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Game mechanic where players act at the same time
Simultaneous action selection, or SAS, is a game mechanic that occurs when players of a game take action (such as moving their pieces) at the same time
Simultaneous_action_selection
Game class in game theory
In game theory, a simultaneous game or static game is a game where each player chooses their action without knowledge of the actions chosen by other players
Simultaneous_game
Standard example in game theory
Wedekind, C.; Milinski, M. (2 April 1996). "Human cooperation in the simultaneous and the alternating Prisoner's Dilemma: Pavlov versus Generous Tit-for-Tat"
Prisoner's_dilemma
Human behavior pattern in which the participant takes on increasing risk
in which individuals or groups continue to invest in a chosen course of action despite mounting evidence that the decision is wrong or that the project
Escalation_of_commitment
Decision rule used for minimizing the possible loss for a worst-case scenario
the cases where players take alternate moves and those where they make simultaneous moves, it has also been extended to more complex games and to general
Minimax
Type of stable matching problem
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Stable_roommates_problem
Mathematical models of strategic interactions
expense of others. Simultaneous games are games where both players move simultaneously, such that all players are unaware of the actions of other players
Game_theory
Concept in game theory
Coordination failure (economics) Coordination game Simultaneous game Surprisingly popular Equilibrium selection Rendezvous problem, the mathematical problem
Focal_point_(game_theory)
Situation where total gains match total losses
follows: "With action 2, I could lose up to 20 points and can win only 20, and with action 1 I can lose only 10 but can win up to 30, so action 1 looks a lot
Zero-sum_game
Solution concept of a non-cooperative game
to both vote "yes" rather than "no" to get a reward and the votes are simultaneous. There are two pure-strategy Nash equilibria, (yes, yes) and (no, no)
Nash_equilibrium
English saying meaning "equivalent retaliation"
will first cooperate, then subsequently replicate an opponent's previous action. If the opponent previously was cooperative, the agent is cooperative. If
Tit_for_tat
Overuse of a shared resource
factor is the order in which people take harvests from the resource. In simultaneous play, all people harvest at the same time, whereas in sequential play
Tragedy_of_the_commons
Israeli-American psychologist and economist (1934–2024)
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Daniel_Kahneman
Search algorithm
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Alpha–beta_pruning
Hand game for two players or more
matters Rock paper scissors and human social cyclic behavior Simultaneous action selection Notes Baldwin, Wyatt (2021-08-08). "The Official History of
Rock_paper_scissors
Logical paradox in decision-making theory
society should generally tolerate the intolerant, reserving self-preserving actions for only when intolerance poses a concrete threat to liberty and stability
Paradox_of_tolerance
Resource distribution game
two-person constant sum game in which the players (officers) are tasked to simultaneously distribute limited resources over several objects (battlefields). In
Blotto_game
Category of East Asian hand games
slug. Rock paper scissors – Hand game for two players or more Simultaneous action selection – Game mechanic where players act at the same time cāi quán [zh]
Sansukumi-ken
Paper-and-pencil game for two players
block it. Otherwise, the player should block all forks in any way that simultaneously allows them to make two in a row. Otherwise, the player should make
Tic-tac-toe
Making of satisfactory, not optimal, decisions
incompatibility (help) Simon, Herbert (1990). "A mechanism for social selection and successful altruism". Science. 250 (4988): 1665–8. Bibcode:1990Sci
Bounded_rationality
Proof all ranked voting rules have spoilers
predictors like income and demographics, writing that "this feelings-to-actions relationship takes a generic form, is consistently replicable, and is fairly
Arrow's_impossibility_theorem
Hungarian and American mathematician and physicist (1903–1957)
General Equilibrium Theory and Walras's law, which led to systems of simultaneous linear equations, could produce the absurd result that profit could be
John_von_Neumann
Theorem in game theory
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Aumann's_agreement_theorem
Mathematical game
In game theory, "guess 2/3 of the average" is a game where players simultaneously select a real number between 0 and 100, inclusive. The winner of the
Guess_2/3_of_the_average
Hand game for two or more players
Clause: Players are allowed to suicide and swap, but only if doing both simultaneously (i.e. swapping a dead hand for a live one). Death Attack: Players are
Chopsticks_(hand_game)
Conflict between safety and cooperation
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Stag_hunt
Concept in game theory
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Shapley_value
Model of humans as rational, self-interested agents
capable of thinking through all possible outcomes and choosing that course of action which will result in the best possible result. The rationality implied in
Homo_economicus
Game whose outcome can be correctly predicted
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Solved_game
Class of games where players choose their actions sequentially
structure, governed by a time axis, distinguishes sequential games from simultaneous games, where players act without knowledge of others’ choices and outcomes
Sequential_game
Tendency to overestimate in auctions
seen in subsequent replication studies. Selection bias – Bias in a statistical analysis due to non-random selection Publication bias – Higher probability
Winner's_curse
Weakly optimal allocation of resources
seller but not to the buyer) which results in moral hazard or an adverse selection and a sub-optimal outcome. In such a case, a planner who wishes to improve
Pareto_efficiency
Israeli psychologist (1937–1996)
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Amos_Tversky
Game theory concept
within the game Action sets, ai The set of actions available to Player i. An action profile a = (a1, . . . , aN) is a list of actions, one for each player
Bayesian_game
Game illustrating paradox in rational choice theory
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Dollar_auction
Game theory case weighing own/others' sacrifice
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Volunteer's_dilemma
Condition in economics and game theory
whether games with chance, but no secret information, and games with simultaneous moves are games of perfect information. Games which are sequential (players
Perfect_information
Game theory concept
indicates that player 2 does not know whether player 1 will play A or B in a simultaneous game. Player 1 chooses U rather than D because 3 > 2 for Player 1's payoff
Subgame_perfect_equilibrium
sequential if one player performs their actions after another player; otherwise, the game is a simultaneous move game. Perfect information: A game has
List_of_games_in_game_theory
Pairing where no unchosen pair prefers each other over their choice
Parallel implementations can assign men to different threads, resolve simultaneous proposals with synchronization primitives, and use optimizations such
Stable_matching_problem
Decrease in severity of conflicts
De-escalation refers to the methods and actions taken to decrease the severity of a conflict, whether of physical, verbal or another nature. It is the
De-escalation
Finding an optimal algorithm for playing chess
to program a computer to play chess based on position scoring and move selection. He proposed basic strategies for restricting the number of possibilities
Solving_chess
Trigger strategy
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Grim_trigger
Poker game developed by Harold Kuhn
equilibria, player 1 has a fixed strategy, and they always check as the first action; player 2's utility is constant, equal to –1/48 per hand. The discovered
Kuhn_poker
Concept in game theory
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Incentive_compatibility
Model of conflict for two players in game theory
to split. In the video, both contestants choose split. This forced the action of the other, leading to the best outcome for both in this case, as if both
Chicken_(game)
Notion in combinatorial game theory
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Game_complexity
Political model of international conflict resolution
model views international negotiations between states as consisting of simultaneous negotiations at two levels. Level 1: The international level (between
Two-level_game_theory
Two-player coordination game in game theory
are revealed neither player has any incentives to alter their proposed actions if they believe the other will not. The result is that perfect coordination
Battle of the sexes (game theory)
Battle_of_the_sexes_(game_theory)
Problem in process of sharing surplus
{\displaystyle F} . The feasible agreements typically include all possible joint actions, leading to a feasibility set that includes all possible payoffs. Often
Cooperative_bargaining
Simultaneous game found in game theory
A coordination game is a type of simultaneous game found in game theory. It describes the situation where a player will earn a higher payoff when they
Coordination_game
Cooperation between firms to limit competition
Conspiracy usually involves an agreement between two or more sellers to take action to suppress competition between sellers in the market. Because competition
Collusion
Economic model
the follower observes its action. The follower must have no means of committing to a future non-Stackelberg leader's action and the leader must know this
Stackelberg_competition
Military strategy during the Cold War with regard to the use of nuclear weapons
initiating some other course of action. The central problem of deterrence revolves around how to credibly threaten military action or nuclear punishment on the
Deterrence_theory
Branch of game theory about two-player sequential games with perfect information
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Combinatorial_game_theory
Combinatorial game theory theorem
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Sprague–Grundy_theorem
Simple mathematical game
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Pirate_game
American mathematician (1908-1991)
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Merrill_M._Flood
Representation of a game in game theory
(Defect, Defect). These matrices only represent games in which moves are simultaneous (or, more generally, information is imperfect). The above matrix does
Normal-form_game
Israeli-American mathematician (born 1930)
children; the oldest, Shlomo, a student in Yeshivat Shaalvim, was killed in action while serving as a tank gunner in the Israel Defense Forces's armored corps
Robert_Aumann
Logical dilemma
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Rendezvous_problem
Field of economics and game theory
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Mechanism_design
Neologism for cooperative competition
which firms or individuals engage in both cooperation and competition simultaneously. It describes situations where competing entities work together toward
Coopetition
Facilitating a peaceful outcome to a dispute
destructive, depending on the individual's emotional response to it. In contrast, action conflict is determined to be constructive or destructive based on how it
Conflict_resolution
Paradox of combining strategies
Floyd A (1 July 2007). "Two-Locus Epistasis With Sexually Antagonistic Selection: A Genetic Parrondo's Paradox". Genetics. 176 (3). Oxford: 1923–1929.
Parrondo's_paradox
Dynamical system
non-linear, and non-innovative dynamic that captures the principle of natural selection in strategic interactions. The replicator equation describes how strategies
Replicator_equation
Game whose payoffs depend on strategies as opposed to players
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Symmetric_game
Level of information in economics and game theory
potential strategies of each player and as a result their own best course of action to augment their payoffs. Complete information is importantly different
Complete_information
Problem about bus travel
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Wait/walk_dilemma
Game theory scenario
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Win–win_game
Subset of a game; used in game theory
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Subgame
Process of reasoning backwards in sequence
events or actions. Backward induction involves examining the final point in a series of decisions and identifying the optimal process or action required
Backward_induction
Game-theoretic concept
S wants a slightly higher action to be taken, if b > 0. Since S does not control action, S must obtain the desired action by choosing what information
Cheap_talk
Concept in game theory
In game theory, a strong Nash equilibrium (SNE) is a combination of actions of the different players, in which no coalition of players can cooperatively
Strong_Nash_equilibrium
Application of game theory to evolving populations in biology
natural selection (replicator dynamics), and heredity. Evolutionary game theory has contributed to the understanding of group selection, sexual selection, altruism
Evolutionary_game_theory
Wide-ranging representation of a game in game theory
not always observe the choice of another (for example, moves may be simultaneous or a move may be hidden). An information set is a set of decision nodes
Extensive-form_game
Complete plan on how a game player will behave in every possible game situation
move, action, or play is any one of the options which a player can choose in a setting where the optimal outcome depends not only on their own actions but
Strategy_(game_theory)
Variation of minimax game tree search
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Negamax
Game class in game theory
Bayesian game. The essence of a signaling game is that one player takes action, the signal, to convey information to another player. Sending the signal
Signaling_game
Problem in game theory
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
El_Farol_Bar_problem
Study of strategic decision making
x)} , it can be tracked by the Hamilton-Jacobi equation (1). The optimal action of the average players α ∗ ( x , t ) {\displaystyle \alpha ^{*}(x,t)} can
Mean-field_game_theory
Transactional view of violent conflict in international relations theory
a means of describing war as a political rather than economic or social action. The bargaining model of war describes war, its causes and consequences
Bargaining_model_of_war
Solution concept in game theory
also "evolutionarily stable." Thus, once fixed in a population, natural selection alone is sufficient to prevent alternative (mutant) strategies from replacing
Evolutionarily stable strategy
Evolutionarily_stable_strategy
Game theory model of aggression
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
War_of_attrition_(game)
Canadian computer scientist and mathematician
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Donald_B._Gillies
Diplomatic policy of concessions
1930s. World opinion never excused Japanese action in 1931-33 anywhere near the way it did German action in 1936-38. The Disarmament Conference had come
Appeasement
Situation where all parties are worse off
that are mutually exclusive (a Catch-22). Ignorance of other players' actions, meaning the best decision for all differs from that for any one player
No-win_situation
Hungarian-American economist and philosopher (1920–2000)
utilitarian ethics) as well as contributing to the study of equilibrium selection. For his work, he was a co-recipient along with John Nash and Reinhard
John_Harsanyi
Class of theorems about Nash equilibrium payoff profiles in repeated games
this game, each player has finitely many actions to choose from, and they make their choices simultaneously and without knowledge of the other player's
Folk_theorem_(game_theory)
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Coalition-proof Nash equilibrium
Coalition-proof_Nash_equilibrium
Economic model
is an economic model describing an oligopolistic market where firms simultaneously compete by choosing the quantity of goods to produce and sell in the
Cournot_competition
Experimental tool
recipient plays a passive role. Those are the full rules. The dictator's action space is complete and therefore is at their own will to determine the endowment
Dictator_game
Concept in economics and game theory
to run the job. The Price of Anarchy compares the situation where the selection of machines is guided/directed centrally to the situation where each player
Price_of_anarchy
Game theory dilemma
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Unscrupulous_diner's_dilemma
Refinement of Nash equilibrium
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Sequential_equilibrium
Simple game studied in game theory
the penny to heads or tails. The players then reveal their choices simultaneously. If the pennies match (both heads or both tails), then Even wins and
Matching_pennies
Preference of known risks to unknown risks
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Ambiguity_aversion
Two-player extensive form game
proceeds backwards through the game tree until one concludes that the best action is for the first player to defect in the first round. The same reasoning
Centipede_game
Two-person zero-sum game
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Search_game
Analog of Pareto efficiency for situations with incomplete information
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Bayesian_efficiency
travel, tourism, insurance
SIMULTANEOUS ACTION-SELECTION
SIMULTANEOUS ACTION-SELECTION
Boy/Male
Australian, Celtic, Jamaican
From the Afton River
Male
Russian
(Ðнтон) Russian form of Greek Antonios, possibly ANTON means "invaluable." Compare with other forms of Anton.
Surname or Lastname
English (West Midlands)
English (West Midlands) : most probably a variant of Nathan, altered by folk etymology under the influence of the English vocabulary word nation.
Male
Greek
(Ακταίων) Greek myth name of a hunter who was torn to pieces by his own dogs, AKTAION means "effulgence." He was then transformed into a deer, thus himself becoming the hunted.Â
Boy/Male
Tamil
Action
Male
German
 German form of Greek Antonios, possibly ANTON means "invaluable." Compare with other forms of Anton.
Girl/Female
Tamil
Action
Boy/Male
Greek
A hunter dismembered by his own dogs.
Boy/Male
English
A town in the U.K.
Female
English
English unisex name derived from a place name ASTON means "east settlement."
Boy/Male
British, English, Indian, Russian
Work
Boy/Male
Australian, British, Christian, Danish, English
Place Name; Oak Tree Settlement
Girl/Female
Gujarati, Hindu, Indian, Kannada, Marathi, Sanskrit, Sindhi, Tamil, Telugu
Acting; Actress; Action; Expressions; Act
Boy/Male
Hindu
Action
Girl/Female
American, British, English, Jamaican
From the Afton River; Place Name
Male
English
English surname transferred to forename use, ACTON means "oak tree settlement."Â
Boy/Male
Greek Latin
In ancient Greek mythology Actaeon was a hunter dismembered by his own dogs.
Surname or Lastname
English
English : habitational name from any of several places, especially in Shropshire and adjacent counties, named Acton. Generally, these are from Old English Äc ‘oak’ + tÅ«n ‘settlement’.
Girl/Female
Gujarati, Hindu, Indian, Kannada, Tamil, Telugu
Action
Male
Romanian
 Romanian form of Greek Antonios, possibly ANTON means "invaluable." Compare with other forms of Anton.
SIMULTANEOUS ACTION-SELECTION
SIMULTANEOUS ACTION-SELECTION
SIMULTANEOUS ACTION-SELECTION
SIMULTANEOUS ACTION-SELECTION
SIMULTANEOUS ACTION-SELECTION
SIMULTANEOUS ACTION-SELECTION
SIMULTANEOUS ACTION-SELECTION
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