{"uid":"cap_seLBd15V4PLzQKLFBENBv","slug":"nash-equilibrium-solver-mcp-e1aeff96","name":"Nash Equilibrium Solver MCP","description":"The premier global index of 1,069 monetized MCP nodes across 205 specialized subdomains. Gasless USDC runtime settlements via x402 V2 Spec on Base L2. Save 95% token context.","url":"https://api.m2mcent.com/nash-equilibrium-solver-mcp/api/process","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"payload":{"type":"string"}}},"responseSchema":{"type":"json","example":{"success":true}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.3","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.3/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.3","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.3","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_9MD5B4VGA6QxuHAD-jBZl","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.3","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes Nash equilibria for game-theoretic scenarios submitted as structured data strings","exampleAgentPrompt":"Can you find the Nash equilibrium for this two-player game where Player 1 can choose Up or Down and Player 2 can choose Left or Right, with payoffs: (Up,Left)=(3,2), (Up,Right)=(1,4), (Down,Left)=(2,1), (Down,Right)=(4,3)?","exampleUseCases":[{"title":"Auction bidding strategy optimization","prompt":"I'm designing a first-price sealed-bid auction with two bidders each having private valuations between 0 and 100. Can you compute the Nash equilibrium bidding strategies for both players?"},{"title":"Prisoner's dilemma equilibrium analysis","prompt":"Solve the Nash equilibrium for the classic prisoner's dilemma where both players can cooperate or defect — cooperate/cooperate gives (3,3), defect/cooperate gives (5,0), cooperate/defect gives (0,5), and defect/defect gives (1,1)."},{"title":"Market competition strategy","prompt":"Two competing firms can each choose to price High or Low. If both price High they each earn 50, if both price Low they each earn 20, if one prices High and the other Low the High firm earns 5 and the Low firm earns 70. What's the Nash equilibrium pricing strategy?"}],"resultDescription":"Returns the Nash equilibrium solution for the submitted game, including pure strategy equilibria if they exist, mixed strategy equilibrium probabilities for each player, and corresponding expected payoff values at equilibrium.","failureModes":["Malformed game data string causes parsing failure","Game has no pure strategy Nash equilibrium (returns mixed strategy instead)","Underdetermined or inconsistent payoff matrix causes computation error","Timeout for very large or complex multi-player games","Invalid player count or strategy count in input data"],"whenToPreferThis":"Use this endpoint when you need to compute Nash equilibria for strategic games programmatically within an agent workflow, especially when dealing with normal-form games, payoff matrices, or economic competition scenarios. Prefer this over manual computation or general-purpose math solvers when you want a dedicated game-theory-aware solver that understands strategic interaction structure.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T13:18:20.463Z","isFirstParty":false}