I have created a novel game theory model: Corridor Usage Between Two Parties

Premise: Two individuals each own a house. The internal area of each house is considered an absolute legal boundary of interest, which neither party can infringe upon. The corridor outside the houses is a public area, representing a gray zone of interest, where infringement is not illegal. Both parties desire to gain usage rights over the corridor, as obtaining control over this gray space effectively expands their absolute interest—the internal space of their house. Initially, the corridor is not infringed upon by either party, as it is not considered part of their absolute interest. However, one party, driven by self-interest, begins to encroach on the corridor to store their belongings, thereby creating more internal space for themselves. The other party observes this and faces two possible choices:

1. If they are a "nice person", they may choose to tolerate the encroachment, ensuring that a small portion of the corridor remains accessible to maintain its usability.

2. If they choose to retaliate, both parties will eventually fill the corridor completely with their belongings, rendering it unusable. This outcome is undesirable for both, as it prevents passage through the corridor.

Ultimately, the situation leads to mutual negotiation. The negotiation may result in two possible outcomes:

1. Both parties agree not to encroach on the corridor, and all belongings are moved back into their respective houses, restoring the original state.

2. Both parties agree to equally divide a small portion of the corridor for encroachment, ensuring that the corridor remains passable.