Skip to content
Carmelics
TopicsThinkersChangesContributorsLoading account…

    Carmelics

    A reasoning platform. Break down any belief into clear reasons, explore both sides, and weigh the evidence honestly.

    Navigate

    • Topics
    • Search
    • Recent Changes
    • Contribute
    • How It Works
    • Glossary
    • Thinkers
    • Contributors
    • About
    • Statistics
    • Terms
    • Privacy

    Database

    Statements
    —
    Perspectives
    —
    Topics
    —

    Press ? for keyboard shortcuts

    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    The system of beliefs assigns to each information set a p... — Carmelics
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Home/Philosophy of Language
    HistoryEditSee Inverse

    Part of a larger discussion

    Supports→A sequential equilibrium requires both a strategy profile and a system of beliefs that are mutually consistent and sequentially rational

    The system of beliefs assigns to each information set a probability distribution over nodes in that set, representing the player's beliefs about where in the information set play has reached

    Philosophy of LanguageTruth & Knowledge
    ?Rate how convincing each reason is below to see the overall strength.

    No one has weighed in yet. Be the first to share reasons for or against this statement.

    Sign in or register to share your perspective on this statement.

    Topics

    Philosophy of LanguageTruth & Knowledge

    Key Terms

    Game theory(mathematics and philosophy)
    The mathematical study of strategic interactions where each person's outcome depends not just on their own choices, but on what other people choose to do.
    Nodes(in logic and model theory)
    Points or positions in a diagram or model that represent different possible situations or states of the world.
    Probability distribution

    Next step

    Based on where you are in your exploration

    Browse more in Philosophy of Language
    Related propositions within the same area of thought.
    (in Jeffrey's decision-making framework)
    A description of how likely different outcomes or situations are, showing the chances of each possibility.
    System of beliefs(as used in epistemology and decision theory)
    A complete set of what a person or player thinks is true about the current situation, used to make decisions.
    information set(Extensive-form game theory)
    A set of nodes (here n and n') that a player cannot distinguish between, represented by the player's inability to discern her actual situation

    Connections

    3 topics

    Modality & Possibility2 linkedConsequentialism1 linkedMoral Responsibility1 linked

    Related

    A sequential equilibrium has two parts: a strategy profile for each player and a...A sequential equilibrium requires both a strategy profile and a system of belief...Each player must play optimally from every information set onward, given prior b...The beliefs must be consistent with Bayes's rule

    Similar

    Strategic beliefs concern only what players will do given payoffs and ...81%Economically rational players in novel game situations will assign pos...75%The laws of probability stand in an analogous relation to partial beli...75%Both approaches compute updated beliefs by restricting to worlds or st...74%

    Source

    AI-extracted
    SEP: game-theory
    View source passageHide passage
    If we assume that players’ beliefs are always consistent with this equality, then we may define a sequential equilibrium. A SE has two parts: (1) a strategy profile § for each player, as before, and (2) a system of beliefs μ for each player. μ assigns to each information set h a probability distribution over the nodes in h, with the interpretation that these are the beliefs of player i(h) about where in his information set he is, given that information set h has been reached. Then a sequential e

    Details

    Type
    premise
    Perspectives
    0 (0 for, 0 against)
    Edits
    1 edit

    Open for perspectives

    This idea is waiting for its first supporting or challenging perspective.

    Share the first perspective