mechanism
Explanation
This comic satirizes the impossibility of choosing a restaurant (or any dinner option) as a family or group. A woman proposes an elaborate formal process: each family member must "submit a bid expressing his or her valuation of his or her preferred dinner option," after which a mechanism will determine the result.
Her family immediately protests: "No! No! You pick! Go! GOD!" -- they would rather surrender all agency than participate in a structured decision process.
The caption introduces this as "the Vickrey-Clarke-Groves-Weinersmith mechanism," a parody of the real Vickrey-Clarke-Groves (VCG) mechanism from auction theory and mechanism design in economics. The real VCG mechanism is a method for achieving efficient allocation through truthful bidding. The joke version adds "Weinersmith" (the cartoonist's own name) and redefines the mechanism as: "you use a Vickrey-Clarke-Groves mechanism until everyone gives up and just does what you want."
The humor is in recognizing that threatening to impose a rigorous formal process on a casual decision is the most effective way to get people to just let you choose.