2. in an all-pay auction the highest bidder wins the objeot and all bidders pay their bid. Sup- pose four bidders have the same commonly known valuation i: 4 1 for an object and non simultaneously and independently submit any bid s E [II], so). [a] Find a Nash equilibrium in which all bidders submit positive bids with positive probability. (b) Find a. Sash equilibrium in which exactly two of the bidders submit positive bids with positive probability. to] in eaoh ease, what. is the equilibrium payoff oF eaoh bidder