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In stochastic game theory, Bayesian regret is the expected difference ("regret") between the utility of a given strategy and the utility of the best possible
Bayesian_regret
Type of heuristic technique
property, one can translate regret bounds established for UCB algorithms to Bayesian regret bounds for Thompson sampling or unify regret analysis across both
Thompson_sampling
Solution concept in game theory
In game theory, a Perfect Bayesian Equilibrium (PBE) is a solution with Bayesian probability to a turn-based game with incomplete information. More specifically
Perfect_Bayesian_equilibrium
Game theory concept
In game theory, a Bayesian game is a strategic decision-making model which assumes players have incomplete information. Players may hold private information
Bayesian_game
Hungarian and American mathematician and physicist (1903–1957)
S2CID 13503517. Stacey, B. C. (2016). "Von Neumann was not a Quantum Bayesian". Philosophical Transactions of the Royal Society A. 374 (2068) 20150235
John_von_Neumann
Level of information in economics and game theory
games), these solutions turn towards Bayesian Nash Equilibria since games with incomplete information become Bayesian games. In a game of complete information
Complete_information
quadrature – Method in statistics Bayesian regret Bayesian search theory – Method for finding lost objects Bayesian spam filtering – Probabilistic classification
List of things named after Thomas Bayes
List_of_things_named_after_Thomas_Bayes
Solution concept in Game Theory
perfect-information solution concept to bayesian games, and also a broader solution concept than the usual Bayesian Nash equilibrium thereof. Additionally
Bayes_correlated_equilibrium
Statistical optimization technique
Bayesian optimization is a sequential design strategy for global optimization of black-box functions, that does not assume any functional forms. It is
Bayesian_optimization
Decision rule used for minimizing the possible loss for a worst-case scenario
Various extensions of this non-probabilistic approach exist, notably minimax regret and Info-gap decision theory. Further, minimax only requires ordinal measurement
Minimax
Logical paradox in decision-making theory
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Paradox_of_tolerance
Concept in game theory
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Focal_point_(game_theory)
Mathematical models of strategic interactions
but may not know how well their opponent knows his or her own character. Bayesian game means a strategic game with incomplete information. For a strategic
Game_theory
Paper-and-pencil game for two players
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Tic-tac-toe
Standard example in game theory
[citation needed] Deriving the optimal strategy is generally done in two ways: Bayesian Nash equilibrium: If the statistical distribution of opposing strategies
Prisoner's_dilemma
Solution concept of a non-cooperative game
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Nash_equilibrium
depending on the scenario tested. A similar metric, referred to as "Bayesian regret", measures the same property, but inverted. They are related by the
Social_utility_efficiency
Political model of international conflict resolution
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Two-level_game_theory
Model of humans as rational, self-interested agents
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Homo_economicus
Weakly optimal allocation of resources
with probability 1⁄2 each gives an expected utility of 1⁄2 to each voter. Bayesian efficiency is an adaptation of Pareto efficiency to settings in which players
Pareto_efficiency
Solution concept in Game Theory
static games of incomplete information. It is a generalization of the usual Bayesian Nash equilibrium, allowing for players to underestimate the connection
Cursed_equilibrium
Israeli-American psychologist and economist (1934–2024)
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Daniel_Kahneman
Overuse of a shared resource
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Tragedy_of_the_commons
Facilitating a peaceful outcome to a dispute
doi:10.1177/1046496496272007. S2CID 145442320. Das, Tuhin K. (2018). "Regret Analysis Towards Conflict Resolution". SSRN. doi:10.2139/ssrn.3173490. S2CID 216920077
Conflict_resolution
Concept in conflict studies
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Conflict_escalation
Concept in game theory
straightforward. A weaker degree is Bayesian-Nash incentive-compatibility (BNIC). This means there is a Bayesian Nash equilibrium in which all participants
Incentive_compatibility
Proof all ranked voting rules have spoilers
information than simply what I have asked for. Harsanyi, John C. (1979-09-01). "Bayesian decision theory, rule utilitarianism, and Arrow's impossibility theorem"
Arrow's_impossibility_theorem
Technique in mechanism design
can be solved efficiently as a regret minimization problem. Kamenica, Emir; Gentzkow, Matthew (2011-10-01). "Bayesian Persuasion". American Economic Review
Bayesian_persuasion
Field of economics and game theory
proposed mechanism constitutes a Bayesian game (a game of private information), and if it is well-behaved the game has a Bayesian Nash equilibrium. At equilibrium
Mechanism_design
Model of conflict for two players in game theory
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Chicken_(game)
Concept in game theory
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Shapley_value
Condition in economics and game theory
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Perfect_information
Hand game for two or more players
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Chopsticks_(hand_game)
Principle in economics and game theory
player. A direct-mechanism Mech is said to be Bayesian-Nash-Incentive-compatible (BNIC) if there is a Bayesian Nash equilibrium of Game(Mech) in which all
Revelation_principle
Diplomatic policy of concessions
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Appeasement
Conflict between safety and cooperation
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Stag_hunt
Finding an optimal algorithm for playing chess
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Solving_chess
Hand game for two players or more
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Rock_paper_scissors
Making of satisfactory, not optimal, decisions
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Bounded_rationality
Mathematical relation assigning a probability event to a cost
Savage argued that using non-Bayesian methods such as minimax, the loss function should be based on the idea of regret, i.e., the loss associated with
Loss_function
Israeli psychologist (1937–1996)
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Amos_Tversky
Formal rule for predicting how a game will be played
perfection cannot be used to eliminate any Nash equilibria. A perfect Bayesian equilibrium (PBE) is a specification of players' strategies and beliefs
Solution_concept
Search algorithm
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Alpha–beta_pruning
Situation where total gains match total losses
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Zero-sum_game
Game class in game theory
In game theory, a signaling game is a type of a dynamic Bayesian game. The essence of a signaling game is that one player takes action, the signal, to
Signaling_game
Situation where all parties are worse off
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No-win_situation
Human behavior pattern in which the participant takes on increasing risk
positive relationships with escalation of commitment, while anticipated regret and positive information framing have been found to have negative relationships
Escalation_of_commitment
Variation of minimax game tree search
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Negamax
Military strategy during the Cold War with regard to the use of nuclear weapons
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Deterrence_theory
Subset of a game; used in game theory
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Subgame
Problem in process of sharing surplus
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Cooperative_bargaining
Branch of game theory about two-player sequential games with perfect information
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Combinatorial_game_theory
English saying meaning "equivalent retaliation"
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Tit_for_tat
Analog of Pareto efficiency for situations with incomplete information
Bayesian efficiency is an analog of Pareto efficiency for situations in which there is incomplete information. Under Pareto efficiency, an allocation of
Bayesian_efficiency
In board games that cannot end in a draw, one of the two players has a winning strategy
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Zermelo's theorem (game theory)
Zermelo's_theorem_(game_theory)
Game in economic experiments
S2CID 220642229. Fudenberg, Drew; Tirole, Jean (1991-04-01). "Perfect Bayesian equilibrium and sequential equilibrium". Journal of Economic Theory. 53
Ultimatum_game
Italian economist (born 1961)
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Pierpaolo_Battigalli
Iterated game for peace and conflict studies
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Peace_war_game
Application of game theory to evolving populations in biology
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Evolutionary_game_theory
Game whose outcome can be correctly predicted
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Solved_game
Game theory model of aggression
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War_of_attrition_(game)
Two-player coordination game in game theory
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Battle of the sexes (game theory)
Battle_of_the_sexes_(game_theory)
Cooperation between firms to limit competition
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Collusion
Economic phenomenon
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Tyranny_of_small_decisions
Pairing where no unchosen pair prefers each other over their choice
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Stable_matching_problem
Game theory concept
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Subgame_perfect_equilibrium
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List_of_games_in_game_theory
Economic Model
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Bertrand–Edgeworth_model
Condition where selection restores genetic composition
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Evolutionarily_stable_state
Complete plan on how a game player will behave in every possible game situation
every possible rule for which offers to accept and which to reject. In a Bayesian game, or games in which players have incomplete information about one another
Strategy_(game_theory)
Trigger strategy
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Grim_trigger
Solution concept in game theory
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Evolutionarily stable strategy
Evolutionarily_stable_strategy
Solution concept in game theory
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Quantal_response_equilibrium
Representation of a game in game theory
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Normal-form_game
Canadian computer scientist and mathematician
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Donald_B._Gillies
Type of perfect Bayesian equilibrium
In signaling games, a separating equilibrium is a type of perfect Bayesian equilibrium where agents with different characteristics choose different actions
Separating_equilibrium
Mathematical game
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Guess_2/3_of_the_average
Problem in game theory
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El_Farol_Bar_problem
Economic model
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Stackelberg_competition
Game theory concept
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Game_form
Problem in game theory
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Airport_problem
Field in social science
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Peace_and_conflict_studies
Simple mathematical game
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Pirate_game
Concept in game theory
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Equilibrium_selection
Experimental tool
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Dictator_game
Quality of a strategy in game theory
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Strategic_dominance
English mathematician and game theorist born 1940
Explains foundations of Bayesian decision theory and why Leonard Savage restricted it to small worlds. Argues that Bayesian approach inadequate in a
Kenneth_Binmore
Operational analysis derived from game theory
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Confrontation_analysis
Concept in game theory
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Best_response
Simultaneous game found in game theory
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Coordination_game
Notion in combinatorial game theory
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Game_complexity
Hungarian-American economist and philosopher (1920–2000)
highly innovative analysis of games of incomplete information, so-called Bayesian games. He also made important contributions to the use of game theory and
John_Harsanyi
called strategyproof). A function is Bayesian-Nash implementable if it is attainable by a mechanism which is Bayesian-Nash-incentive-compatible. See for
Implementation_theory
Concept in game theory
games have been combined with Bayesian games to model uncertainty over player strategies. The resulting stochastic Bayesian game model is solved via a recursive
Stochastic_game
Statement that players know and also know that other players know (ad infinitum)
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Common_knowledge_(logic)
Game where groups of players may enforce cooperative behaviour
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Cooperative_game_theory
Economic model
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Cournot_competition
Solution concept in game theory
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Rationalizable_strategy
Incomplete-information coordination game
{\displaystyle n+1} emails The equilibrium concept to be used is that of a Bayesian Nash Equilibrium (BNE). Rubinstein showed that, no matter how small the
Electronic_mail_game
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Conjectural_variation
BAYESIAN REGRET
BAYESIAN REGRET
Boy/Male
Afghan, Arabic, Hindu, Indian, Muslim, Pashtun, Sindhi
Friend; Companion; Confidant; Repentant; Regretful; Fire
Boy/Male
Arabic
Repentant; Regretful
Boy/Male
Indian
Surname or Lastname
English
English : from Middle English dole ‘portion of land’ (Old English dÄl ‘share’, ‘portion’). The term could denote land within the common field, a boundary mark, or a unit of area; so the name may be of topographic origin or a status name.Irish : reduced and altered Anglicized form of McDowell. Compare McDole.French (Dolé) : nickname for a troubled or anxious person, from Old French dolé, past participle of doler ‘to regret’ (Latin dolere ‘to hurt’).
Girl/Female
Arabic, Muslim
To Walk with Pride
Girl/Female
Muslim
To walk with pride
Boy/Male
Muslim
Companion. Confidant. Friend. Repentant. Regretful.
Boy/Male
Muslim
BAYESIAN REGRET
BAYESIAN REGRET
Girl/Female
Assamese, Hindu, Indian, Tamil
Magnificent Poetess; Orator
Male
French
French form of Latin Donatus, DONATIEN means "given (by God)."
Boy/Male
Gaelic
Friend of Saint Michael.
Girl/Female
Muslim
Silk
Girl/Female
American, Anglo, Australian, British, Christian, Danish, Dutch, English, French, German, Jamaican, Latin, Portuguese
Eye of the Day; Flower Name; Day's Eye
Girl/Female
Latin
Divine message.
Boy/Male
Indian, Punjabi, Sikh
Lovable
Boy/Male
Tamil
Lotus
Boy/Male
African, Hindu, Indian
Son of Krishna
Male
Spanish
Spanish form of Latin Eduardus, EDUARDO means "guardian of prosperity."
BAYESIAN REGRET
BAYESIAN REGRET
BAYESIAN REGRET
BAYESIAN REGRET
BAYESIAN REGRET
n.
Fig.: Bitterness; disappointment; grief; regret.
v. t.
To lament; to regret extremely; to grieve for or over.
v. t.
To feel regret or sorrow; -- used reflexively.
n.
A reason or cause of pity, grief, or regret; a thing to be regretted.
v. t.
To experience regret on account of; to lose or miss with a sense of regret; to feel sorrow or dissatisfaction on account of (the happening or the loss of something); as, to regret an error; to regret lost opportunities or friends.
v. t.
To cause to have sorrow or regret; -- used impersonally.
v. i.
To feel sorrow and regret; to repent.
interj.
Alack the day; alas; -- an expression of sorrow, regret, dissatisfaction, or surprise.
a.
Grieved for the loss of some good; pained for some evil; feeling regret; -- now generally used to express light grief or affliction, but formerly often used to express deeper feeling.
n.
Expression of grief, regret, pain, censure, or resentment; lamentation; murmuring; accusation; fault-finding.
interj.
Exclamation of regret or surprise.
v. t.
To repent; to regret; to be sorry for; to cause regret.
v.
Pain of mind on account of something done or experienced in the past, with a wish that it had been different; a looking back with dissatisfaction or with longing; grief; sorrow; especially, a mourning on account of the loss of some joy, advantage, or satisfaction.
a.
Full of regret; indulging in regrets; repining.
v.
Dislike; aversion.
v. i.
To feel pain, sorrow, or regret, for what one has done or omitted to do.
n.
The uneasiness or pain of mind which is produced by the loss of any good, real or supposed, or by diseappointment in the expectation of good; grief at having suffered or occasioned evil; regret; unhappiness; sadness.
imp. & p. p.
of Regret
v. i.
To change the mind, or the course of conduct, on account of regret or dissatisfaction.
p. pr. & vb. n.
of Regret