symmetric. The standard representations of chicken, the prisoner's dilemma, and the stag hunt are all symmetric games. The most commonly...
    138 KB (15,387 words) - 10:44, 6 June 2025
  • Thumbnail for Helically Symmetric Experiment
    The Helically Symmetric Experiment (HSX, stylized as Helically Symmetric eXperiment), is an experimental plasma confinement device at the University of...
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    relationship is that the equilibrium relationship is symmetric: If A is in thermal equilibrium with B, then B is in thermal equilibrium with A. Thus, the two...
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  • both "Chicken" and "Hawk–Dove", the only symmetric Nash equilibrium is the mixed strategy Nash equilibrium, where both individuals randomly chose between...
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  • jumped, or K if both jumped. We show that there exists a symmetric perfect Bayesian equilibrium in which each bidder jumps if-and-only-if his value is above...
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  • assumes that the answer in a symmetric game will be the same for all. This is the definition of a game-theoretic Nash equilibrium, which defines a stable strategy...
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    indifference curves. An equilibrium therefore corresponds to a budget line which is also a price line, and the price at equilibrium is the gradient of the...
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