Construct · 1 fields · 1 citations

trembling hand: a standalone construct

One name. One construct. A landmark on the map.

● anchor · game theory Nearest construct by meaning·not indexed
tremblinghand1 CONSTRUCTTrembling-hand perfectionSELTEN · 1975

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Game theory

An equilibrium that survives tiny mistakes by the players

Trembling-hand perfection is an equilibrium refinement that tests whether a Nash equilibrium is robust to the possibility that players occasionally make mistakes. Selten's 1975 Reexamination of the perfectness concept defined a perfect equilibrium as one that remains a best response in the limit as each player's hand “trembles,” assigning every action a small positive probability of being chosen in error. The referent is a stricter standard than Nash equilibrium: it discards equilibria that are sustained only because a threatened action has exactly zero probability, keeping those that stay optimal even when opponents might slip, which makes it a foundational tool for selecting among multiple equilibria.[1]

Unit
Whether a strategy stays a best response as vanishing trembles are added
Recovery means
Not applicable
Measured by
Checked by taking a sequence of totally mixed (fully trembling) strategy profiles and verifying the strategy remains a limit best response

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Nearby constructs

backward induction2 fields · 2 citationsinvariant · one construct, two systemsaction3 fields · 6 citationsjingle · one word, three constructsbargaining1 fields · 2 citationsanchor · game theory

References

  1. Selten, R. (1975). Reexamination of the perfectness concept for equilibrium points in extensive games. International Journal of Game Theory, 4(1), 25–55. https://doi.org/10.1007/BF01766400

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