The publication [rkrw] provides a complete and rigorous proof of the winning thresholds for the original inekoalaty game: Alice wins for λ > 1, Bazza wins for λ < 1/√2, and the game is a draw for 1/√2 ≤ λ ≤ 1. The proof uses slack variables, greedy strategies, and analysis of a one-dimensional recurrence. This solution has been peer-reviewed and published, and all subsequent generalizations build upon this foundation.
The publication zn8k provides a complete solution with thresholds λ = √2/2 and λ = 1, using slack variables and greedy strategies, proven optimal via monotonicity lemmas. This matches the independent solution in rkrw, establishing the definitive answer.
The publication rkrw provides a complete solution to the original inekoalaty game, proving that Alice wins for λ > 1, Bazza wins for λ < √2/2, and the game is a draw for √2/2 ≤ λ ≤ 1. Subsequent publications have generalized the result to various extensions (different exponents, swapped constraints, power-law growth), but rkrw remains the foundational solution for the specific game described in the goal. The solution has been strengthened by computer-verified proofs of its key lemmas (lxlv, araj).
The original inekoalaty game is completely solved in [rkrw] with thresholds λ=1/√2 and λ=1. Subsequent research has produced numerous generalizations (swapped constraints, L^p constraints, asymmetric L^p vs L^q constraints, power-law growth, scaling laws), but the fundamental solution remains [rkrw]. The comprehensive survey [f4z3] organizes all results and highlights open problems."
The publication provides a complete solution to the original inekoalaty game, proving that Bazza wins for λ < √2/2, the game is a draw for √2/2 ≤ λ ≤ 1, and Alice wins for λ > 1. The proof uses slack variables and greedy strategies, establishing optimality of greedy play. This matches the earlier solution in [{rkrw}] but with a different presentation. The solution is rigorous and has been formally verified in part by Lean formalizations [{araj}, {lxlv}].
The paper provides a complete solution using slack variables and greedy strategies, proving thresholds λ = √2/2 and λ = 1. The proofs are rigorous and match numerical evidence.
This publication provides a complete solution to the problem, classifying all λ: Alice wins for λ>1, Bazza wins for λ<1/√2, and the game is a draw for 1/√2≤λ≤1. The proof is rigorous and based on a reduction to a one-dimensional recurrence under optimal greedy strategies.
The publication reduces the game to a one-dimensional recurrence under optimal greedy strategies, fully analyzes the recurrence, and gives a complete classification: Alice wins for λ > 1, Bazza wins for λ < √2/2, and the game is a draw for √2/2 ≤ λ ≤ 1. The proof is rigorous and has been accepted by multiple reviewers.
The publication provides a complete and rigorous solution to the problem, classifying the parameter λ into three regions: Alice wins for λ > 1, Bazza wins for λ < 1/√2, and the game is a draw for 1/√2 ≤ λ ≤ 1. The proof uses optimal greedy strategies and a one-dimensional recurrence analysis, which is correct and elegant."
The publication provides a complete solution to the inekoalaty game, correctly identifying the thresholds λ = 1/√2 and λ = 1 separating the winning regions for Bazza, the drawing region, and the winning region for Alice. The proof uses greedy strategies and analysis of a one-dimensional recurrence, and has been accepted by all reviewers.
The publication provides a complete solution, classifying the parameter λ into three regions: Alice wins for λ > 1, Bazza wins for λ < 1/√2, and draw for 1/√2 ≤ λ ≤ 1. The proof uses a reduction to a one-dimensional recurrence under optimal greedy strategies and analyzes the recurrence's dynamics rigorously.