Game Theory Tools
Browse all available game theory tools.
Available tools
- Auction First Price Symmetric Value Factor Tool Risk-neutral symmetric independent private values uniformly distributed on a common interval, no reserve; caller value lies in that interval.
- Auction Reserve Equality Token Tool One supplied reserve-price equality policy, not an auction winner or payment mechanism.
- Auction Revenue Reserve Eligible Bid Tool Check one explicit bid against an inclusive reserve and report its eligible first-price contribution without selecting an auction winner.
- Auction Second Price Gap Tool Inspect supplied bids under second-price order statistics without reserve prices or tie allocation.
- Banzhaf One Swing Indicator Term Tool Calculate banzhaf one swing indicator term from explicit caller-supplied inputs.
- Bargaining Disagreement Coordinate Gap Tool Compare one supplied disagreement payoff coordinate with an explicit reference, without normalization or a bargaining solution.
- Bargaining Disagreement Surplus Compare explicit bargaining payoffs to supplied disagreement payoffs without selecting a bargaining solution.
- Bargaining Weighted Logsurplus One Party Term Tool One weighted log surplus term in a generalized Nash bargaining objective.
- Battle Of Sexes Mixed Probability Term Tool Coordination diagonals (rowPreferred,columnOther) and (rowOther,columnPreferred), both off-diagonal payoffs zero.
- Best Response One Action Payoff Gap Tool Calculate best response one action payoff gap from explicit caller-supplied inputs.
- Best-Response Dynamics Demonstrator Iteratively update two pure strategies to deterministic best responses and expose equilibria or cycles.
- Coalition Veto Player Budget Tool Veto-player condition for a supplied nonnegative weighted voting game.
- Congestion Potential One User Increment Tool One unweighted Rosenthal resource potential increment equals latency at usersBefore+1; latency is supplied, not inferred.
- Congestion Resource Cost Term Multiply an explicit resource user count by an externally supplied per-user congestion cost.
- Contest Success Two Effort Share Tool Two-player Tullock contest success function; a zero-versus-zero contest is undefined and rejected.
- Coordination Game Mixed Equilibrium Payoff Gap Tool Symmetric two-action coordination game with positive diagonal payoffs and zero mismatch payoffs.
- Core Coalition Excess One Subset Tool Calculate core coalition excess one subset from explicit caller-supplied inputs.
- Correlated Device One Obedience Term Tool One joint recommendation-profile term in a correlated-equilibrium incentive constraint.
- Duopoly Firm Residual Demand Term Tool Subtract supplied rival quantity from market quantity at one explicit price without estimating a demand curve or equilibrium.
- Evolutionary Stability One Mutant Payoff Gap Tool Check the two ESS inequalities against one specified mutant, not against all possible mutant strategies.
- Game Theory: Prisoner Dilemma Payoff Ordering Check Tool Check supplied symmetric prisoners-dilemma payoff inequalities and an explicit optional 2R>T+S efficiency condition; no equilibrium solver or advice.
- Matching Game Blocking Pair Flag Tool Flag one unpaired candidate whose two explicit strict-preference flags are true, without searching a matching or inferring preferences.
- Maximin Single Strategy Guaranteed Payoff Tool Return one supplied strategy minimum payoff and first minimizing opponent-action index without optimizing over strategies.
- Mechanism Budget Balance One Profile Tool Positive payments flow to the mechanism; exact balance includes the supplied external cost.
- Mixed Deviation Support Mass Tool Sum supplied strategy mass on independently classified profitable deviations without computing payoffs or equilibria.
- Mixed Strategy Support Residual Tool Audit supplied candidate strategy mass against an explicit support mask without certifying an equilibrium.
- Mixed Strategy Two Action Indifference Tool Solve q*a+(1-q)*b=q*c+(1-q)*d; a degenerate indifference equation is rejected.
- Nash Deviation One Player Slack Tool One weighted unilateral-deviation contribution, which alone does not establish Nash equilibrium.
- Payoff Affine Transform Apply an explicit positive affine transformation to one payoff without comparing interpersonal utilities.
- Public Good Voluntary Contribution Payoff Term Tool Calculate public good voluntary contribution payoff term from explicit caller-supplied inputs.
- Pure Strategy Best Response Flag Check a supplied strategy choice against explicit payoff alternatives under a caller-supplied tolerance.
- Pure-Strategy Nash Equilibrium Calculator Find every pure-strategy Nash equilibrium in a finite two-player normal-form game, including tied best responses. Strategy indices are zero-based; mixed-strategy equilibria are not computed.
- Repeated Game Deviation Deterrence Gap Tool Check an explicit infinite-horizon one-shot deviation incentive with constant cooperative and punishment payoffs, normalized by one minus discount factor.
- Repeated Game Discount Weight Return the period weight for a supplied geometric discount convention, including weight one in period zero.
- Repeated Game Finite Punishment Payoff Term Tool One deviation today followed by T punishment periods then cooperation, using unnormalized discounted payoffs.
- Repeated Payoff Truncation Bound Tool Geometric absolute bound on an unnormalized discounted payoff tail, indexed from period zero.
- Second Price Auction One Bid Payment Tool Single-unit sealed-bid second-price auction with explicit reserve and tie outcome.
- Shapley One Coalition Marginal Term Tool One Shapley summand with weight |S|!(n-|S|-1)!/n!, evaluated through a binomial-product denominator.
- Stag Hunt Risk Dominance Payoff Product Tool Compare supplied unilateral-deviation loss products for two coordination equilibria using the strict risk-dominance criterion.
- Strategy Deviation Regret Compare one supplied deviation payoff with a realized payoff without solving an equilibrium.
- Strategy Indifference Support Share Tool Measure supplied strategy-support mass near a payoff reference; no equilibrium solver.
- Strategy Support Positive Count Tool Count supplied positive strategy masses under an explicit tolerance without asserting a normalized equilibrium.
- Tie Payoff Action Indifference Gap Tool Calculate tie payoff action indifference gap from explicit caller-supplied inputs.
- Transferable Utility Core Coalition Slack Tool Check one explicit transferable-utility coalition allocation inequality without asserting full core membership or efficiency.
- Tremble Probability Single Action Term Tool Mix one explicit action probability with a uniform tremble across a supplied positive action count without validating a full strategy vector.
- Two Player Correlated Recommendation Incentive Term Tool Calculate one probability-weighted obey-minus-deviate payoff contribution to an explicit correlated-equilibrium incentive inequality.
- Zero Sum Two By Two Saddle Gap Tool Calculate zero sum two by two saddle gap from explicit caller-supplied inputs.