| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
The concept of Nash equilibrium has played a central role as a solution concept in game theory. However, when a game has multiple Nash equilibria, the players face a problem which equilibrium they should play. To treat this problem, Hofbauer(1999) introduced the concept of spatial dominance by means of the stability of a constant stationary solution, which corresponds to a Nash equilibrium, to a reaction-diffusion system. That a Nash equilibrium is spatially dominant means that if it initially prevails on a large finite part of the space, then it takes over the whole space in the long run. In this research project we investigated the selection criterion of spatial dominance.
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