Links:
Both artworks have identical pre-auction estimates of USD 7,500,000 – USD 10,000,000.
This market resolves to the artwork which sells for a higher value at their upcoming Christie's auction.
Resolution details
Example from a past auction: this painting by Gentilesch has a "price realised" of USD 982,800. This is the equivalent number I will use—whatever is displayed by the auction page.
Note that the final listed sale price typically includes the buyer's premium (and potentially other fees).
Edge cases:
If one is pulled before it is put up for auction, resolves N/A.
If one goes up for auction but fails to sell for any reason, it resolves to the other.
If there's a tie or they both fail to sell, both resolve at 50%.
Pierre-Auguste Renoir - Baigneuse

There is an inherent tranquility to the scene, accentuated by the model’s relaxed, unselfconscious demeanor as she gazes off into the distance, unafraid of being discovered in her state of undress. The naturalness of the scene reflects the artist’s extensive experience with painting en plein air, which allowed him to convey the fleeting passage of diffused light as it shifts over her form. The surface of her skin is rendered in a lively play of subtly variegated color, from creamy peach tones and blush pinks, to soft lavenders and cool blues, which intertwine and overlap in a carefully orchestrated network of delicately layered brushstrokes that articulate the volumes of her body. (Lot essay)
David Hockney - My Garden in Los Angeles

Luscious strokes of vibrant, Fauvist colors coalesce in David Hockney’s My Garden in Los Angeles, London, July 2000 in a virtuoso demonstration of mature mastery. The painting mediates on two of Hockney’s most pressing concerns—that of memory and that of space—resolving a decades-long dilemma around the uses of perspective in his paintings. The present work is a culmination of this exploratory process, synthesizing the lessons which Hockney learnt across his painted landscapes of Yorkshire, his abstract paintings, and his theatre productions. Here, the artist establishes a dynamic, expansive, and vivid point of view reflecting his own treasured memory of the distinctive pool, terrace, and garden at his Hollywood Hills home. Painted in London, The work is a deeply personal reflection on his memory of this intimate space as well as on his famous pool motif. Finally escaping the restrictions of conventional Albertian one-point linear perspective, Hockney opens up a new and expansive universe, depicting in paint the third and fourth dimensions in order to express an exciting sense of space, movement, and emotion on the flat surface of his canvas. (Lot essay)