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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
Mathematical models of strategic interactions
particular action, while they do not know which of the other available actions the first player actually performed. The difference between simultaneous and sequential
Game_theory
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
Situation where total gains match total losses
games (e.g. warfare game, chess) and non-zero-sum games (e.g. pooling selection games). The player in the game has a simple enough desire to maximise
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Concept in game theory
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Shapley_value
Diplomatic policy of concessions
resources to intervene and to maintain an imperial defence capability simultaneously. Public opinion in Britain throughout the 1930s was frightened by the
Appeasement
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
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
Concept in game theory
Coordination failure (economics) Coordination game Simultaneous game Surprisingly popular Equilibrium selection Rendezvous problem, the mathematical problem
Focal_point_(game_theory)
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
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
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
move by assigning different probability weights to different outcomes simultaneously. The effect of this is that Bayesian games allow for the modeling of
Bayesian_game
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
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
Economic phenomenon
imperilled by any one of his particular decisions. The fact remains that each selection of x over y constitutes also a vote for eliminating the possibility thereafter
Tyranny_of_small_decisions
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
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 Linhart 1998
Sansukumi-ken
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
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)
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
Game in economic experiments
ultimatum game behavior. In the experiment, players were required to simultaneously decide on their offer (if they were the proposer) and the minimum amount
Ultimatum_game
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
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
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
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
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
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
Economic model
model describing a market where n ≥ 2 {\displaystyle n\geq 2} firms simultaneously compete by choosing the quantity of goods to produce and sell in the
Cournot_competition
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
Experimental tool
between themselves and the second player (the recipient). The dictator's action space is complete and therefore is at their own will to determine the endowment
Dictator_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
Game where groups of players may enforce cooperative behaviour
are analysed by focusing on coalitions that can be formed, and the joint actions that groups can take and the resulting collective payoffs. A cooperative
Cooperative_game_theory
Economic model of competition
{\displaystyle i} select its own price p i {\displaystyle p_{i}} .; Timing: Simultaneous move game; Firm Payoffs: Profit; and Information: Complete. Imagine an
Bertrand_competition
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)
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)
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
Concept in conflict studies
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Conflict_escalation
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
Simple mathematical game
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Pirate_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
optimally to the historical empirical distribution of their opponents' past actions. Specifically, at each round, a player calculates the empirical frequency
Fictitious_play
Game theory scenario
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Win–win_game
Solution concept in game theory
dominates (Hunt, Hunt) since if uncertainty exists about the other player's action, gathering will provide a higher expected payoff. The game in Figure 1 is
Risk_dominance
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
Field in social science
mechanisms are less likely to be published. After accounting for publication selection bias, the analysis finds that, on average, income-increasing shocks in
Peace_and_conflict_studies
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
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
Finding an optimal algorithm for playing chess
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Solving_chess
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
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
Quality of a strategy in game theory
least one set of opponents' actions for which B gives a worse outcome than A, while all other sets of opponents' actions give B the same payoff as A.
Strategic_dominance
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
Incomplete-information coordination game
{\displaystyle p} , with p < 1 / 2 {\displaystyle p<1/2} . The payoffs for each action profile in each of those states are: where L > M > 0 {\displaystyle L>M>0}
Electronic_mail_game
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
Economic Model
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Bertrand–Edgeworth_model
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
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)
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
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
Variant of Nash equilibrium in game theory
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Trembling hand perfect equilibrium
Trembling_hand_perfect_equilibrium
Concept in game theory
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Incentive_compatibility
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
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
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 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
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Conjectural_variation
certain exchange. It represents the final payoff resulting from a set of actions that individuals can take within the context of the game. Outcomes are
Outcome_(game_theory)
Trigger strategy
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Grim_trigger
Solution concept in Game Theory
a Bayes correlated equilibrium allows for players to correlate their actions in such a way that no player has an incentive to deviate for every possible
Bayes_correlated_equilibrium
Iterated game for peace and conflict studies
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Peace_war_game
Set in game theory
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Core_(game_theory)
Two-player extensive form game
for himself. In the centipede game, a pure strategy consists of a set of actions (one for each choice point in the game, even though some of these choice
Centipede_game
Solution concept in game theory
Poker, by Loriente and Diez (2023). A multi-stage game is a sequence of simultaneous games played one after the other. These games may be identical (as in
Perfect_Bayesian_equilibrium
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
Class of strategies employed in a repeated non-cooperative game
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Trigger_strategy
Solution concept in Game Theory
players to underestimate the connection between other players' equilibrium actions and their types – that is, the behavioral bias of neglecting the link between
Cursed_equilibrium
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
Enhancement of Alpha–Beta game tree search
information Perfect recall Ply Preference Rationality Sequential game Simultaneous action selection Spite Strategic complements Strategic dominance Strategic form
Principal_variation_search
Solution concept in game theory
about the opponents' actions). The motivation for this step is no rational player would ever choose such actions. Remove all actions which are never a best
Rationalizable_strategy
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
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
SIMULTANEOUS ACTION-SELECTION
SIMULTANEOUS ACTION-SELECTION
Boy/Male
Hindu
Action
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
Girl/Female
Tamil
Action
Male
Romanian
 Romanian form of Greek Antonios, possibly ANTON means "invaluable." Compare with other forms of Anton.
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’.
Boy/Male
Australian, Celtic, Jamaican
From the Afton River
Girl/Female
Gujarati, Hindu, Indian, Kannada, Marathi, Sanskrit, Sindhi, Tamil, Telugu
Acting; Actress; Action; Expressions; Act
Boy/Male
Greek
A hunter dismembered by his own dogs.
Male
German
 German form of Greek Antonios, possibly ANTON means "invaluable." Compare with other forms of Anton.
Boy/Male
Greek Latin
In ancient Greek mythology Actaeon was a hunter dismembered by his own dogs.
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.
Boy/Male
Australian, British, Christian, Danish, English
Place Name; Oak Tree Settlement
Girl/Female
American, British, English, Jamaican
From the Afton River; Place Name
Boy/Male
English
A town in the U.K.
Male
Russian
(Ðнтон) Russian form of Greek Antonios, possibly ANTON means "invaluable." Compare with other forms of Anton.
Male
English
English surname transferred to forename use, ACTON means "oak tree settlement."Â
Boy/Male
British, English, Indian, Russian
Work
Boy/Male
Tamil
Action
Girl/Female
Gujarati, Hindu, Indian, Kannada, Tamil, Telugu
Action
Female
English
English unisex name derived from a place name ASTON means "east settlement."
SIMULTANEOUS ACTION-SELECTION
SIMULTANEOUS ACTION-SELECTION
Boy/Male
Gujarati, Hindu, Indian
Lord Shiva
Girl/Female
Hindu, Indian, Tamil
Good
Girl/Female
Greek American Welsh Latin
Holy one.
Girl/Female
American, British, English, Hebrew
To Flow Down; Descender
Boy/Male
Indian, Punjabi, Sikh
Earning the Wealth of Naam
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi
Nearness
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Sanskrit, Telugu
The Moon; A Shining Moon; Night of Twilight
Boy/Male
Celebrity, Hindu, Indian, Kannada, Marathi, Sanskrit, Tamil, Telugu, Traditional, Turkish
Name of God Murugan; Child; Young One
Boy/Male
Arabic, Muslim
Great (Man) of the Religion Islam
Male
English
(מִיכָה) Hebrew name MIYKAH means "who is like God?" In the bible, this is the name of many characters, including a minor prophet. The Anglicized form is Michah.
SIMULTANEOUS ACTION-SELECTION
SIMULTANEOUS ACTION-SELECTION
SIMULTANEOUS ACTION-SELECTION
SIMULTANEOUS ACTION-SELECTION
SIMULTANEOUS ACTION-SELECTION
n.
Action by, or originating in, one's self or itself.
v. t.
To sell by auction.
a.
Having the power or quality of acting; causing change; communicating action or motion; acting; -- opposed to passive, that receives; as, certain active principles; the powers of the mind.
n.
A right of action; as, the law gives an action for every claim.
n.
Movement; as, the horse has a spirited action.
a.
In action; actually proceeding; working; in force; -- opposed to quiescent, dormant, or extinct; as, active laws; active hostilities; an active volcano.
a.
Given to action; constantly engaged in action; energetic; diligent; busy; -- opposed to dull, sluggish, indolent, or inert; as, an active man of business; active mind; active zeal.
n.
Any one of the active processes going on in an organism; the performance of a function; as, the action of the heart, the muscles, or the gastric juice.
n.
Effective motion; also, mechanism; as, the breech action of a gun.
a.
Existing, happening, or done, at the same time; as, simultaneous events.
a.
Given to action rather than contemplation; practical; operative; -- opposed to speculative or theoretical; as, an active rather than a speculative statesman.
n.
The things sold by auction or put up to auction.
a.
Requiring or implying action or exertion; -- opposed to sedentary or to tranquil; as, active employment or service; active scenes.
a.
Implying or producing rapid action; as, an active disease; an active remedy.
n.
A proposal or suggestion looking to action or progress; esp., a formal proposal made in a deliberative assembly; as, a motion to adjourn.
n.
Any action in resisting other action or force; counter tendency; movement in a contrary direction; reverse action.
n.
A process or condition of acting or moving, as opposed to rest; the doing of something; exertion of power or force, as when one body acts on another; the effect of power exerted on one body by another; agency; activity; operation; as, the action of heat; a man of action.
n.
A simultaneous discharge of firearms.
n.
An engagement between troops in war, whether on land or water; a battle; a fight; as, a general action, a partial action.