That story makes no sense. If those farmers of Palanpur can not agree to plant all together at the right time, how come they manage it several weeks later, or ever?
At some point, the individual losses from planting later become larger than the losses from birds. Then somebody plants, and then they all do. The first farmer to plant loses more to birds than everyone else, but less than he would by delaying more.
Also, I think their will be time limit. Like you have to sow in a week or you loose the window for the winter corp. And you know everybody will sow in that last weeks. I think there is some game theory around this.