Open problem: how can we quantify player alignment in 2x2 normal-form games?

📖 Description

In my experience, [constant-sum games](https://www.cs.umd.edu/~hajiagha/474GT13/Lecture09102013.pdf) are considered to provide "maximally unaligned" incentives, and [common-payoff games](https://www.cs.umd.edu/~hajiagha/474GT13/Lecture09102013.pdf) are considered to provide "maximally aligned" incentives. How do we quantitatively interpolate between these two extremes? That is, given an arbitrary 2?2.mjx-chtml {display: inline-block; line-height: 0; text-indent: 0; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 100%; font-size-adjust: none; letter-spacing: normal; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0; min-height: 0; border: 0; margin: 0; padding: 1px 0} .MJXc-display {display: block; text-align: center; margin: 1em 0; padding: 0} .mjx-chtml[tabindex]:focus, body :focus .mjx-chtml[tabindex] {display: inline-table} .mjx-full-width {text-align...

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🔗 Sources

• [1] https://www.alignmentforum.org/posts/ghyw76DfRyiiMxo3t/open-problem-how-can-we-quantify-player-alignment-in-2x2