In this paper, we show that pure strategy Nash Equilibria in Prime Game and Expansive Game can be linked through an invertible mapping, with which the pure strategy Nash Equilibrium in Prime Game can be easily derived from Expansive Game. Our results provide a tool to solve pure strategy Nash...

We generalize Klumpp, Konrad and Solomon’s model (KKS Model) to multi-contestant sequential Colonel Blotto Games with prize functions where any contestant’s prizes only depend on this contestant’s own number of winning rounds. We show that with weakly monotonic prize functions and CSFs...

We generalize Klumpp, Konrad and Solomon's model (KKS Model) to multi-contestant sequential Colonel Blotto Games with prize functions where any contestant's prizes only depend on this contestant's own number of winning rounds. We show that with weakly monotonic prize functions and CSFs...

We consider a large class of 2-contestant Colonel Blotto games, for which the budget and valuation are both asymmetric between players and the contest success functions are in Tullock form with battle-specific discriminatory power in (0, 1] and battle-and-contestant-specific lobbying...

In this paper, we fully characterize the Nash Equilibrium in the winner-take-all Bertrand Game, showing that a mixed strategy profile is a Nash Equilibrium, if and only if it is a zero operating profit one, and there exist at least two players whose bids are all unprofitable. Compared with...

We consider a large class of 2-contestant Colonel Blotto games, for which the budget and valuation are both asymmetric between players and the contest success functions are in Tullock form with battle-specific discriminatory power in (0, 1] and battle-and-contestant-specific lobbying...

We study the incentives of players to disclose information on their private valuations of the prize ahead of a rent-seeking contest. We show that information sharing can arise in equilibrium if types are concentrated enough, whereas sharing information is strictly dominated if types are...

Individual contributions to public goods can be framed in absolute or relative metrics. We examine the effects of asymmetric framing and informational feedback on contributions when group members are heterogeneously endowed. We develop a reference-dependent theory in which the absolute or...