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Using Logistic Regression to Analyze the Balance of a Game: The Case of StarCraft II
Balance of a Game Logistic Regression StarCraft II
2011/6/16
Recently, the market size of online game has been increasing astonishingly fast, and so does the
importance of good game design. In online games, usually a human user competes with others,
so the fa...
On a general zero-sum stochastic game with optimal stopping
a general zero-sum stochastic game optimal stopping
2009/9/24
In the paper a general zeroaum stochastic game with
stopping is considered. Using the so-called penalty method the author
shows the existence of the value of the game under fairly general
assumptio...
Addendum to the paper "On a general zero-sum stochastic game with optimal stopping"
Addendum a general zero-sum stochastic game optimal stopping
2009/9/24
Addendum to the paper "On a general zero-sum stochastic game with optimal stopping"。
On a general zero-sum stochastic game with stopping strategy for one player and continuous strategy for the other
a general zero-sum stochastic game stopping strategy
2009/9/24
On a general zero-sum stochastic game with stopping strategy for one player and continuous strategy for the other。
Infinite horizon reflected backward stochastic differential equations and applications in mixed control and game problems
Backward stochastic differential equation Infinite horizon Reflected barriers
2009/9/22
We prove existence and uniqueness results of the solution
for infinite horizon reflected backward stochastic differential equations
with one or two barriers. We also apply these results to get the
...
Modelling Game Outcomes of the Brazilian 2006 Series A Championship as Ordinal-valued
Modelling Game Outcomes the Brazilian Championship
2009/9/17
Modelling Game Outcomes of the Brazilian 2006 Series A Championship as Ordinal-valued。
Consider a two-person zero-sum game played on a random n by n matrix where the entries are iid normal random variables. Let Z be the number of rows in the support of the optimal strategy for player I ...
A Controller And A Stopper Game With Degenerate Variance Control
stochasticgames optimalstopping degeneratediusions saddlepoint
2009/4/22
We consider a zero sum stochastic differential game which involves two players, emph{the controller} and emph{the stopper}. The stopper selects the stopping rule which halts the game. The controller c...
A Controller And A Stopper Game With Degenerate Variance Control
Controller stochastic differential game diffusion coefficient
2009/4/1
We consider a zero sum stochastic differential game which involves two players, emph{the controller} and emph{the stopper}. The stopper selects the stopping rule which halts the game. The controller c...
Game-Theoretic Derivation of Discrete Distributions and Discrete Pricing Formulas
binomial distribution Cox-Ross-Rubinstein formula hypergeometric distribution lower price Polya's distribution probability protocol replicating strategy upper price
2009/3/5
In this expository paper, we illustrate the generality of the game-theoretic probability protocols of Shafer and Vovk (2001) in finite-horizon discrete games. By restricting ourselves to finite-horizo...