The convergence of near potential games to an e-equilibrium is studied. Using the vector space structure, the projection of finite games to the subspace of exact (or weighted) potential games is considered, and a simple formula is given to calculate the projection. Certain SURs, which assure the convergence of trajectories to pure Nash equilibriums, are investigated.

Strategy profile dynamics is obtained using different strategy updating rules (SURs). Then the finite evolutionary games (EGs) are considered. Under the vector space structure the subspaces of exact and weighted potential games are investigated. Two statical equivalences are used to reduce the dimension of finite games. You can use your mouse to play this game.A vector space structure is proposed for the set of finite games with fixed numbers of players and strategies for each players. Play Run by clicking here and find yourself in a space labyrinth. Run boy run! Run on Earth and run in space. Are your reflexes fast enough to help you survive this disaster? Good luck! Collect all the coins and other collectibles to unlock cool new tricks. Don't look back and act fast to live through this experience. The storm is also chasing you, so you need to be really quick. There are countless gaps, spikes, and other obstacles that block your path. When you see an obstacle, you need to slide down. When you see a gap between the buildings, press the left mouse button and swipe the mouse cursor up to jump. To control your character, all you need is your mouse.

Your objective is to reach the end of each level by overcoming the obstacles. You only have one option: run! Jump out of the building's window and get ready to perform amazing stunts like Tom Cruise! Only then can you live. Unfortunately, you are one of those things that stand in its way. A terrible storm came from the west and it swept away everything that stood in its path. Do you want to be a part of the ghosts or do whatever it takes to survive and live to tell the tale? A disaster struck the city and now, the once alive and dynamic city is nothing but a ghost city. Everything was going great, but one morning, all of that changed. Vector Rush is here to give your legs a workout.

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